Regular $(2+1)$-dimensional spatially homogeneous $α'$-corrected BTZ-like black hole in string theory
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913932800688128 |
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| author | Naderi, F. Rezaei-Aghdam, A. |
| author_facet | Naderi, F. Rezaei-Aghdam, A. |
| contents | We consider a $(2+1)$-dimensional spacetime whose two-dimensional space part is Weyl-related to a surface of arbitrary negative constant Gaussian curvature with symmetries of two-dimensional Lie algebra. It is shown that the geometry is a Lobachevsky-type geometry described by deformed hyperbolic function. At leading order string effective action with the source given by dilaton and antisymmetric $B$-field in the presence of central charge deficit term $Λ$, we obtained a solution whose line element is Weyl-related to this homogeneous spacetime with arbitrary negative Gaussian curvature. The solution can be transformed to the BTZ-like black hole by coordinate redefinition, while the BTZ black hole can be recovered by choosing a special set of parameters. The solutions appear to be in the high curvature limit $Rα'\gtrsim1$, with emphasis on including the higher order $α'$ corrections. Considering the two-loop (first order $α'$) $β$-function equations of $σ$-model, we also present the $α'$-corrected black hole solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00387 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Regular $(2+1)$-dimensional spatially homogeneous $α'$-corrected BTZ-like black hole in string theory Naderi, F. Rezaei-Aghdam, A. High Energy Physics - Theory We consider a $(2+1)$-dimensional spacetime whose two-dimensional space part is Weyl-related to a surface of arbitrary negative constant Gaussian curvature with symmetries of two-dimensional Lie algebra. It is shown that the geometry is a Lobachevsky-type geometry described by deformed hyperbolic function. At leading order string effective action with the source given by dilaton and antisymmetric $B$-field in the presence of central charge deficit term $Λ$, we obtained a solution whose line element is Weyl-related to this homogeneous spacetime with arbitrary negative Gaussian curvature. The solution can be transformed to the BTZ-like black hole by coordinate redefinition, while the BTZ black hole can be recovered by choosing a special set of parameters. The solutions appear to be in the high curvature limit $Rα'\gtrsim1$, with emphasis on including the higher order $α'$ corrections. Considering the two-loop (first order $α'$) $β$-function equations of $σ$-model, we also present the $α'$-corrected black hole solutions. |
| title | Regular $(2+1)$-dimensional spatially homogeneous $α'$-corrected BTZ-like black hole in string theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2309.00387 |