Quantum gravitational corrections to the entropy of a Reissner–Nordström black hole
Abstract Starting from an effective action for quantum gravity, we calculate the quantum gravitational corrections to the Wald entropy of a four dimensional non-extremal Reissner–Nordström (RN) black hole in the limit of small electric charge, generalising a previous calculation carried out by Calme...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10232-0 |
| _version_ | 1797806492279111680 |
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| author | Ruben Campos Delgado |
| author_facet | Ruben Campos Delgado |
| author_sort | Ruben Campos Delgado |
| collection | DOAJ |
| description | Abstract Starting from an effective action for quantum gravity, we calculate the quantum gravitational corrections to the Wald entropy of a four dimensional non-extremal Reissner–Nordström (RN) black hole in the limit of small electric charge, generalising a previous calculation carried out by Calmet and Kuipers (Phys Rev D 104(6):066012, 2021) for a Schwarzschild black hole. We show that, at second order in the Ricci curvature, the RN metric receives quantum corrections which shift the classical position of the event horizon. We apply the Wald entropy formula by integrating over the perimeter of the quantum corrected event horizon. We then compute the quantum gravitational corrections to the temperature and the pressure of the black hole. |
| first_indexed | 2024-03-13T06:08:09Z |
| format | Article |
| id | doaj.art-2cb879c388c8403399938477ca315594 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-03-13T06:08:09Z |
| publishDate | 2022-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-2cb879c388c8403399938477ca3155942023-06-11T11:23:39ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522022-03-018231810.1140/epjc/s10052-022-10232-0Quantum gravitational corrections to the entropy of a Reissner–Nordström black holeRuben Campos Delgado0Bethe Center for Theoretical Physics, Physikalisches Institut der Universität BonnAbstract Starting from an effective action for quantum gravity, we calculate the quantum gravitational corrections to the Wald entropy of a four dimensional non-extremal Reissner–Nordström (RN) black hole in the limit of small electric charge, generalising a previous calculation carried out by Calmet and Kuipers (Phys Rev D 104(6):066012, 2021) for a Schwarzschild black hole. We show that, at second order in the Ricci curvature, the RN metric receives quantum corrections which shift the classical position of the event horizon. We apply the Wald entropy formula by integrating over the perimeter of the quantum corrected event horizon. We then compute the quantum gravitational corrections to the temperature and the pressure of the black hole.https://doi.org/10.1140/epjc/s10052-022-10232-0 |
| spellingShingle | Ruben Campos Delgado Quantum gravitational corrections to the entropy of a Reissner–Nordström black hole European Physical Journal C: Particles and Fields |
| title | Quantum gravitational corrections to the entropy of a Reissner–Nordström black hole |
| title_full | Quantum gravitational corrections to the entropy of a Reissner–Nordström black hole |
| title_fullStr | Quantum gravitational corrections to the entropy of a Reissner–Nordström black hole |
| title_full_unstemmed | Quantum gravitational corrections to the entropy of a Reissner–Nordström black hole |
| title_short | Quantum gravitational corrections to the entropy of a Reissner–Nordström black hole |
| title_sort | quantum gravitational corrections to the entropy of a reissner nordstrom black hole |
| url | https://doi.org/10.1140/epjc/s10052-022-10232-0 |
| work_keys_str_mv | AT rubencamposdelgado quantumgravitationalcorrectionstotheentropyofareissnernordstromblackhole |