Исследование геометрии Керра и ее обобщений на базе комплексного представления и формализма Керра-Шильда
Диссертация
Простая N=1 теория супергравитации была предложена Дезером и Зумино в работе. В дополнение к метрике (или тетраде) она включает в себя калибровочное поле спина 3/2 и инвариантна при локальных супертрансляциях. Это позволяет путем калибровочных суперпреобразований получать решения в супергравитации из известных решений Эйнштейновской гравитации. Первые решения для «супер» черных дыр были получены… Читать ещё >
Список литературы
- Debney G.C., Kerr R.P. and Schild A. Solutions of the Einstein and Einstein-Maxwell equations/J Journ. Math. Phys. 1969. V.10.-N.10.-P.1842−1854.
- Newman E.T. Maxwell’s Equations and Complex Minkowski Space// Journ. Math. Phys. 1973. V.14.-N.1.-P.102−103.
- Lind R.W. and Newman E.T. Complexification of the Algebraically Special Gravitational Fields// Journ. Math. Phys. 1974. V.15.-N.7.-P.1103−1112.
- Эддингтон А. С. Теория Относительности.- Ленинград: ГТТИ, 1934.
- Мизнер Ч., Торн К., Уилер Дж.А. Гравитация. В Зт.-Москва: Мир, 1977. Т.З.
- Kramer D., Stephani Н., Herlt Е. and MacCallum М. Exact Solutions of Einstein’s Field Equations.- Cambridge: Cambridge Univ. Press, 1980.
- Newman E. and Penrose R. An Approach to Gravitational Radiation by a Method of Spin Coefficients// Journ. Math. Phys. 1962. V.3.-N.3.-P.566−578.
- Алексеев Г. А. и Хлебников В.И. Формализм Нъюмена-Пенроуза // ЭЧАЯ (ОИЯИ). 1978. Т.9.-Вып. 5.-С. 790−870. -М: Атомиздат, 1978.
- Whittacker E.T. and Watson G.N. A course of modern analysis.-London/New York: Cambrige Univ. Press, 1969.-P.400.
- Иваненко Д., Буринский А. Я. Спин-струны в гравитации // Известия вузов. Физика. 1978.-N.7.-C.113−119.
- Буринский А.Я. Струны в метриках Керра-Шилъда/ / В сб.: Проблемы теории гравитации и элементарных частиц. 1980.-Вып.11.-С.47−60. -Москва: Атомиздат.
- Burinskii A. and Magli G. Kerr-Schild approach to the boosted Kerr solution // Phys. Rev. D. 2000. V.61. -Iss.4-P.44 017 (1−6).
- Burinskii A. Kerr Spinning Particle, Strings and Superparticle Models // Phys. Rev. D. 1998. V.57.-N.4.-P.2392−2396.
- Burinskii A. Kerr Spinning Particle and Superparticle Models/ / In: Supersymmetry and Quantum Field Theory. Proceedings of the D. Volkov Memorial Seminar. Eds. J. Wess and V. Akulov / Lecture Notes in Physics. 1998. V.509.-P.214−219. Springer, 1998.
- Ferrara S. and van Nieuwenhuizen P. Consistent supergravity with complex spin-3/2 gauge field// Phys.Rev. Lett. 1976. V.37.-N.25.-P.1669−1671.
- Burinskii A. Super-Kerr-Newman Solution to Broken N=2 Supergravity // Class. Quant. Grav. 1999. V.16.-N.11.-P.3497−3516.
- Carter B. Global structure of the Kerr family of gravitational fields // Phys. Rev. 1968. V. 174.-N.5.-P.1559−1571.
- Israel W. Source of Kerr metric // Phys. Rev.D. 1970. V.2.-N.4.-P.641−646.
- Буринский А.Я. Микрогеон со спином // ЖЭТФ. 1974. т. 66.-Вып.2. С.406−411.
- Буринский А.Я. Микрогеон с метрикой Керра // Известия вузов. Физика. 1974.-N.8.-C. 21−24.
- Lopez С.А. Extended model of the electron in general relativity. Phys. Rev. D. 1984. V.30.-N.2, P.313−316.
- Иваненко Д., Буринский А. Я. Гравитационные струны в моделях элементарных частиц// Известия вузов. Физика. 1975.-N. 5.-С.135−138.
- Burinskii A. Complex String as Source of Kerr Geometry// Espec. Space Explorations. 1995. V.9(C2).-P.60−68. -Moscow: Belka, 1995.
- Буринский А.Я. К проблеме источника геометрии Керра (Струны, Твисторы, Энергия Казимира)!J В сб: Проблемы гравитации / Ред. проф. Д. Гальцова.-М: Изд. МГУ, 1986.-С. 215−232.
- Буринский А.Я. К проблеме источника геометии Керра jJ Известия вузов. Физика. 1988.-N.5.-C.80−86.
- Dabholkar A., Gibbons G., Harvey J.A. and Ruiz Ruiz F. Superstrings and Solitons// Nucl. Phys. B. 1990. V.340.-N.1.-P.33−55.
- Israel W. Line Sources in General Gravity// Phys. Rev. D. 1977. V. 15.-N.4.-P. 935−945.
- Penrose R. Twistor Algebra// Journ. Math. Phys. 1967. V.8.-N.2, P.345−366.
- Penrose R. and Rindler W. Spinors and space-time: In.2v. -England: Cambridge Univ. Press, 1986. 2v.
