Quasi-topological gravities on general spherically symmetric metric
Abstract In this work we study a more restricted class of quasi-topological gravity theories where the higher curvature terms have no contribution to the equation of motion on general static spherically symmetric metric where g tt g rr ≠ constant. We construct such theories up to quintic order in Ri...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2023)055 |
| _version_ | 1797795935664734208 |
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| author | Feiyu Chen |
| author_facet | Feiyu Chen |
| author_sort | Feiyu Chen |
| collection | DOAJ |
| description | Abstract In this work we study a more restricted class of quasi-topological gravity theories where the higher curvature terms have no contribution to the equation of motion on general static spherically symmetric metric where g tt g rr ≠ constant. We construct such theories up to quintic order in Riemann tensor and observe an important property of these theories: the higher order term in the Lagrangian vanishes identically when evaluated on the most general non-stationary spherically symmetric metric ansatz. This not only signals the higher terms could only have non-trivial effects when considering perturbations, but also makes the theories quasi-topological on a much wider range of metrics. As an example of the holographic effects of such theories, we consider a general Einstein-scalar theory and calculate it’s holographic shear viscosity. |
| first_indexed | 2024-03-13T03:25:32Z |
| format | Article |
| id | doaj.art-ba35ce0492cd4937afecc3ba5e203575 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:32Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ba35ce0492cd4937afecc3ba5e2035752023-06-25T11:05:56ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023312710.1007/JHEP03(2023)055Quasi-topological gravities on general spherically symmetric metricFeiyu Chen0Institute of High Energy Physics, Chinese Academy of SciencesAbstract In this work we study a more restricted class of quasi-topological gravity theories where the higher curvature terms have no contribution to the equation of motion on general static spherically symmetric metric where g tt g rr ≠ constant. We construct such theories up to quintic order in Riemann tensor and observe an important property of these theories: the higher order term in the Lagrangian vanishes identically when evaluated on the most general non-stationary spherically symmetric metric ansatz. This not only signals the higher terms could only have non-trivial effects when considering perturbations, but also makes the theories quasi-topological on a much wider range of metrics. As an example of the holographic effects of such theories, we consider a general Einstein-scalar theory and calculate it’s holographic shear viscosity.https://doi.org/10.1007/JHEP03(2023)055AdS-CFT CorrespondenceBlack HolesClassical Theories of Gravity |
| spellingShingle | Feiyu Chen Quasi-topological gravities on general spherically symmetric metric Journal of High Energy Physics AdS-CFT Correspondence Black Holes Classical Theories of Gravity |
| title | Quasi-topological gravities on general spherically symmetric metric |
| title_full | Quasi-topological gravities on general spherically symmetric metric |
| title_fullStr | Quasi-topological gravities on general spherically symmetric metric |
| title_full_unstemmed | Quasi-topological gravities on general spherically symmetric metric |
| title_short | Quasi-topological gravities on general spherically symmetric metric |
| title_sort | quasi topological gravities on general spherically symmetric metric |
| topic | AdS-CFT Correspondence Black Holes Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP03(2023)055 |
| work_keys_str_mv | AT feiyuchen quasitopologicalgravitiesongeneralsphericallysymmetricmetric |