New anisotropic Gauss–Bonnet black holes in five dimensions at the critical point
Abstract We obtain new vacuum static black hole solutions with anisotropic horizons in Einstein–Gauss–Bonnet gravity with a negative cosmological constant in five dimensions. The translational invariance along one direction on the 3-dimensional horizon cross section is broken. The Gauss–Bonnet coupl...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-12450-0 |
| _version_ | 1797233331456180224 |
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| author | Yuxuan Peng |
| author_facet | Yuxuan Peng |
| author_sort | Yuxuan Peng |
| collection | DOAJ |
| description | Abstract We obtain new vacuum static black hole solutions with anisotropic horizons in Einstein–Gauss–Bonnet gravity with a negative cosmological constant in five dimensions. The translational invariance along one direction on the 3-dimensional horizon cross section is broken. The Gauss–Bonnet coupling $$\alpha $$ α is at the critical point where there is one single AdS vacuum. These solutions does not appear in the form of a warped product, i.e. they lack a common warping factor, and the metric contains 2 arbitrary functions, h(r) of the radial coordinate r and H(y) of the horizon coordinate y – some degeneracy in the metric. The nontrivial horizon and the degeneracy may be closely related to the critical value of $$\alpha $$ α . We introduce the process of obtaining the solutions and some of their properties, and also prove a uniqueness theorem for the case when there is a common warping factor for the rest two directions. |
| first_indexed | 2024-03-07T15:26:50Z |
| format | Article |
| id | doaj.art-7c572e16181145d4b7d970b72cf1d1d0 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T16:14:28Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-7c572e16181145d4b7d970b72cf1d1d02024-03-31T11:32:41ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-01-018411710.1140/epjc/s10052-024-12450-0New anisotropic Gauss–Bonnet black holes in five dimensions at the critical pointYuxuan Peng0Department of Physics, School of Science, East China University of TechnologyAbstract We obtain new vacuum static black hole solutions with anisotropic horizons in Einstein–Gauss–Bonnet gravity with a negative cosmological constant in five dimensions. The translational invariance along one direction on the 3-dimensional horizon cross section is broken. The Gauss–Bonnet coupling $$\alpha $$ α is at the critical point where there is one single AdS vacuum. These solutions does not appear in the form of a warped product, i.e. they lack a common warping factor, and the metric contains 2 arbitrary functions, h(r) of the radial coordinate r and H(y) of the horizon coordinate y – some degeneracy in the metric. The nontrivial horizon and the degeneracy may be closely related to the critical value of $$\alpha $$ α . We introduce the process of obtaining the solutions and some of their properties, and also prove a uniqueness theorem for the case when there is a common warping factor for the rest two directions.https://doi.org/10.1140/epjc/s10052-024-12450-0 |
| spellingShingle | Yuxuan Peng New anisotropic Gauss–Bonnet black holes in five dimensions at the critical point European Physical Journal C: Particles and Fields |
| title | New anisotropic Gauss–Bonnet black holes in five dimensions at the critical point |
| title_full | New anisotropic Gauss–Bonnet black holes in five dimensions at the critical point |
| title_fullStr | New anisotropic Gauss–Bonnet black holes in five dimensions at the critical point |
| title_full_unstemmed | New anisotropic Gauss–Bonnet black holes in five dimensions at the critical point |
| title_short | New anisotropic Gauss–Bonnet black holes in five dimensions at the critical point |
| title_sort | new anisotropic gauss bonnet black holes in five dimensions at the critical point |
| url | https://doi.org/10.1140/epjc/s10052-024-12450-0 |
| work_keys_str_mv | AT yuxuanpeng newanisotropicgaussbonnetblackholesinfivedimensionsatthecriticalpoint |