The volume of the black hole interior at late times
Abstract Understanding the fate of semi-classical black hole solutions at very late times is one of the most important open questions in quantum gravity. In this paper, we provide a path integral definition of the volume of the black hole interior and study it at arbitrarily late times for black hol...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2022)073 |
| _version_ | 1818198240491732992 |
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| author | Luca V. Iliesiu Márk Mezei Gábor Sárosi |
| author_facet | Luca V. Iliesiu Márk Mezei Gábor Sárosi |
| author_sort | Luca V. Iliesiu |
| collection | DOAJ |
| description | Abstract Understanding the fate of semi-classical black hole solutions at very late times is one of the most important open questions in quantum gravity. In this paper, we provide a path integral definition of the volume of the black hole interior and study it at arbitrarily late times for black holes in various models of two-dimensional gravity. Because of a novel universal cancellation between the contributions of the semi-classical black hole spectrum and some of its non-perturbative corrections, we find that, after a linear growth at early times, the length of the interior saturates at a time, and towards a value, that is exponentially large in the entropy of the black hole. This provides a non-perturbative test of the complexity equals volume proposal since complexity is also expected to plateau at the same value and at the same time. |
| first_indexed | 2024-12-12T02:02:44Z |
| format | Article |
| id | doaj.art-83ca8d4b5a4f487eae506e05e19f77e4 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T02:02:44Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-83ca8d4b5a4f487eae506e05e19f77e42022-12-22T00:42:07ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022713710.1007/JHEP07(2022)073The volume of the black hole interior at late timesLuca V. Iliesiu0Márk Mezei1Gábor Sárosi2Stanford Institute for Theoretical Physics, Stanford UniversitySimons Center for Geometry and Physics, SUNYCERN, Theoretical Physics DepartmentAbstract Understanding the fate of semi-classical black hole solutions at very late times is one of the most important open questions in quantum gravity. In this paper, we provide a path integral definition of the volume of the black hole interior and study it at arbitrarily late times for black holes in various models of two-dimensional gravity. Because of a novel universal cancellation between the contributions of the semi-classical black hole spectrum and some of its non-perturbative corrections, we find that, after a linear growth at early times, the length of the interior saturates at a time, and towards a value, that is exponentially large in the entropy of the black hole. This provides a non-perturbative test of the complexity equals volume proposal since complexity is also expected to plateau at the same value and at the same time.https://doi.org/10.1007/JHEP07(2022)073AdS-CFT CorrespondenceBlack HolesMatrix Models |
| spellingShingle | Luca V. Iliesiu Márk Mezei Gábor Sárosi The volume of the black hole interior at late times Journal of High Energy Physics AdS-CFT Correspondence Black Holes Matrix Models |
| title | The volume of the black hole interior at late times |
| title_full | The volume of the black hole interior at late times |
| title_fullStr | The volume of the black hole interior at late times |
| title_full_unstemmed | The volume of the black hole interior at late times |
| title_short | The volume of the black hole interior at late times |
| title_sort | volume of the black hole interior at late times |
| topic | AdS-CFT Correspondence Black Holes Matrix Models |
| url | https://doi.org/10.1007/JHEP07(2022)073 |
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