- Сакс P. Гравитационное излучение// В сб.: Гравитация и топология. -Москва: Мир. 1966.-С.84−151.
- Kerr R. P. and Willson W. В. Singularities in the Kerr-Schild Metrics// Gen. Rel. Grav. 1979. V.10.-N.4.-P.273−281.
- Burinskii A., Kerr R.P. and Perjes Z. Nonstationary Kerr Congruences// In: Proceedings of 14th International Conference on General Relativity and Gravitation.-Florence. 1995.-P. A71.
- Burinskii A. The problem of the source of the Kerr Newman metric: The volume Casimir effect and superdense pseudovacuum state// Phys. Lett. B. 1989. V.216.-N.l, 2.-P.123−126.
- Burinskii A., Complex Structure of Kerr Geometry and Rotating «Photon Rocket» Solutions// Class. Quantum Grav. 2003. V.20.-N.5. -P.905−912.
- Nishino H. Stationary axisymmetric black holes, N=2 superstring, and selfdual gauge or gravity fields// Phys. Lett. B. 1995. V. 359.-N.l, 2, P.77−86.
- Burinskii A. Some Properties of the Kerr Solution to Low-energy String Theory// Phys.Rev. D. 1955. V.52.-N.10.-P. 5826−5831.
- Sen A. Rotating charged black hole solution in heterotic string theory (/ Phys. Rev. Lett. 1992. V. 69.-N.7.-P.1006−1009.
- Sen A. Black holes and solitons in string theoryt// TVta Institute preprint TIFR-TH-92−57. USA, 1992.-22p. LANL e-print Arxive: hep-th/9 210 050.
- Hassan S. and Sen A. Twisting classical solutions in heterotic string theory// Nucl. Phys. B. 1992. V.375.-N.1.-P.103−118.
- Sen A. Extremal black holes and elementary string states// Modern Phys. Lett. A. 1995. V.10.-N.28.-P.2081−2093- Nucl. Phys. Proc. Suppl. 1996. V.46, П. 6.-Р.198−203.
- Holzhey C.F. and Wilczek F. Black holes as elementary particles// Nucl. Phys. B. 1992. V.380.-N.3.-P.447−477.
- Буринский А.Я. Новые точные решения системы уравнений Эйнштейна -Максвелла// В сб.: Проблемы теории гравитации и элементарных частиц / 1977. -Вып.8. -С.69−77. -Москва: Атомиздат, 1977.
- Буринский А.Я. Решения системы уравнений Эйнштейна -Максвелла с волновым электромагнитным полем// В сб.: Гравитация и Теория Относительности./ 1978.-Вып. 14.-С.21−27. -Казань: Казанский университет, 1978.
- Изместьев А.А. Волновые поля типа пучков и пространственное квантование момента// Теор. Мат. Физ. 1971. Т. 7.-Вып.З.-С.358−371.
- Burinskii A. Ya. String-like Structures in Complex Kerr Geometry// In: Proceedings of the Fourth Hungarian Workshop on General Relativity / Eds. R. Kerr and Z. Perjes. -Budapest: Academiai Kiado, 1994.-P.149−158.
- Burinskii A. The Kerr Geometry, Complex World-Lines and Hyperbolic Strings. Phys. Lett. A. 1994.-Iss.5−6. V.185.-P.441−445.
- Burinskii A. The Kerr Spinning Particle and Strings // Commun. in Theor. Phys. (India). 1994.V.3.-N.2.-P.180−187.
- Грин М., Шварц Дж. и Виттен Э. Теория Суперструн. В 2 т. -Москва: Мир, 1990.
- Witten Е. On string theory and black holes J J Phys. Rev. D. 1991. V.44.-N.2.-P.314−324.
- Horava P. Some exact solutions of string theory in four-dimensions and five-dimensions// Phys. Lett. B. 1992. V. 278.-N.l, 2.-P.101−110.
- Burinskii A. and Magli G. Behavior of Singularities of the Kerr-Newman and Kerr-Sen Solutions by Arbitrary Boost// Annals of the Israel Phys. Soc. 1997. V.13.-P.296−310.
- Gal’tsov D.V. and Kechkin O.V. Ehlers Harrison type transformations in dilaton — axion gravity// Phys. Rev. D. 1994. V.50.-N.12.-P.7394−7399.
- Volkov M.S. and Galtsov D.V. Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields// Phys. Rept. 1999. V.319.-Iss.2-P.2−83.
- Deser S. and Zumino B. Consistent supergravityf / Phys. Lett. B. 1976. V.62.-N.3.-P.335−337.
- Baaklini N. S., Ferrara S. and van Nieuwenhuizen P. Classical Solutions In Supergravityf/ Nuovo Cimento Lett.B. 1977. V.20.-N.4.-P.113−116.
- Deser S. and Zumino B. Broken supersymmetry and supergravityf/ Phys. Rev. Lett. 1977. V.38.-N.25.-P.1433−1436.
- Волков Д.В. и Акулов В.П. О возможном универсальном взаимодействии нейтрино// Письма в ЖЭТФ. 1972, т.16.-Вып.11.-С.621−624.
- Burinskii A. Non-trivial Supergeneralization of the Kerr-Newman Solution// Ann. Phys.(Leipzig). 2000. V.9, Spec. Issue.-P.34−37.
