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

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