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- W4322832103 abstract "In this paper, we present four novel analytic Lifshitz motivated 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 a novel extremality condition, in contrast with previously known black hole field configurations. Solution I coincides with a previously reported AdS black hole when one of the integration constants vanishes in $f(r)$, the critical exponent is set to unity, and we have only one non-trivial scalar field. Solutions III and IV correspond to extreme black hole configurations with an asymptotically finite constant dilaton field. For all of our solutions, we show that $AdS_2$ spacetime arises as the geometry outside the extremal black hole configurations, not only in the near horizon region, regardless of the critical exponent value $z$. 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 extremal cases." @default.
- W4322832103 created "2023-03-03" @default.
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- W4322832103 date "2023-02-28" @default.
- W4322832103 modified "2023-10-14" @default.
- W4322832103 title "Lifshitz motivated black holes in two-dimensional dilaton gravity" @default.
- W4322832103 doi "https://doi.org/10.48550/arxiv.2303.00218" @default.
- W4322832103 hasPublicationYear "2023" @default.
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