- Cox D. and Flaherty E.J. A Conventional Proof of Kerr’s Theorem// Commun. Math. Phys. 1976. V. 47.-N.1.-P.75−79.
- Krasinski A. Ellipsoidal Space-Times: Sources for the Kerr Metric// Ann. Phys. (NY). 1978. V.112.-N.1.-P.22−40.
- McManus D. A Toroidal Source for the Kerr Black Hole Geometry// Class. Quantum Grav. 1991. V.8.-N.5.-P.863−878.
- Hamity V. Interior of Kerr metric// Phys. Lett.A. 1976, v.56.-N.2-P.77−78.
- Lopez C.A. Material and Electromagnetic Sources of the Kerr-Newman Geometry// Nuovo Cimento B. 1983. V.76.-N.1.-P.9−27.
- Tiomno I. Electromagnetic Field of Rotating Charged Bodies// Phys. Rev.D. 1973. V.7.-N.4.-P.992−997.
- Frolov V.P., Markov M.A. and Muchanov V.F. Through A Black Hole Into A New Universe// Phys. Lett.B. 1989. V.216.-N.3,4.-P.272−276.
- Frolov V.P., Markov M.A. and Muchanov V.F. Black Holes as Possible Sources of Closed and Semiclosed Worlds// Phys. Rev.D. 1990. V.41.-N.2.-P.383−394.
- Dymnikova I. Vacuum Nonsingular Black Hole// Gen.Rel. Grav. 1992. V.24.-Iss.3.-P.235−242.
- Burinskii A., Elizalde E., Hildebrandt S. and Magli G. Regular Sources for Rotating and Nonrotating Black Hole Solutions of the Kerr-Schild Class// Phys. Rev.D. 2002. V.65.-Iss.6, P.64 039 (1−15).
- Magli G. Physically Valid Black Hole Interior Models// Rept. Math. Phys. 1999. V.44.-N.3.-P.407−412.
- Глинер Э.Б. Алгебраические свойства тензора энергии-импульса и вакуумоподобные состояния вещества// ЖЭТФ. 1965, т.49.-Вып.8.-С.542−548.
- Сахаров А.Д. Начальная стадия расширения Вселенной и возникновение неоднородности распределения вещества// ЖЭТФ. 1965. Т.49. -Вып.7.-С.345−360.
- Зельдович Я.Б. и Новиков И.Д. Строение и эволюция вселенной. -Москва: Главная ред. физ-мат лит., 1975.
- Poison Е. and Israel W. Structure of the Black Hole Nucleusj] Class. Quantum Grav. 1988. V.5.-Iss. 12.-P.L201−205.
- Poisson E. and Israel W. Internal Structure Of Black Holesf/ Phys Rev.D. 1990. V.41.-N.6, P.1796−1809.
- Balbinot R. and Poisson E. Mass Inflation: The Semiclassical Regimej/ Phys. Rev. Lett. 1993. V.70.-N.1.-P.13−20.
- Dymnikova I. De Sitter-Schwarzschild Black Hole: Its Particlelike Core and Thermodynamical Properties!/ Int. Journ. Modern. Phys. D. 1996. V.5.-N.5, P.529−540.
- Dymnikova I. and Soltysek B. Spherically Symmetric Space-Time With Two Cosmological Constants// Gen. Rel. Grav. 1998. V.30.-N.12.-P.1775−1793.
- Mars M., Martin-Prats M.M. and Senovilla J.M.M. Models of regular Schwarzschild black holes satisfying weak energy conditions// Class. Quantum Grav. 1996. V.13.-N.5.-P.L51−58.
- Elizalde E. and Hildebrandt S. R. Regular quantum interiors for black holes// In: Proceedings of Ninth MG Meeting (Rome, July 2−8,2000) Part В (in press)/ Edited by V. Gurzadyan, R.T. Jantzen and R. Ruffini. -Singapore: World Scientific, 2002.
- Elizalde E. and Hildebrandt S. R. The Family of Regular Interiors for Non-rotating Black Holes with T§ = ТЩ Phys. Rev.D. 2002, v.65.-Iss. 12.-P.4024 (1−15).
- Borde A. Regular black holes and topology change// Phys. Rev.D. 1997. V.55. -Iss.l2.-P.7615−7617.
- Borde A. Open and closed universes, initial singularities, and inflation// Phys. Rev.D. 1994.-Iss.6. V.50.-P.3692−3702.
- Kepec X. К физической интерпретации решений уравнений Эйнштейна// ЖЭТФ. 1967.-Вып.З-С.768−779.
- Lopez С.А. Internal Structure of a Classical Spinning Electron// Gen. Relat. Grav. 1992. V.24.-N.3-P.285−296.
- Lopez C.A. Dynamics of Charged Bubbles in General Relativity and Models of Particles// Phys.Rev.D. 1988. V.38.-N.12.-P.3662−3666.
- Giirses M. and Giirsey F. Lorentz covariant treatment of the Kerr-Schild geometry// Journ. Math.Phys. 1975. V.16.-N.12.-P.2385−2390.
- Kinnersley W. Field of an Arbitrarily Accelerating Point Mass// Phys. Rev. 1969. V.186.-N.5.-P.1335−1336.
- Frolov V.P. Khlebnikov V. I Gravitational field of radiating systems: I. Twisting free type D metrics/ Preprint No.27. Lebedev Fiz. Institute. Akademia Nauk. -Moscow, 1975.
