Einstein-Gauss-Bonnet black strings at large α
Abstract The simplest black string in higher-dimensional general relativity (GR) is perhaps the direct product of a Schwarzschild spacetime and a flat spatial direction. However, it is known that the Einstein-Gauss-Bonnet theory does not allow such a trivial and simple solution. We propose a novel a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)135 |
| _version_ | 1811208766475993088 |
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| author | Ryotaku Suzuki Shinya Tomizawa |
| author_facet | Ryotaku Suzuki Shinya Tomizawa |
| author_sort | Ryotaku Suzuki |
| collection | DOAJ |
| description | Abstract The simplest black string in higher-dimensional general relativity (GR) is perhaps the direct product of a Schwarzschild spacetime and a flat spatial direction. However, it is known that the Einstein-Gauss-Bonnet theory does not allow such a trivial and simple solution. We propose a novel analytic technique, which assumes that the Gauss-Bonnet (GB) term becomes dominant over the Einstein-Hilbert (EH) term. Assuming the dimensionless coupling constant α normalized by the horizon scale is large enough, we find that the spacetime is separated into the GB region and GR region, which are matched via the transition region where the GB and EH terms are comparable. Using this large α approximation, we indeed construct new analytic solutions of black strings, from which we analytically compute various physical quantities of black strings at large α. Moreover, we confirm that all these analytic results are consistent with the numerical calculation. We also discuss the possible extension to general Einstein-Lovelock black holes. |
| first_indexed | 2024-04-12T04:28:17Z |
| format | Article |
| id | doaj.art-c972436d2bc74c36ad2f58e766562902 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T04:28:17Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c972436d2bc74c36ad2f58e7665629022022-12-22T03:48:02ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022912710.1007/JHEP09(2022)135Einstein-Gauss-Bonnet black strings at large αRyotaku Suzuki0Shinya Tomizawa1Mathematical Physics Laboratory Toyota Technological InstituteMathematical Physics Laboratory Toyota Technological InstituteAbstract The simplest black string in higher-dimensional general relativity (GR) is perhaps the direct product of a Schwarzschild spacetime and a flat spatial direction. However, it is known that the Einstein-Gauss-Bonnet theory does not allow such a trivial and simple solution. We propose a novel analytic technique, which assumes that the Gauss-Bonnet (GB) term becomes dominant over the Einstein-Hilbert (EH) term. Assuming the dimensionless coupling constant α normalized by the horizon scale is large enough, we find that the spacetime is separated into the GB region and GR region, which are matched via the transition region where the GB and EH terms are comparable. Using this large α approximation, we indeed construct new analytic solutions of black strings, from which we analytically compute various physical quantities of black strings at large α. Moreover, we confirm that all these analytic results are consistent with the numerical calculation. We also discuss the possible extension to general Einstein-Lovelock black holes.https://doi.org/10.1007/JHEP09(2022)135Black HolesBlack Holes in String TheoryClassical Theories of Gravity |
| spellingShingle | Ryotaku Suzuki Shinya Tomizawa Einstein-Gauss-Bonnet black strings at large α Journal of High Energy Physics Black Holes Black Holes in String Theory Classical Theories of Gravity |
| title | Einstein-Gauss-Bonnet black strings at large α |
| title_full | Einstein-Gauss-Bonnet black strings at large α |
| title_fullStr | Einstein-Gauss-Bonnet black strings at large α |
| title_full_unstemmed | Einstein-Gauss-Bonnet black strings at large α |
| title_short | Einstein-Gauss-Bonnet black strings at large α |
| title_sort | einstein gauss bonnet black strings at large α |
| topic | Black Holes Black Holes in String Theory Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP09(2022)135 |
| work_keys_str_mv | AT ryotakusuzuki einsteingaussbonnetblackstringsatlargea AT shinyatomizawa einsteingaussbonnetblackstringsatlargea |