Author:
Dias Oscar J. C.,Reall Harvey S.,Santos Jorge E.
Abstract
Abstract
It has been argued that the strong cosmic censorship conjecture is violated by Reissner-Nordström-de Sitter black holes: for near-extremal black holes, generic scalar field perturbations arising from smooth initial data have finite energy at the Cauchy horizon even though they are not continuously differentiable there. In this paper, we consider the analogous problem for coupled gravitational and electromagnetic perturbations. We find that such perturbations exhibit a much worse violation of strong cosmic censorship: for a sufficiently large near-extremal black hole, perturbations arising from smooth initial data can be extended through the Cauchy horizon in an arbitrarily smooth way. This is in apparent contradiction with an old argument in favour of strong cosmic censorship. We resolve this contradiction by showing that this old argument is valid only for initial data that is not smooth. This is in agreement with the recent proposal that, to recover strong cosmic censorship, one must allow rough initial data.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference52 articles.
1. R. Penrose, Singularities of spacetime, in Theoretical principles in astrophysics and relativity W.R.N.R. Liebowitz and P.O.Vandervoort eds., Chicago University Press (1978), pp. 217-243.
2. M. Simpson and R. Penrose, Internal instability in a Reissner-Nordstrom black hole, Int. J. Theor. Phys.
7 (1973) 183 [INSPIRE].
3. J. McNamara, Instability of black hole inner horizons, Proc. Roy. Soc. Lond.
A 358 (1978) 499.
4. S. Chandrasekhar and J.B. Hartle, On crossing the cauchy horizon of a Reissner-Nordström black-hole, Proc. Roy. Soc. Lond.
A 384 (1982) 301.
5. E. Poisson and W. Israel, Internal structure of black holes, Phys. Rev.
D 41 (1990) 1796 [INSPIRE].
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