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

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 solutions within stand alone general relativity, we conclude with comments on possible observable astrophysical differences via quasinormal spectra, and remark on the interpretations of previous AdS/CFT correspondence scenarios.