Explicit black hole thermodynamics in natural variables
Abstract We consider the general thermal asymptotically flat Kerr-Newman black holes in 4d Einstein-Maxwell theory. Even though their thermodynamics has been understood for decades, the Gibbs free energy and on-shell action are only known implicitly as functions of the standard chemical potentials....
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2023)003 |
| _version_ | 1827781269609512960 |
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| author | Kiril Hristov |
| author_facet | Kiril Hristov |
| author_sort | Kiril Hristov |
| collection | DOAJ |
| description | Abstract We consider the general thermal asymptotically flat Kerr-Newman black holes in 4d Einstein-Maxwell theory. Even though their thermodynamics has been understood for decades, the Gibbs free energy and on-shell action are only known implicitly as functions of the standard chemical potentials. Using the so-called left and right moving (or holomorphic and anti-holomorphic) variables related to the chemical potentials on both the outer and the inner horizons, we are able to present explicit and very simple expressions for all quantities. We discuss various limits in the parameter space, remarkably finding a smooth BPS limit allowing direct access to the extremal surface. In the BPS limit the anti-holomorphic part of the on-shell action vanishes identically, leading automatically to the holomorphic expression expected microscopically. This gives us confidence that the newly defined thermal partition function in terms of these variables is the natural candidate for a full microscopic description. |
| first_indexed | 2024-03-11T15:16:28Z |
| format | Article |
| id | doaj.art-13578ee2c91d4040ae46ee558262a8e6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:16:28Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-13578ee2c91d4040ae46ee558262a8e62023-10-29T12:12:23ZengSpringerOpenJournal of High Energy Physics1029-84792023-08-012023811210.1007/JHEP08(2023)003Explicit black hole thermodynamics in natural variablesKiril Hristov0Faculty of Physics, Sofia UniversityAbstract We consider the general thermal asymptotically flat Kerr-Newman black holes in 4d Einstein-Maxwell theory. Even though their thermodynamics has been understood for decades, the Gibbs free energy and on-shell action are only known implicitly as functions of the standard chemical potentials. Using the so-called left and right moving (or holomorphic and anti-holomorphic) variables related to the chemical potentials on both the outer and the inner horizons, we are able to present explicit and very simple expressions for all quantities. We discuss various limits in the parameter space, remarkably finding a smooth BPS limit allowing direct access to the extremal surface. In the BPS limit the anti-holomorphic part of the on-shell action vanishes identically, leading automatically to the holomorphic expression expected microscopically. This gives us confidence that the newly defined thermal partition function in terms of these variables is the natural candidate for a full microscopic description.https://doi.org/10.1007/JHEP08(2023)003Black HolesBlack Holes in String TheoryClassical Theories of Gravity |
| spellingShingle | Kiril Hristov Explicit black hole thermodynamics in natural variables Journal of High Energy Physics Black Holes Black Holes in String Theory Classical Theories of Gravity |
| title | Explicit black hole thermodynamics in natural variables |
| title_full | Explicit black hole thermodynamics in natural variables |
| title_fullStr | Explicit black hole thermodynamics in natural variables |
| title_full_unstemmed | Explicit black hole thermodynamics in natural variables |
| title_short | Explicit black hole thermodynamics in natural variables |
| title_sort | explicit black hole thermodynamics in natural variables |
| topic | Black Holes Black Holes in String Theory Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP08(2023)003 |
| work_keys_str_mv | AT kirilhristov explicitblackholethermodynamicsinnaturalvariables |