On AdS black holes in two-dimensional dilaton gravity
| Autor: | Noriega-Cornelio, Uriel, Herrera-Aguilar, Alfredo, Ramirez-Romero, Cupatitzio |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we present three analytic AdS black hole solutions in a two-dimensional dilaton gravity theory, which contains two scalar fields non-minimally coupled to gravity. Our solutions I and II contain two arbitrary integration constants in the blackening factor $f(r)$, with which we can impose an extremality condition. Solution I coincides with a previously reported AdS black hole when one of the integration constants vanishes in $f(r)$ and we have only one non-trivial scalar field. Solution III corresponds to an extreme black hole configuration with an asymptotically finite constant dilaton field. For all of our solutions, both non-extremal and extremal, the scalar curvature is constant and negative, corresponding to $AdS_2$ spacetime. Thus, we show that pure $AdS_2$ geometry arises outside the event horizon of all our black hole configurations, not only in the near horizon region. In order to elucidate their black hole nature, we explore the causal structure of solutions I and II with the aid of suitable Kruskal-like coordinates and Penrose diagrams. By employing the Hamilton-Jacobi method, we construct a boundary counter-term that renders a renormalized action with a vanishing variation. We use this finite action for the partition function in the semi-classical approximation. We establish a consistent Thermodynamics, verified by the first law, across all the black hole solutions presented, including the extreme case. Comment: 43 pages in latex, 7 figures |
| Databáze: | arXiv |
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