- Vaidya P.C. and Patel L.K. Radiating Kerr metric// Phys. Rev. D. 1973. V.7.-P.3590.
- Plebanski J.F. and Schild A. Complex Relativity and Double KS Metrics// In: Proceedings of the International Symposium on Mathematical Physics / Mexico, 5−8 January 1976. -P. 765−787. -Mexico City. 1976.
- Plebanski J.F. and Robinson I. Left-Degenerate Vacuum Metrics// Phys. Rev. Letters. 1976, v.37.-N.9.-P.493−495.
- Horowitz G. T. and Sen A. Rotating Black Holes which Saturate a Bogomol’nyi Bound// Phys. Rev. D. 1996. V. 53.-Iss. 2.-P.808−815.
- Wess J. and Bagger J. Supersymmetry and Supergravity / Princeton Series in Physics. -Princeton: New Jersey, 1983.
- Burinskii A. Supersymmetric superconducting bag and the core of a Kerr spinning particle// Grav. Cosmology. 2002. V.8.-N.4(32).-P.261−271.
- Burinskii A. Rotating Super Black Hole as Spinning Particle// In: Noncommutative Structures in Mathematics and Physics / Eds S. Duplij and J.Wess. Sub-Series II. 2001. V.22.-P.181−193. Kluwer Acad. Publishers, 2001.
- Vilenkin A. and Shellard E.P.S. Cosmic Strings and Other Topological Defects. -Cambrige: Cambrige University Press, 1994.
- Witten E. Superconducting strings// Nucl.Phys.B. 1985. V.249.-N.4-P.557−592.
- Witten E. Cosmic Superstrings// Phys. Lett. B. 1985. V.153.-N.4,5-P.243−256.
- Coleman S. Q balls// Nucl. Phys. B. 1985. V.262.-N.2.-P.263−283.
- Morris J.R. Supersymmetry and gauge invariance constraints in a U (l) X U (l)' Higgs superconducting cosmic string modelJ J Phys.Rev. D. 1996. V.53.-Iss. 4.-P.2078−2086.
- Cvetic M. and Soleng H. Supergravity domain walls/f Phys. Rept. 1997. V.282.-Iss. 4.-P.159−223.
- Mann R. and Morris M. Classical models for subatomic particles// Phys. Lett. A. 1993. V.181.-N.6.-P.443−445.
- Cook J. B. et al. Boosted Three-Dimensional Black Hole Envolutions with Singularity Excisi// Phys. Rev. Lett. 1998. V.80.-N.12, P.2512−2516.
- Aichelburg P.C. and Sexl R.U. On The Gravitational Field Of A Massless Particle// Gen. Rel. Grav. 1971. V.2.-N.4.-P.303−312.
- Ferrari V. and Pendenza P. Boosting the Kerr Metric// Gen. Rel. Grav. 1990. V.22.-N.10.-P.1105.
- Luosto C.O. and Sanchez N. Gravitational Shock Waves Generated By Extended Sources: Ultrarelativistic Cosmic Strings} Monopoles And Domain Walls// Nucl. Phys. B. 1991. V.355.-Iss. 1.-P.231−249.
- Luosto C.O. and Sanchez N. The Ultrarelativistic Limit Of The Boosted Kerr-Newman Geometry And The Scattering Of Spin ½ Particles// Nucl. Phys. B. 1992. V.383.-Iss. 1−2, P.377−394.
- Картан Э. Теория Спиноров. -M. ГИИЛ, 1947.
- Н. Balasin and Н. Nachbagauer. The Ultrarelativistic Kerr Geometry And Its Energy Momentum Tensor// Class. Quantum Grav. 1995. v.12.-Iss. 3.-P.707−713.
- H. Balasin and H. Nachbagauer. Boosting the Kerr geometry into an arbitrary direction// Class. Quantum Grav. 1996. V.13.-N.4.-P.731−737.
- Burinskii A. Casimir Energy and Vacua for Superconducting Ball in Supergravity// Intern. Journ. Mod. Phys.A. 2002. V.17,n.6−7, P.920−925.
- Morris M.S. and Thorne K.S. Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity// Am. Journ. Phys. 1988. V.56.-Iss. 5.-P.395−412.
- Nielsen H.B. and Olesen P. Vortex-line models for dual stringsjJ Nucl. Phys. B. 1973. V. 61.-P.45−61.
- Belavin A.A., Polyakov A.M. and Zamolodchikov A.B. Infinite conformal symmetry in two-dimensional quantum field theory/ j Nucl. Phys. B. 1984. V.241.-N.2.-P.333 380.
- Shaw W.T. An ambitwistor description of bosonic or supersymmetric minimal surfaces and strings// Class. Quant. Grav. 1986. V. 3.-N.5.-P.753−761.
- Hamidi S. and Vafa C. Interactions on orbifoldsff Nucl. Phys.B. 1987. V.279. -Iss. 3,4.-P.456 513.
- Ooguri H. and Vafa C. Geometry of N = 2 strings// Nucl. Phys. B. 1991. V.361.-Iss. 2.-P.469−518-
- N = 2 heterotic strings// ibid. 1991. V. 367.-N.1.-P.83−104.
- Veblen O. Geometry of two-component spinorsf/ Proc. Nat. Acad. Sci. USA. 1933, v.XIX.-P.462−474.
