Strong cosmic censorship: taking the rough with the smooth
Journal of High Energy Physics
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Dias, O., Reall, H., & Pinto Da Silva e Conceicao Santos, J. (2018). Strong cosmic censorship: taking the rough with the smooth. Journal of High Energy Physics, 2018 (10)https://doi.org/10.1007/JHEP10(2018)001
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.
OJCD is supported by the STFC Ernest Rutherford Grants No. ST/K005391/1 and No. ST/M004147/1, and by the STFC \Particle Physics Grants Panel (PPGP) 2016" Grant No. ST/P000711/1. HSR and JES were supported in part by STFC Grants No. PHY-1504541 and ST/P000681/1.
External DOI: https://doi.org/10.1007/JHEP10(2018)001
This record's URL: https://www.repository.cam.ac.uk/handle/1810/286241
Attribution 4.0 International
Licence URL: https://creativecommons.org/licenses/by/4.0/