On the thermal stability of a static spherically symmetric black holes in Nash embedding framework
| Autor: | Capistrano, Abraão J. S, Gutiérrez-Piñeres, Antonio C., Ulhoa, Sergio C., Amorim, Ronni G. G. |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Annals of Physics (Print), v. 380, p. 106-120, 2017 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.aop.2017.03.006 |
| Popis: | We study the deformation caused by the influence of extrinsic curvature on a vacuum spherically symmetric metric embedded in a five-dimensional bulk. In this sense, we investigate the produced black-holes and derive general characteristics such as their masses, horizons, singularities and thermal properties. As a test, we also study the bending of light near such black-holes analyzing the movement of a test particle and the modification caused by extrinsic curvature on its movement. Accordingly, using the asymptotically conformal flat condition for the extrinsic curvature, an analytical expansion of a set of \emph{n}-scalar fields can be defined and we show that the corresponding black holes must be large and constrained in the range of allowed values $-1/2 \leq n \leq 1.8$. As a result, they are locally thermodynamically stable, but not globally preferred. Comment: 10 pages,6 figures, 1 table, extended discussion on embeddings, corrected typos and references |
| Databáze: | arXiv |
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