Wheeler-DeWitt states of the AdS-Schwarzschild interior
Abstract We solve the Wheeler-DeWitt equation for the planar AdS-Schwarzschild interior in a minisuperspace approximation involving the volume and spatial anisotropy of the interior. A Gaussian wavepacket is constructed that is peaked on the classical interior solution. Simple observables are comput...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2023)066 |
| _version_ | 1797836665036734464 |
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| author | Sean A. Hartnoll |
| author_facet | Sean A. Hartnoll |
| author_sort | Sean A. Hartnoll |
| collection | DOAJ |
| description | Abstract We solve the Wheeler-DeWitt equation for the planar AdS-Schwarzschild interior in a minisuperspace approximation involving the volume and spatial anisotropy of the interior. A Gaussian wavepacket is constructed that is peaked on the classical interior solution. Simple observables are computed using this wavepacket, demonstrating the freedom to a choose a relational notion of ‘clock’ in the interior and characterizing the approach to the spacelike singularity. The Wheeler-DeWitt equation may be extended out through the horizon, where it describes the holographic renormalization group flow of the black hole exterior. This amounts to the Hamilton-Jacobi evolution of the metric component g tt from positive interior values to negative exterior values. The interior Gaussian wavepacket is shown to evolve into the Lorentizan partition function of the boundary conformal field theory over a microcanonical energy window. |
| first_indexed | 2024-04-09T15:12:34Z |
| format | Article |
| id | doaj.art-272467b1bdd54d9880cfbf983aafe4c5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T15:12:34Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-272467b1bdd54d9880cfbf983aafe4c52023-04-30T11:05:07ZengSpringerOpenJournal of High Energy Physics1029-84792023-01-012023112710.1007/JHEP01(2023)066Wheeler-DeWitt states of the AdS-Schwarzschild interiorSean A. Hartnoll0Department of Applied Mathematics and Theoretical Physics, University of CambridgeAbstract We solve the Wheeler-DeWitt equation for the planar AdS-Schwarzschild interior in a minisuperspace approximation involving the volume and spatial anisotropy of the interior. A Gaussian wavepacket is constructed that is peaked on the classical interior solution. Simple observables are computed using this wavepacket, demonstrating the freedom to a choose a relational notion of ‘clock’ in the interior and characterizing the approach to the spacelike singularity. The Wheeler-DeWitt equation may be extended out through the horizon, where it describes the holographic renormalization group flow of the black hole exterior. This amounts to the Hamilton-Jacobi evolution of the metric component g tt from positive interior values to negative exterior values. The interior Gaussian wavepacket is shown to evolve into the Lorentizan partition function of the boundary conformal field theory over a microcanonical energy window.https://doi.org/10.1007/JHEP01(2023)066AdS-CFT CorrespondenceBlack HolesSpacetime Singularities |
| spellingShingle | Sean A. Hartnoll Wheeler-DeWitt states of the AdS-Schwarzschild interior Journal of High Energy Physics AdS-CFT Correspondence Black Holes Spacetime Singularities |
| title | Wheeler-DeWitt states of the AdS-Schwarzschild interior |
| title_full | Wheeler-DeWitt states of the AdS-Schwarzschild interior |
| title_fullStr | Wheeler-DeWitt states of the AdS-Schwarzschild interior |
| title_full_unstemmed | Wheeler-DeWitt states of the AdS-Schwarzschild interior |
| title_short | Wheeler-DeWitt states of the AdS-Schwarzschild interior |
| title_sort | wheeler dewitt states of the ads schwarzschild interior |
| topic | AdS-CFT Correspondence Black Holes Spacetime Singularities |
| url | https://doi.org/10.1007/JHEP01(2023)066 |
| work_keys_str_mv | AT seanahartnoll wheelerdewittstatesoftheadsschwarzschildinterior |