Scalar field propagation in braneworld black hole scenario obtained from Nash theorem

TL;DR

This paper studies scalar field behavior around braneworld black holes with dark components, using Nash's theorem, and explores quasinormal modes and potential astrophysical and theoretical implications.

Contribution

It introduces a novel approach to modeling braneworld black holes with dark matter and energy via Nash's theorem, analyzing scalar fields and quasinormal modes.

Findings

Identification of quasinormal modes for different black hole solutions.

Potential observable differences from standard General Relativity.

Implications for AdS/CFT correspondence scenarios.

Abstract

We determine the scalar field evolution of a braneworld localized black hole with both dark matter and dark energy components, obtained within a dynamical and continuous embedding formalism by use of Nash's theorem. We further extract the associated quasinormal modes for both de Sitter-Schwarzschild-Dark matter and anti-de Sitter-Schwarzschild-Dark matter solutions, for the different causal structures (one, two or three horizon spacetimes) given by the space of parameters. By comparison with standard General Relativity solutions, we infer possible observable astrophysical differences, and remark on modifications to previous AdS/CFT correspondence scenarios.