Abstract
The spherically symmetric vacuum stress-energy tensor with one assumption concerning its specific form generates the exact analytic solution of the Einstein equations which for larger coincides with the Schwarzschild solution, for smallr behaves like the de Sitter solution and describes a spherically symmetric black hole singularity free everywhere.
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References
de Sitter, W. (1917).Mon. Not. R. Astr. Soc. 78, 3.
Gliner, E. B. (1966).Sov. Phys. JETP 22, 378.
Zeldovich, Ya. B. (1968).Sov. Phys. Uspekhi 95, 208.
Lightman, A. P., Press, W. H., Price, R. H. and Teukolsky S. A. (1975).Problem Book in Relativity and Gravitation (Princeton University Press, Princeton).
Linde, A. D. (1990).Particle Physics and Inflationary Cosmology (Harwood Academic Press, Geneva).
Landau, L. D., and Lifshitz, E. M. (1975).Classical Theory of Fields (Pergamon Press, Oxford).
Petrov, A. Z. (1969).Einstein Spaces (Pergamon Press, Oxford).
Schwarzschild, K. (1916).Sitz. Preuss. Akad. Wiss. 189.
Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973).Gravitation (W. H. Freeman, San Francisco).
Zeldovich, Ya. B., and Novikov, I. D. (1983).The Structure and Evolution of the Universe (Chicago University Press, Chicago).
Chandrasekhar, S. (1983).The Mathematical Theory of Black Holes (Clarendon Press, Oxford).
Hawking, S. W., and Penrose, R. (1969)Proc. Roy. Soc. Land. A314, 529.
Hawking, S. W., and Ellis, G. F. R. (1973).The Large Scale Structure of Space-time (Cambridge University Press, Cambridge).
Gliner, E. B. (1970).Sov. Phys. Doklady 15, 559.
Tolman, R. C. (1969).Relativity, Thermodynamics and Cosmology (Clarendon Press, Oxford).
Starobinsky, A. A. (1980).Phys. Lett. B91, 99.
Markov, M. A. (1982).JETP Lett. 36, 265;id. (1984).Ann. Phys. 155, 333.
Bernstein, M. R. (1984).Bull. Amer. Phys. Soc. 16, 1016.
Poisson, E., and Israel, W. (1988).Class. Quant. Grav. 5, L201.
Frolov, V. P., Markov, M. A., and Mukhanov, V. F. (1990).Phys. Rev. D 41, 383.
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This essay received the fifth award from the Gravity Research Foundation, 1991
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Dymnikova, I. Vacuum nonsingular black hole. Gen Relat Gravit 24, 235–242 (1992). https://doi.org/10.1007/BF00760226
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DOI: https://doi.org/10.1007/BF00760226