Wheeler DeWitt states of a charged AdS4 black hole
Abstract We solve the Wheeler DeWitt equation for the planar Reissner-Nordström-AdS black hole in a minisuperspace approximation. We construct semiclassical Wheeler DeWitt states from Gaussian wavepackets that are peaked on classical black hole interior solutions. By using the metric component g xx...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2023)002 |
| _version_ | 1797233809686528000 |
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| author | Matthew J. Blacker Sirui Ning |
| author_facet | Matthew J. Blacker Sirui Ning |
| author_sort | Matthew J. Blacker |
| collection | DOAJ |
| description | Abstract We solve the Wheeler DeWitt equation for the planar Reissner-Nordström-AdS black hole in a minisuperspace approximation. We construct semiclassical Wheeler DeWitt states from Gaussian wavepackets that are peaked on classical black hole interior solutions. By using the metric component g xx as a clock, these states are evolved through both the exterior and interior horizons. Close to the singularity, we show that quantum fluctuations in the wavepacket become important, and therefore the classicality of the minisuperspace approximation breaks down. Towards the AdS boundary, the Wheeler DeWitt states are used to recover the Lorentzian partition function of the dual theory living on this boundary. This partition function is specified by an energy and a charge. Finally, we show that the Wheeler DeWitt states know about the black hole thermodynamics, recovering the grand canonical thermodynamic potential after an appropriate averaging at the black hole horizon. |
| first_indexed | 2024-03-09T06:00:58Z |
| format | Article |
| id | doaj.art-2253874ffb0043b59708f7b40eec9292 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T16:22:04Z |
| publishDate | 2023-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2253874ffb0043b59708f7b40eec92922024-03-31T11:07:13ZengSpringerOpenJournal of High Energy Physics1029-84792023-12-0120231212310.1007/JHEP12(2023)002Wheeler DeWitt states of a charged AdS4 black holeMatthew J. Blacker0Sirui Ning1Department of Applied Mathematics and Theoretical Physics, University of CambridgeThe Rudolf Peierls Centre for Theoretical Physics, University of OxfordAbstract We solve the Wheeler DeWitt equation for the planar Reissner-Nordström-AdS black hole in a minisuperspace approximation. We construct semiclassical Wheeler DeWitt states from Gaussian wavepackets that are peaked on classical black hole interior solutions. By using the metric component g xx as a clock, these states are evolved through both the exterior and interior horizons. Close to the singularity, we show that quantum fluctuations in the wavepacket become important, and therefore the classicality of the minisuperspace approximation breaks down. Towards the AdS boundary, the Wheeler DeWitt states are used to recover the Lorentzian partition function of the dual theory living on this boundary. This partition function is specified by an energy and a charge. Finally, we show that the Wheeler DeWitt states know about the black hole thermodynamics, recovering the grand canonical thermodynamic potential after an appropriate averaging at the black hole horizon.https://doi.org/10.1007/JHEP12(2023)002AdS-CFT CorrespondenceBlack HolesModels of Quantum GravitySpace- time Singularities |
| spellingShingle | Matthew J. Blacker Sirui Ning Wheeler DeWitt states of a charged AdS4 black hole Journal of High Energy Physics AdS-CFT Correspondence Black Holes Models of Quantum Gravity Space- time Singularities |
| title | Wheeler DeWitt states of a charged AdS4 black hole |
| title_full | Wheeler DeWitt states of a charged AdS4 black hole |
| title_fullStr | Wheeler DeWitt states of a charged AdS4 black hole |
| title_full_unstemmed | Wheeler DeWitt states of a charged AdS4 black hole |
| title_short | Wheeler DeWitt states of a charged AdS4 black hole |
| title_sort | wheeler dewitt states of a charged ads4 black hole |
| topic | AdS-CFT Correspondence Black Holes Models of Quantum Gravity Space- time Singularities |
| url | https://doi.org/10.1007/JHEP12(2023)002 |
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