- Ruse H. On the geometry of Dirac’s equations and their expression in tensor form// Proc. Roy. Soc. of Edinburg. 1936/37. V.37.-P.97−127.
- Dixon L., Harvey J. A., Vafa C., Witten E. Strings on orbifoldsf/ Nucl. Phys. B. 1985. V.261.-Iss. 4.-P.678−686- String on orbifolds (II)// ibid. 1986. V.274.-Iss. 2.-P.285−314.
- Latorre J.I. and Liitken C.A. Constrained CPn model// Phys. Lett. B. 1989. V.222.-N.1.-P.55−60.
- Gates S.J., Jr., and Hiibsch T. Calabi-Yau heterotic strings and unidexterous a models// Nucl.Phys. B. 1990. V.343.-Iss. 3, P.741−774.
- Greene B.R., Vafa C. and Warner N.P. Calabi Yau manifolds and renormalization group flows// Nucl.Phys. B. 1989. V.324.-Iss. 2, P.371−390.
- Martinec E.J. Algebraic geometry and effective Lagrangians/ Phys. Lett. B. 1989. V.217.-N.4.-P.431−436.
- Candelas P. Green P. S. and Hiibsch T. Rolling among Calabi Yau vacua// Nucl.Phys. B. 1990. V.330.-Iss. 1.-P.49−102.
- Gepner D. Exactly solvable string compactifications on manifolds of SU (N) holonomy// Phys. Lett. B. 1987. V.199.-N.3.-P.380−387.
- Brooks R., Muhammad P. and Gates, Jr. S.J. Unidexterous D=2 supersymmetry in superspace// Nucl. Phys. B. 1986. V.268.-Iss.3,4. -P.599−620.
- Hull C.M. and Witten E. Supersymmetric sigma models and the heterotic string// Phys. Lett. B. 1985. V.160.-N.6. -P.398−402.
- Hull C.M. and Spence B. The (2,0) supersymmetric Wess Zumino — Witten model// Nucl. Phys. B. 1990. V.345. Iss.2−3, P.493−508.
- Gal’tsov D.V., Garcia A., Kechkin O.V. Abstracts of MG7. USA. -Stanford, 1994.
- A. Sen. Macroscopic charged heterotic string// Nucl. Phys. B. 1993. V.388.-N.2.-P.457−473.
- Shapere A., Trivedi S. and Wilczek F. Dual dilaton dyons// Mod. Phys. Lett. A. 1991. V.6.-N.29.-P.2677−2686.
- Sen A. Electric Magnetic Duality in String Theory// Nucl. Phys. B. 1993. V.404.-Iss.l-2.-P.109−126.
- Home J. H. and Horowitz G. T. Rotating Dilaton Black Holes// Phys. Rev. D. 1992. V.46.-Iss.4, P.1340−1936.
- Garfinkel D. Black String Traveling Waves// Phys. Rev. D. 1992. V.46.-N.10.-P.4286−4288.
- Dabholkar A., Gauntlett J., Harvey J. and Waldram D. Strings as Solitons & Black Holes as Strings// Nucl. Phys. B. 1996. V.474.-N.1.-P.85−121.
- Nojiri S. and Odintsov S.D. Curvature dependence of running gauge coupling and confinement in AdS/CFT correspondence! J Phys. Rev. D. 2000. V.61.-Iss. 4.-P.44 014 (1−12).
- Cordero P. and Teitelboim C. Remarks On Supersymmetric Black Holes// Phys. Lett, B. 1978. V.78.-N.1.-P.80−83.
- Tugai V. and ZheltikhinA. A Superfield generalization of the classical action at a distance theory//Phys.Rev. D. 1995. V.51.-N.8.-P.R3997−4000.
- Finkelstein R. and Kim J. Solutions of the Equations of Supergravity// Journ. Math. Phys. 1981. V.22.-N.10.-P.2228−2234.
- Aichelburg P.C. and Giiven R. Can Charged Black Holes Have A Superhair? // Phys.Rev. D. 1981. V.24.-N.8.-P.2066−2076.
- Aichelburg P.C. Identification of Trivial Solutions in Supergravity// Phys.Lett. B. 1980. V.91.-N.3,4.-P.382−383.
- Aichelburg P.C. and Urbantke H. Necessary and Sufficient Conditions for Trivial Solutions in Supergravity // Gen. Rel. Grav. 1981. V.13.-N.9-P.817−828.
- Dereli T. and Aichelburg P.C. Exact Plane Wave Solutions of 0(2) Extended Supergravity// Phys. Lett. B. 1979. V.80.-N.4,5.-P.357−359.
- Aichelburg P.C. and Giiven R. Remarks On The Linearized Superhair// Phys.Rev. D. 1983. V.27.-N.2.-P.456−459.
- Aichelburg P.C. and Giiven R. Supersymmetric Black Holes in N=2 Supergravity Theory// Phys. Rev. Lett. 1983. V.51.-N.18.-P.1613−1616.
- Knutt-Wehau M. E. and Mann R. Supergravity from a massive superpariicle and the simplest super black hole// Nucl.Phys. B. 1998. V.514.-N.l, 2.-P.355−378.
- Casalbuoni R. The Classical Mechanics for Bose-Fermi Systems// Nuovo Cim. A. 1976. V.33.-N.7.-P.389−431.
- Brink I. and Schwarz J. Quantum Superspacef/ Phys.Lett. B. 1981. V.100.-N.4.-P.310−312.
