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Inner-horizon instability and mass inflation in black holes
Phys. Rev. Lett. 63, 1663 – Published 16 October, 1989
DOI: https://doi.org/10.1103/PhysRevLett.63.1663
Abstract
Gravitational collapse with rotation leaves a slowly decaying radiative tail which becomes infinitely blueshifted at the inner horizon of the resulting black hole. We study the gravitational effects of this on the inner structure of the hole, using a simple spherical model. In the presence of outflow from the collapsing star, the gravitational-mass parameter and the curvature are inflated at and within the inner horizon to values which, classically, are unlimited. Implications of this result are briefly discussed.
References (11)
- Recent reviews of black hole theory with copious references are M. S. Morris and K. S. Thorne, Am. J. Phys. 56, 395 (1988); W. Israel, Sci. Prog. (Oxford) 68, 333 (1983).
- R. Penrose, in Battlle Rencontres, edited by C. M. De Witt and J. A. Wheeler (Benjamin, New York, 1968), p. 222; M. Simpson and R. Penrose, Int. J. Theor. Phys. 7, 183 (1973).
- E.g., R. A. Matzner, N. Zamorano and V. D. Sandberg, Phys. Rev. D 19, 2821 (1979), and references cited therein and in Ref. 1.
- R. A. Isaacson, Phys. Rev. 166, 1263 (1968).
- Compare V. A. Berezin, V. A. Kuzmin and I. I. Tkachev, Phys. Rev. D 36, 2919 (1987), Appendix A.
- Although mere mathematical fictions, sectors like I in the analytic extension of the exterior manifold are conceptually useful for clarifying paradoxical features of the internal physics of the hole; for example, how radiation flowing out of the star can cause the gravitational mass to grow between the two horizons, even though the star is losing mass.
- E.g., B. T. Sullivan and W. Israel, Phys. Lett. 79A, 371 (1980).
- M. R. Bernstein, Bull. Am. Phys. Soc. 16, 1016 (1984); V. Frolov, M. A. Markov and V. F. Mukhanov, Phys. Lett. B 216, 272 (1989); International Centre for Theoretićal Physics Report No. IC/88/91, 1988 (unpublished); E. Poisson and W. Israel, Classical Quantum Gravity 5, L201 (1988).
- I. H. Redmount, Prog. Theor. Phys. 73, 1401 (1985); T. Dray and G. 't Hooft, Commun. Math. Phys. 99, 613 (1985).
- S. K. Blau, Phys. Rev. D 39, 2901 (1989).
- D. M. Eardley, Phys. Rev. Lett. 33, 442 (1974).