Higher derivative contributions to black hole thermodynamics at NNLO
Abstract In an effective theory of gravity, thermodynamic quantities of black holes receive corrections from the infinite series of higher derivative terms. At the next to leading order, these can be obtained by using only the leading order solution. In this paper, we push forward this property to t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2023)087 |
| _version_ | 1797675854348681216 |
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| author | Liang Ma Yi Pang H. Lü |
| author_facet | Liang Ma Yi Pang H. Lü |
| author_sort | Liang Ma |
| collection | DOAJ |
| description | Abstract In an effective theory of gravity, thermodynamic quantities of black holes receive corrections from the infinite series of higher derivative terms. At the next to leading order, these can be obtained by using only the leading order solution. In this paper, we push forward this property to the next to next to leading order. We propose a formula which yields the Euclidean action of asymptotically flat black holes at the next to next to leading order using only the solution up to and including the next to leading order. Other conserved quantities are derived from the Euclidean action via standard thermodynamic relation. We verify our formula in examples of D-dimensional pure gravity and Einstein-Maxwell theory extended by 4- and 6-derivative terms. Based on our formula, we also prove that for asymptotically flat black holes, the physical quantities are invariant under field redefinitions. |
| first_indexed | 2024-03-11T22:19:39Z |
| format | Article |
| id | doaj.art-276ae382d15c448f88574974db481a6f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T22:19:39Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-276ae382d15c448f88574974db481a6f2023-09-24T11:06:22ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023613910.1007/JHEP06(2023)087Higher derivative contributions to black hole thermodynamics at NNLOLiang Ma0Yi Pang1H. Lü2Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin UniversityCenter for Joint Quantum Studies and Department of Physics, School of Science, Tianjin UniversityCenter for Joint Quantum Studies and Department of Physics, School of Science, Tianjin UniversityAbstract In an effective theory of gravity, thermodynamic quantities of black holes receive corrections from the infinite series of higher derivative terms. At the next to leading order, these can be obtained by using only the leading order solution. In this paper, we push forward this property to the next to next to leading order. We propose a formula which yields the Euclidean action of asymptotically flat black holes at the next to next to leading order using only the solution up to and including the next to leading order. Other conserved quantities are derived from the Euclidean action via standard thermodynamic relation. We verify our formula in examples of D-dimensional pure gravity and Einstein-Maxwell theory extended by 4- and 6-derivative terms. Based on our formula, we also prove that for asymptotically flat black holes, the physical quantities are invariant under field redefinitions.https://doi.org/10.1007/JHEP06(2023)087Black HolesClassical Theories of Gravity |
| spellingShingle | Liang Ma Yi Pang H. Lü Higher derivative contributions to black hole thermodynamics at NNLO Journal of High Energy Physics Black Holes Classical Theories of Gravity |
| title | Higher derivative contributions to black hole thermodynamics at NNLO |
| title_full | Higher derivative contributions to black hole thermodynamics at NNLO |
| title_fullStr | Higher derivative contributions to black hole thermodynamics at NNLO |
| title_full_unstemmed | Higher derivative contributions to black hole thermodynamics at NNLO |
| title_short | Higher derivative contributions to black hole thermodynamics at NNLO |
| title_sort | higher derivative contributions to black hole thermodynamics at nnlo |
| topic | Black Holes Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP06(2023)087 |
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