Metric fluctuations in higher-dimensional black holes
Abstract We investigated the impact of metric fluctuations on the higher-dimensional black hole geometry. We generalized the four-dimensional model to higher dimensions to treat quantum vacuum fluctuations by the classical approach. A fluctuating black hole is portrayed by a higher-dimensional Vaidy...
| Main Authors: | , |
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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 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2023)102 |
| _version_ | 1797647512116396032 |
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| author | Hyewon Han Bogeun Gwak |
| author_facet | Hyewon Han Bogeun Gwak |
| author_sort | Hyewon Han |
| collection | DOAJ |
| description | Abstract We investigated the impact of metric fluctuations on the higher-dimensional black hole geometry. We generalized the four-dimensional model to higher dimensions to treat quantum vacuum fluctuations by the classical approach. A fluctuating black hole is portrayed by a higher-dimensional Vaidya metric with a spherically oscillating mass. Assuming a small fluctuation amplitude, we employed a perturbation method to obtain a radially outgoing null geodesic equation up to the second order in the fluctuation. Furthermore, the fluctuation of the event horizon up to the second order depends on the number of spacetime dimensions. Therefore, the time-averaged values of the thermodynamic variables defined at the horizon also feature dimension-dependent correction terms. A general solution was obtained for rays propagating near the horizon within a fluctuating geometry. Upon examining this in a large D limit, we found that a complete solution can be obtained in a compact form. |
| first_indexed | 2024-03-11T15:17:15Z |
| format | Article |
| id | doaj.art-da8aa9b661464e3e918908d40134cac7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:17:15Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-da8aa9b661464e3e918908d40134cac72023-10-29T12:11:10ZengSpringerOpenJournal of High Energy Physics1029-84792023-08-012023811810.1007/JHEP08(2023)102Metric fluctuations in higher-dimensional black holesHyewon Han0Bogeun Gwak1Division of Physics and Semiconductor Science, Dongguk UniversityDivision of Physics and Semiconductor Science, Dongguk UniversityAbstract We investigated the impact of metric fluctuations on the higher-dimensional black hole geometry. We generalized the four-dimensional model to higher dimensions to treat quantum vacuum fluctuations by the classical approach. A fluctuating black hole is portrayed by a higher-dimensional Vaidya metric with a spherically oscillating mass. Assuming a small fluctuation amplitude, we employed a perturbation method to obtain a radially outgoing null geodesic equation up to the second order in the fluctuation. Furthermore, the fluctuation of the event horizon up to the second order depends on the number of spacetime dimensions. Therefore, the time-averaged values of the thermodynamic variables defined at the horizon also feature dimension-dependent correction terms. A general solution was obtained for rays propagating near the horizon within a fluctuating geometry. Upon examining this in a large D limit, we found that a complete solution can be obtained in a compact form.https://doi.org/10.1007/JHEP08(2023)102Black HolesClassical Theories of GravityLarge Extra DimensionsBlack Holes in String Theory |
| spellingShingle | Hyewon Han Bogeun Gwak Metric fluctuations in higher-dimensional black holes Journal of High Energy Physics Black Holes Classical Theories of Gravity Large Extra Dimensions Black Holes in String Theory |
| title | Metric fluctuations in higher-dimensional black holes |
| title_full | Metric fluctuations in higher-dimensional black holes |
| title_fullStr | Metric fluctuations in higher-dimensional black holes |
| title_full_unstemmed | Metric fluctuations in higher-dimensional black holes |
| title_short | Metric fluctuations in higher-dimensional black holes |
| title_sort | metric fluctuations in higher dimensional black holes |
| topic | Black Holes Classical Theories of Gravity Large Extra Dimensions Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP08(2023)102 |
| work_keys_str_mv | AT hyewonhan metricfluctuationsinhigherdimensionalblackholes AT bogeungwak metricfluctuationsinhigherdimensionalblackholes |