The second law of black hole mechanics in effective field theory
Abstract We investigate the second law of black hole mechanics in gravitational theories with higher derivative terms in the action. Wall has described a method for defining an entropy that satisfies the second law to linear order in perturbations around a stationary black hole. We show that this ca...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2022)258 |
| _version_ | 1818082417509924864 |
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| author | Stefan Hollands Áron D. Kovács Harvey S. Reall |
| author_facet | Stefan Hollands Áron D. Kovács Harvey S. Reall |
| author_sort | Stefan Hollands |
| collection | DOAJ |
| description | Abstract We investigate the second law of black hole mechanics in gravitational theories with higher derivative terms in the action. Wall has described a method for defining an entropy that satisfies the second law to linear order in perturbations around a stationary black hole. We show that this can be extended to define an entropy that satisfies the second law to quadratic order in perturbations, provided that one treats the higher derivative terms in the sense of effective field theory. We also address some outstanding issues with Wall’s method, in particular its gauge invariance and its relation to the Iyer-Wald entropy. |
| first_indexed | 2024-12-10T19:21:46Z |
| format | Article |
| id | doaj.art-2a8f7c9b6dd8470d92709d0774856568 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T19:21:46Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2a8f7c9b6dd8470d92709d07748565682022-12-22T01:36:27ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022816310.1007/JHEP08(2022)258The second law of black hole mechanics in effective field theoryStefan Hollands0Áron D. Kovács1Harvey S. Reall2Institute for Theoretical Physics, Leipzig UniversitySISSA and INFN Sezione di TriesteDepartment of Applied Mathematics and Theoretical Physics, University of CambridgeAbstract We investigate the second law of black hole mechanics in gravitational theories with higher derivative terms in the action. Wall has described a method for defining an entropy that satisfies the second law to linear order in perturbations around a stationary black hole. We show that this can be extended to define an entropy that satisfies the second law to quadratic order in perturbations, provided that one treats the higher derivative terms in the sense of effective field theory. We also address some outstanding issues with Wall’s method, in particular its gauge invariance and its relation to the Iyer-Wald entropy.https://doi.org/10.1007/JHEP08(2022)258Black HolesClassical Theories of GravityEffective Field TheoriesGauge Symmetry |
| spellingShingle | Stefan Hollands Áron D. Kovács Harvey S. Reall The second law of black hole mechanics in effective field theory Journal of High Energy Physics Black Holes Classical Theories of Gravity Effective Field Theories Gauge Symmetry |
| title | The second law of black hole mechanics in effective field theory |
| title_full | The second law of black hole mechanics in effective field theory |
| title_fullStr | The second law of black hole mechanics in effective field theory |
| title_full_unstemmed | The second law of black hole mechanics in effective field theory |
| title_short | The second law of black hole mechanics in effective field theory |
| title_sort | second law of black hole mechanics in effective field theory |
| topic | Black Holes Classical Theories of Gravity Effective Field Theories Gauge Symmetry |
| url | https://doi.org/10.1007/JHEP08(2022)258 |
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