Analysis of spherically symmetric black holes in Braneworld models

TL;DR

This paper investigates spherically symmetric black holes within Braneworld models, analyzing their stability, thermodynamics, and quasi-normal modes, with findings indicating stability under scalar perturbations and universal entropy bounds.

Contribution

It introduces a detailed study of specific black hole solutions in Braneworld models, including their stability and perturbation characteristics, expanding understanding of black holes in higher-dimensional theories.

Findings

Black holes are stable under scalar perturbations.

Quasi-normal modes are present in the studied models.

Entropy bounds are independent of black hole parameters.

Abstract

Research on black holes and their physical proprieties has been active on last 90 years. With the appearance of the String Theory and the Braneworld models as alternative descriptions of our Universe, the interest on black holes, in these context, increased. In this work we studied black holes in Braneworld models. A class of spherically symmetric black holes is investigaded as well its stability under general perturbations. Thermodynamic proprieties and quasi-normal modes are discussed. The black holes studied are the SM (zero mass) and CFM solutions, obtained by Casadio {\it et al.} and Bronnikov {\it et al.}. The geometry of bulk is unknown. However the Campbell-Magaard Theorem guarantees the existence of a 5-dimensional solution in the bulk whose projection on the brane is the class of black holes considered. They are stable under scalar perturbations. Quasi-normal modes were observed in both models. The tail behavior of the perturbations is the same. The entropy upper bound of a body absorved by the black holes studied was calculated. This limit turned out to be independent of the black hole parameters.