- Pashnev A. and Volkov D. On a supersymmetric Lagrangian for particles in proper time// Theor. Mat. Phys. 1980. V.44.-P.321−326.
- Березин Ф.А. и Маринов M.G. Классический Спин и Алгебра Грассмана// Письма в ЖЭТФ. 1975, т.21.-Вып.11.-С.678−680.
- Sorokin D.P., Tkach V.I., Volkov D.V. and Zheltukhin A.A. From the Superparticle Siegel Symmetry to the Spinning Particle Proper Time Super symmetry/ / Phys. Lett. B. 1989. V.216.-N.3,4.-P.302−306.
- Townsend R.K. Supergravity Solitons and Non-Perturbative Superstrings// Proc. of 1995 Trieste Spring Superstring School and Workshop. LANL e-print ArXive: hep-th/9 510 190, 1995.
- Березин Ф. А. Метод вторичного квантования. 2-е изд. -Москва: Наука, Главное изд. физ-мат лит., 1986.
- Dell J. and Smolin L. Graded Manifold Theory as the Geometry of Super symmetry// Commun. Math. Phys. 1979. V.66.-N.3.-P.197−221.
- Aichelburg P.C. Rarita-Schwinger Fields from Supercovariantly Constant SpinorsJ/ In: Proc. of the Fourth Hungarian Relativity Workshop / Edited by R.P. Kerr and Z. Perjes. -Budapest: Academiai Kiado, 1994.-P.69−73 .
- Einstein S. and Finkelstein R. Solutions of the Rarita-Schwinger Equation in the Kerr-Newman Space// Journ. Math. Phys. 1979. V.20.-N.9.-P.1972−1976.
- Baekler P., Giirses M., Hehl F.W. and McCrea J.D. The Exterior Gravitational Field of a Charged Spinning Source in the Poincare Gauge Theory: a Kerr-Newman Metric With Dynamic Torsion// Phys. Lett. A. 1988. V.128.-N.5.-P.245−250.
- Seiberg N. and Witten E. Electric magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory// Nucl.Phys. B. 1994. V.426.-Iss. 1.-P.19−52- ibid. 1994. V.430.-Iss. 2.-P.485−486(E).
- Antoniadis I., Partouche H. and Taylor T.R. Spontaneous Breaking of N=2 Global Super symmetry// Phys.Lett. B. 1996, v.372.-N.1−2.-P.83−87.
- Ferrara S., Girardello L. and Porrati M. Minimal Higgs Branch for the Breaking of Half of the Supersymmetries in N=2 Supergravity/f Phys. Lett. B. 1996. V.366.-N.1.-P.155−159.
- Bagger J. and Galperin A. A new Goldstone multiplet for partially broken super symmetry!/ Phys.Lett. B. 1994. V.336.-Iss. 1.-P.25−31.
- Ivanov E.A. and Zupnik B.N. Modified N = 2 Supersymmetry and Fayet-Iliopoulos Terms// Ядерная Физика. 1999, T.62.-C.1110−1122.
- Bardeen W. A., Chanowitz M. S., Drell S. D., Weinstein M. and Yan Т. M. Heavy Quarks and Strong Binding: A Field Theory of Hadron Structure/! Phys. Rev. D. 1975. V.11.-N.5.-P.1094−1136.
- Skagerstam B.S. and Stern A. Magnetic Superconductors and the Mit Bag Model// Zeitschrift Physik. C. Particles and Fields. 1980, v.5.-N.4.-P.347−450.
- Englert F. and Windey P. Dynamical and Topological Considerations on Quark Confinement// Phys. Rept. 1979. V.49.-N.2 P.173.
- Chodos A., Jaffe R. L., Johnson K., Thorn С. B. and Weisskopf V. F. A New Extended Model Of Hadrons// Phys. Rev. D. 1974. V.9.-N.12.-P.3471−3495.
- Macpherson A. L. and Campbell B.A. Biased Supersymmetry// Phys.Let. B. 1995. V.347.-N.3−4.-P.205−210.
- Morris J.R. and Bazeia D. Supersymmetry Breaking and Fermi Balls// Phys.Rev. D. 1996. V.54.-N.8.-P.5217−5222.
- Morris J.R. Cosmic strings in supergravity// Phys. Rev. D. 1997. V.56.-N.4.-P.2378−2383.
- Раджараман P. Солитоны и Инстантоны в Квантовой Теории Поля. Москва: Мир, 1985.
- Cvetic М., Griffies S. and Rey S.J. Static Domain Walls in N=1 Supergravity// Nucl. Phys. B. 1992. V.381.-P.301−328- ibid. Nonperturbative stability of supergravity and superstring vacua// Nucl. Phys. B. 1993. V.389.-P.3−24.
- Ipser J. and Sikivie P. The Gravitationally Repulsive Domain Wall// Phys.Rev. D. 1984. V.30.-Iss.4.-P.712−719.
- Богомольный Е.Б. Устойчивость Классических Решений}J Ядерная Физика. 1976.Т.24.-Вып.4.-С .861−870.
- Gibbons G.W. and Hull С.М. A Bogomolny Bound for General Relativity and Solitons in N=2 Supergravityf/ Phys. Lett. B. 1982. V.109.-N.3.-P.190−194.
