The extremal Kerr entropy in higher-derivative gravities
Abstract We investigate higher derivative corrections to the extremal Kerr black hole in the context of heterotic string theory with α′ corrections and of a cubic-curvature extension of general relativity. By analyzing the near-horizon extremal geometry of these black holes, we are able to compute t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2023)219 |
| _version_ | 1797736505008979968 |
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| author | Pablo A. Cano Marina David |
| author_facet | Pablo A. Cano Marina David |
| author_sort | Pablo A. Cano |
| collection | DOAJ |
| description | Abstract We investigate higher derivative corrections to the extremal Kerr black hole in the context of heterotic string theory with α′ corrections and of a cubic-curvature extension of general relativity. By analyzing the near-horizon extremal geometry of these black holes, we are able to compute the Iyer-Wald entropy as well as the angular momentum via generalized Komar integrals. In the case of the stringy corrections, we obtain the physically relevant relation S(J) at order α′2. On the other hand, the cubic theories, which are chosen as Einsteinian cubic gravity plus a new odd-parity density with analogous features, possess special integrability properties that enable us to obtain exact results in the higher-derivative couplings. This allows us to find the relation S(J) at arbitrary orders in the couplings and even to study it in a non-perturbative way. We also extend our analysis to the case of the extremal Kerr-(A)dS black hole. |
| first_indexed | 2024-03-12T13:13:47Z |
| format | Article |
| id | doaj.art-c057b18621334d2c8ee040ce08d720ca |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T13:13:47Z |
| publishDate | 2023-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c057b18621334d2c8ee040ce08d720ca2023-08-27T11:06:15ZengSpringerOpenJournal of High Energy Physics1029-84792023-05-012023514010.1007/JHEP05(2023)219The extremal Kerr entropy in higher-derivative gravitiesPablo A. Cano0Marina David1Instituut voor Theoretische Fysica, KU LeuvenInstituut voor Theoretische Fysica, KU LeuvenAbstract We investigate higher derivative corrections to the extremal Kerr black hole in the context of heterotic string theory with α′ corrections and of a cubic-curvature extension of general relativity. By analyzing the near-horizon extremal geometry of these black holes, we are able to compute the Iyer-Wald entropy as well as the angular momentum via generalized Komar integrals. In the case of the stringy corrections, we obtain the physically relevant relation S(J) at order α′2. On the other hand, the cubic theories, which are chosen as Einsteinian cubic gravity plus a new odd-parity density with analogous features, possess special integrability properties that enable us to obtain exact results in the higher-derivative couplings. This allows us to find the relation S(J) at arbitrary orders in the couplings and even to study it in a non-perturbative way. We also extend our analysis to the case of the extremal Kerr-(A)dS black hole.https://doi.org/10.1007/JHEP05(2023)219Black HolesClassical Theories of GravityBlack Holes in String Theory |
| spellingShingle | Pablo A. Cano Marina David The extremal Kerr entropy in higher-derivative gravities Journal of High Energy Physics Black Holes Classical Theories of Gravity Black Holes in String Theory |
| title | The extremal Kerr entropy in higher-derivative gravities |
| title_full | The extremal Kerr entropy in higher-derivative gravities |
| title_fullStr | The extremal Kerr entropy in higher-derivative gravities |
| title_full_unstemmed | The extremal Kerr entropy in higher-derivative gravities |
| title_short | The extremal Kerr entropy in higher-derivative gravities |
| title_sort | extremal kerr entropy in higher derivative gravities |
| topic | Black Holes Classical Theories of Gravity Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP05(2023)219 |
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