Quasinormal modes of black holes localized on the Randall-Sundrum 2-brane

TL;DR

This paper studies the quasinormal modes of various fields around a black hole localized on a 2-brane within a Randall-Sundrum model, revealing differences in frequencies due to the brane's influence.

Contribution

It provides the first analysis of conformal scalar, electromagnetic, and Dirac quasinormal modes for a brane-localized black hole in a lower-dimensional Randall-Sundrum setup, highlighting unique angular equation features.

Findings

Radial equations match those of 4D Schwarzschild black hole.

Angular equations differ from standard, affecting quasinormal frequencies.

Results suggest brane effects modify black hole oscillation spectra.

Abstract

We investigate conformal scalar, electromagnetic, and massless Dirac quasinormal modes of a brane-localized black hole. The background solution is the four-dimensional black hole on a 2-brane that has been constructed by Emparan, Horowitz, and Myers in the context of a lower dimensional version of the Randall-Sundrum model. The conformally transformed metric admits a Killing tensor, allowing us to obtain separable field equations. We find that the radial equations take the same form as in the four-dimensional "braneless" Schwarzschild black hole. The angular equations are, however, different from the standard ones, leading to a different prediction for quasinormal frequencies.