- Burinskii A. Super Black Hole as Spinning Particle: Supersymmetric Baglike Core// In: Fundamental Problems of High Energy Physics and Field Theory /Ргос. of IHEP Workshop.-Protvino, 2001. -P.165−176.
- Dirac P.A.M., An Extensible Model Of The Electron// Proc. R. Soc. London A. 1962.-N.1332. V.268.-P. 57−67.
- Cohen J. M and Cohen M.D., Exact Fields of Charge and Mass Distributions in General Relativity// Nuovo Cimento. 1969. V.60.-N.2.-P.241−248.
- Ландау Л.Д. и Лифшиц E.M. Теория Поля. -Москва: Наука. Главная ред. физ-мат лит., 1967.
- Толмен Р. Относительность, Термодинамика и Космология. -Москва: Наука. Главное изд. физ-мат лит., 1974.
- Casimir H.B.G. Proc. Коп. Ned. Akad. Wetenschap. В. 1948. V.51-Р.793−796.
- Elizalde Е. The Physical Applications of Spectral Zeta Functions. -Berlin Heildeberg: Springer, 1995.
- Elizalde E., Odintsov S.D., Romeo A., Bytsenko A.A., and Zerbini S. Zeta Regularization Techniques with Applications. -Singapore: World Scientific, 1994.
- Hajicek P. On The Origin of Hawking RadiationJ/ Phys. Rev. D. 1987. V.36.-Iss. 4.-P.1065−1079.
- Visser M. Gravitational Vacuum Polarization// In: Proc. of the Eighth Marcel Grossmann Meeting on General Relativity. Part A./ Eds. T. Piran and R. Ruffini. -Singapore-New Jersey-London: World Scientific, 1999.-P.842−844.
- Nojiri S. and Odintsov S.D. Quantum dilatonic gravity in d = 2, 4 and 5 dimensions/J Int. Journ. Mod. Phys. A. 2001. V.16.-Iss. 19.-P.1015−1108.
- Papandopoulos P. and Font J. Relativistic Hydrodynamics around Black Holes and Horizon Adapted Coordinate Systems // Phys.Rev.D. 1998. V.58.-Iss.2.-P.24 005 (1−10).
- Burinskii A. Kerr Spinning Particle// Turkish Journal of Physics. 2000. V.24.-N.3.-P.263−275.
- Schild A. Fokker Action Principles with Self-Action.I. General Theory- Outline of a Program for Constructing Models of Elementary Particles// Ann. Phys. 1975. V. 93.-N.1−2.-P.88−115.
- Burinskii A. Dilatonic AdS-Kerr Solution to AdS/CFT correspondence// Phys. Rev. D. 2000. V.61.-Iss.l0.-P. 107 501 (1−3).
- Witten E. Anti-de Sitter space and holography// Adv. Theor. Math. Phys. 1998. V.2.-P. 253−291.
- Maldacena J. The Large N Limit of Superconformal Field Theories and Supergravityf/ Intern. Journ. Theor. Phys. 1999. V.2.-N.1.-P.1113−1133.
- Gubser S.S., Klebanov I.R. and Polyakov A.M. Gauge theory correlators from non-critical string theory// Phys. Lett. B. 1998. V.428.-Iss. 1−2.-P.105−114.
- Klebanov I.R. and Tseytlin A.A. Asymptotic freedom and infrared behaviour in the type 0 string approach to gauge theories// Nucl. Phys. B. 1999. V. 547.-Iss.l-2.-P.143−156.
- Minahan J.A. Glueball mass spectra and other issues for supergravity duals of QCD models// JHEP. 1999. V.9901.-Iss.020.-15p.- ibid. Asymptotic freedom and confinement from type 0 string theory// 1999. V.9904.-Iss.007.-20p.
- Ferretti G. and Martelli D. Non-critical Type 0 String Theories and their Field-Theory Duals// Adv. Theor. Math. Phys. 1999. V.3.-P.119−130- NucLPhys. B. 1999. V.555.-Iss.l-2.-P. 135−156.
- Alvarez E. and Gomez C. Non-critical confining strings and the renormalization group// Nucl. Phys. B. v.550, n. l-2.-P.169−182.
- Kehagias A. and Sfetsos K. On running couplings in gauge theories from type-IIB supergravity// Phys. Lett. B. 1999. V.454.-P.270−276.
- Kehagias A. and Sfetsos K. On asymptotic Freedom and Confinement// Phys.Lett. B. 1999. V.456.-Iss.l.-P.22−27.
- Nojiri S. and Odintsov S.D. Running gauge coupling and quark-antiquark potential from dilatonic gravity// Phys. Lett. B. 1999. V.458.-Iss.2−3.-P.226−230−204. Nojiri
- S. and Odintsov S.D. Two-boundaries AdS/CFT correspondence in dilatonic gravity// Phys. Lett. B. 1999. V.449.-Iss.l-2.-P.39−47.
- Nojiri S. and Odintsov S.D. Wilson loop and dS/CFT correspondence. Phys. Lett. B. 2002. V.528.-Iss.l-2.-P.169−174.
- Burinskii A. Non-trivial Supergeneralization of the Kerr-Newman Solution// Ann. Phys. (Leipzig). 2000. V. 9.- Spec.Iss.-P. 34−37.
- Gron O. Repulsive Gravitation and Electron Models// Phys. Rev. D. 1985. V. 31.-N.8.-P. 2129−2131.
