- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Black holes as possible sources of closed and semiclosed worlds

V. P. Frolov

M. A. Markov

V. F. Mukhanov

  • Instituto de Astronomia y Fisica del Espacio, Buenos Aires, Argentina
  • P.N. Lebedev Physical Institute, Moscow, Union of Soviet Socialist Republics

  • Institute for Nuclear Research and P.N. Lebedev Physical Institute, Moscow, Union of Soviet Socialist Republics

  • Institute for Nuclear Research, Moscow, Union of Soviet Socialist Republics

PDF

Phys. Rev. D 41, 383 – Published 15 January, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.383

Abstract

The internal structure of spacetime inside a black hole is investigated on the assumption that some limiting curvature exists. It is shown that the Schwarzschild metric inside the black hole can be attached to the de Sitter one at some spacelike junction surface which may represent a short transition layer. The method of massive thin shells by Israel is used to obtain the characteristics of this layer. It is shown that instead of the singularity the closed world can be formed inside the black hole. It is argued that this property of our model may also be valid in a more general case provided the gravitation theory is asymptotically free and the limiting curvature exists. After passing the deflation stage the closed world in the black-hole interior may begin to inflate and give rise to a new macroscopic universe. The described model may be considered as an example of the creation of a closed or semiclosed world "in the laboratory." The possible fate of the evaporating black hole is also briefly discussed.

View figure in article

References (22)

  1. R. Penrose, in Battelle Rencontres, edited by C. M. DeWitt and J. A. Wheeler (Benjamin, New York, 1968)
  2. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge, England, 1973)
  3. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973)
  4. J. A. Wheeler, Geometrodynamics (Academic, New York, 1962) J. B. Hartle, Phys. Rev. D 38, 2985 (1988)
  5. M. A. Markov, Pis'ma Zh. Eksp. Teor. Fiz. 36, 214 (1982) [JETP Lett. 36, 265 (1982)] M. A. Markov, Ann. Phys. (N.Y.) 155, 333 (1984) E. G. Aman and M. A. Markov, Teor. Mat. Fiz. 58, 97 (1984) M. A. Markov and V. F. Mukhanov, Nuovo Cimento 86B, 163 (1985) M. A. Markov, in Quantum Gravity, proceedings of the Third Seminar, Moscow, USSR, 1984, edited by V. A. Berezin, V. P. Frolov, and M. A. Markov (World Scientific, Singapore, 1985)
  6. V. P. Frolov, M. A. Markov, and V. F. Mukhanov, Phys. Lett. B 216, 272 (1989)
  7. Ya. B. Zeldovich and I. D. Novikov, The Structure and Evolution of the Universe (Chicago University Press, Chicago, 1983), Vol. 2 B. L. Hu and L. Parker, Phys. Rev. D 17, 3292 (1978) J. B. Hartle and B. L. Hu, ibid. 20, 1772 (1979) ibid.21, 2756 (1980) B. L. Hu, in Lectures given at the 11th Course of the International School on Cosmology and Gravitation, Quantum Mechanics in Curved Spacetime, Erice, Italy, 1989 (unpublished)
  8. E. Poisson and W. Israel, Class. Quantum Grav. 5, L201 (1988)
  9. E. Farhi and A. H. Guth, Phys. Lett. B 183, 149 (1987)
  10. W. Israel, Nuovo Cimento 44B, 1 (1966) ibid.48B, 463 (1967)
  11. V. A. Berezin, V. A. Kuzmin, and I. I. Tkachev, Phys. Rev. D 23, 2919 (1987)
  12. T. A. Roman and P. G. Bergmann, Phys. Rev. D 28, 1265 (1983)
  13. Y. Gursel, V. D. Sandberg, I. D. Novikov, and A. A. Starobinsky, Phys. Rev. D 19, 413 (1979) ibid.120, 1260 (1979) S. Chandrasekhar and J. B. Hartle, Proc. R. Soc. London A384, 301 (1982) I. D. Novikov and A. A. Starobinsky, Zh. Eksp. Teor. Fiz. 78, 3 (1980) [Sov. Phys. JETP 51, 1 (1980)]
  14. I. D. Novikov and V. P. Frolov, Black Holes Physics (Moscow, Nauka, 1986) I. D. NovikovV. P. FrolovBlack Holes PhysicsEnglish edition published by Reidel, Holland, 1989
  15. E. S. Fradkin and G. A. Vilkovisky, Phys. Lett. 78B, 262 (1978) V. P. Frolov and G. A. Vilkovisky, in Proceedings of the Second Marcel Grossmann Meeting on the Recent Developments of General Relativity, Trieste, Italy, 1979, edited by R. Ruffini (North-Holland, Amsterdam, 1982), p. 455 Phys. Lett. 106B, 307 (1981) E. Tomboulis, ibid. 97B, 77 (1980) B. Hasslacher and E. Mottola, ibid. 99B, 221 (1981) E. S. Fradkin and A. A. Tseytlin, ibid. 104B, 377 (1981)
  16. P. C. Vaidya, Phys. Rev. 83, 10 (1951) Proc. Ind. Acad. Sci. A33, 264 (1951) R. W. Lindquist, R. A. Schwarz, and C. W. Misner, Phys. Rev. 137, 1364 (1965)
  17. I. V. Volovich, V. A. Zagrebnov, and V. P. Frolov, Teor. Mat. Fiz. 29, 191 (1976) R. Nityananda and R. Narayan, Phys. Lett. 82A, 1 (1981) W. A. Hiscock, Phys. Rev. D 23, 2813 (1981) P. Hajicek, ibid. 36, 1065 (1987)
  18. M. A. Markov, Suppl. Progr. Theor. Phys. 85 (1965)
  19. S. W. Hawking, Mon. Not. R. Astron. Soc. 152, 75 (1971)
  20. A. D. Linde, Phys. Lett. 108B, 389 (1982) ibid.129B, 177 (1983) A. A. Starobinsky, ibid. 91B, 99 (1980) V. F. Mukhanov and G. V. Chibisov, Pis'ma Zh. Eksp. Teor. Fiz. 33, 549 (1981) [JETP Lett. 33, 532 (1981)] V. F. MukhanovG. V. ChibisovZh. Eksp. Teor. Fiz. 83, 475 (1982) [Sov. Phys. JETP 56, 258 (1982)]
  21. C. J. Clarke and T. Dray, Class. Quantum Grav. 4, 265 (1987)
  22. V. P. Frolov, Zh. Eksp. Teor. Phys. 66, 813 (1974) [Sov. Phys. JETP 39, 393 (1974)]

Outline

Information

Phys. Rev. D 41, 383– Published 15 January, 1990
  • Received 9 February 1989

© 1990 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation