Electromagnetic perturbations in new brane world scenarios

TL;DR

This paper explores electromagnetic behavior in Randall-Sundrum brane models, deriving new spacetime solutions, analyzing their causal structures, and demonstrating black hole electromagnetic stability through numerical and analytical methods.

Contribution

It introduces a family of four-dimensional brane-compatible spacetimes, including black holes, and studies electromagnetic dynamics and stability within these models.

Findings

Black holes in the brane are electromagnetically stable.

Derived electromagnetic quasinormal mode spectra.

Constructed maximal extensions and analyzed causal structures.

Abstract

In this work we consider electromagnetic dynamics in Randall-Sundrum branes. It is derived a family of four-dimensional spacetimes compatible with Randall-Sundrum brane worlds, focusing on asymptotic flat backgrounds. Maximal extensions of the solutions are constructed and their causal structures are discussed. These spacetimes include singular, non-singular and extreme black holes. Maxwell's electromagnetic field is introduced and its evolution is studied in an extensive numerical survey. Electromagnetic quasinormal mode spectra are derived and analyzed with time-dependent and high-order WKB methods. Our results indicate that the black holes in the brane are electromagnetically stable.