- Burinskii A. and Hildebrandt S. New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics// Phys. Rev. D. 2002. V.65.-Iss.l0.-P.10 4017(l-7).
- Burinskii A. Kerr Spinning Particle and Superparticle Models// Lecture Notes in Physics. Springer. 1998. V. 509.-P.214−219.
- Burinskii A. Spinning Particle as Super Black Hole// Proceedings of the Eight Marsel Grossmann Meting on General Relativity. Jerusalem, 1. rael, 1997 / Ed. by T. Piran and R. Ruffini. Part A. -Singapore-New Jersy: World Scientific, 1998.-P.433−435.
- Burinskii A. Spinning Particle as a Non-trivial Supergeneralization of Kerr’s Black Holef / In: Frontiers of Fundamental Physics / Eds. B.G. Sidharth and A.Ya. Burinskii. -Hyderabad. Universities Press, 1998.-P.97−106.
- Burinskii A. Structure of Spinning Particle Suggested by Gravity, Supergravity and Low-energy String Theory J / Czhechoslovak Journ. of Phys. 2000. V.50, Suppl SI, Part 1.-P.201−206.
- Burinskii A. Non-trivial Rotating Super Black Hole to Broken N=2 Supergravity]J In: Supersymmetries and Quantum Symmetries. / Proc. of JINR Workshop (July, 1999). -Dubna, 2000.-P.48−53.
- Burinskii A. Super Black Hole as Spinning Particle: Supersymmetric Bag Model// Czech. Journ. of Phys. 2002. V.52, Suppl. C, Part II-P.471−478.
- Ayon-Beato E. and Garcia A. Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics// Phys. Rev. Lett. 1998. V.80.-N.2−3.-P.5056−5059.
- Ayon-Beato E. and Garcia A. New regular black hole solution from nonlinear electrodynamics// Phys. Lett. B. 1999. V.464 n. l-2.-P.25−29.
- Ayon-Beato E. and Garcia A. Nonsingular Charged Black Hole Solution For Nonlinear Source// Gen. Relat. & Grav. 1999. V. 31.-P.629−633.
- Bronnikov K. Regular magnetic black holes and monopoles from nonlinear electrodynamics// Phys. Rev. D. 2001. V. 63.-Iss.4.-P.4 4005(l-6).
- Novello M., Perez Bergliaffa S.E. and Salim J.M. Singularities in General Relativity coupled to nonlinear electrodynamics (f Class. Quantum Grav. 2000. V.17.-Iss.l2.-P.3821−3831.
- Baldovin P., Novello M., Perez Bergliaffa S.E. and Salim J.M. A nongravitational wormholejJ Clas. Quantum Grav. 2000. V.17.-Iss.l5.-P.3265−3275.
- Novello M., de Lorenci V.A., Salim J.M. and Klippert R. Geometrical aspects of light propagation in nonlinear electrodynamics J / Phys. Rev. D. 2000. V. 61.-Iss.4.-P.45 001 (1−10).
- Dirac P.A.M. The Theory of Magnetic Poles// Phys. Rev. 1948. V. 74.-N.7.-P.817−830.
- Chernodub M. N. Classical string solutions in effective infrared theory of SU (3) gluodynamics// Phys. Lett. B. 2000. V.474.-Iss. 1−2.-P.73−78.
- Maedan S. and Suzuki T. An Infrared Effective Theory of Quark Confinement Based on Monopole Condensation// Progr. Theor. Phys. 1989. V. 81.-Iss. 1 .-P.229−240.
- Kondo K.-I. Abelian-projected effective gauge theory of QCD with asymptotic freedom and quark confinement// Phys. Rev. D. 1998. V. 57.-Iss. 12.-P. 7467−7487.
- Salazar H., Garcia A. and Plebanski J. Duality Rotations And Type D Solutions To Einstein Equations With Nonlinear Electromagnetic Sources// Journ. Math. Phys. 1987. V. 28.-N.9.-P.2171−2181.
- Ландау Л.Д. и Лифшиц E.M. Электродинамика сплошных сред. -М.: Гос. изд. физ-мат. лит., 1959.
- Gibbons G.W. and Rasheed D.A. SL (2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton// Phys. Lett. B. 1996. V.365.-Iss. 1−4.-P.46−50.
- Gibbons G.W. and Rasheed D.A. Electric magnetic duality rotations in nonlinear electrodynamics// Nucl. Phys. B. 1995. V. 454.-Iss.l.-P.185−206.
- Burinskii A. Ya. and Hildebrandt S.R. A New Type of Particlelike Solutions Based on Regular Black HoleJ J Grav. Cosmology. 2003. V.9.-N.1(33) (в печати).
- Gibbons G.W. and Herdeiro C.A.R. The Melvin Universe in Born-Infeld Theory and other Theories of Non-Linear Electrodynamics// Class. Quantum Grav. 2001. V.18.-Iss. 9.-P.1677−1690.
- Hoffmann B. and Infeld L. On the Choice of the Action Function in the New Field Theory// Phys. Rev. 1937. V. 51.-P.765−773.
- Gibbons G.W. and Wiltshire D.L. Spacetime as a Membrane in Higher Dimensions// Nucl. Phys.B. 1987. V. 287.-Iss. 4.-P.717−742.
- Tseitlin A.A. Bom-Infeld Action, Supersymmetry and String Theory// LANL e-print Ancive: hep-th/9 908 105, 1999.