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arXiv · 1507.06664

On the thermal stability of a static spherically symmetric black holes in Nash embedding framework

Abraão J. S Capistrano·Antonio C. Gutiérrez-Piñeres·Sergio C. Ulhoa·Ronni G. G. Amorim
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Abstract

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.

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Abraão J. S Capistrano, Antonio C. Gutiérrez-Piñeres, Sergio C. Ulhoa, Ronni G. G. Amorim. 2015-07-20. On the thermal stability of a static spherically symmetric black holes in Nash embedding framework. https://doi.org/10.1016/j.aop.2017.03.006

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