Strong cosmic censorship: taking the rough with the smooth
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 conti...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2018)001 |
| _version_ | 1818939961133498368 |
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| author | Oscar J. C. Dias Harvey S. Reall Jorge E. Santos |
| author_facet | Oscar J. C. Dias Harvey S. Reall Jorge E. Santos |
| author_sort | Oscar J. C. Dias |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T06:32:03Z |
| format | Article |
| id | doaj.art-cf92465534124add9ad17155f2a56d6d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T06:32:03Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-cf92465534124add9ad17155f2a56d6d2022-12-21T19:50:07ZengSpringerOpenJournal of High Energy Physics1029-84792018-10-0120181015410.1007/JHEP10(2018)001Strong cosmic censorship: taking the rough with the smoothOscar J. C. Dias0Harvey S. Reall1Jorge E. Santos2STAG research centre and Mathematical Sciences, University of SouthamptonDepartment of Applied Mathematics and Theoretical Physics, University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, University of CambridgeAbstract 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.http://link.springer.com/article/10.1007/JHEP10(2018)001Black HolesClassical Theories of Gravity |
| spellingShingle | Oscar J. C. Dias Harvey S. Reall Jorge E. Santos Strong cosmic censorship: taking the rough with the smooth Journal of High Energy Physics Black Holes Classical Theories of Gravity |
| title | Strong cosmic censorship: taking the rough with the smooth |
| title_full | Strong cosmic censorship: taking the rough with the smooth |
| title_fullStr | Strong cosmic censorship: taking the rough with the smooth |
| title_full_unstemmed | Strong cosmic censorship: taking the rough with the smooth |
| title_short | Strong cosmic censorship: taking the rough with the smooth |
| title_sort | strong cosmic censorship taking the rough with the smooth |
| topic | Black Holes Classical Theories of Gravity |
| url | http://link.springer.com/article/10.1007/JHEP10(2018)001 |
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