Rotating black holes in a Randall-Sundrum brane with a cosmological constant

TL;DR

This paper constructs rotating black hole solutions in a Randall-Sundrum brane with a cosmological constant, analyzing their optical properties and polarization behavior in asymptotically de Sitter and anti-de Sitter spacetimes.

Contribution

It presents new axially symmetric vacuum solutions describing rotating black holes in a brane-world scenario with a cosmological constant.

Findings

Solutions describe rotating black holes in a brane with cosmological constant

Optical features and polarization rotation are analyzed

Asymptotic behaviors include de Sitter and anti-de Sitter spacetimes

Abstract

In this work we have constructed axially symmetric vacuum solutions of the gravitational field equations in a Randall-Sundrum brane. A non-null effective cosmological constant is considered, and asymptotically de Sitter and anti-de Sitter spacetimes are obtained. The solutions describe rotating black holes in a four-dimensional brane. Optical features of the solutions are treated, emphasizing the rotation of the polarization vector along null congruences.