Kerr-Schild Method and Geodesic Structure in Codimension-2 Brane Black Holes

TL;DR

This paper explores five-dimensional codimension-2 brane black holes with Gauss-Bonnet corrections, deriving new solutions with charge and angular momentum using the Kerr-Schild method, and analyzing their geodesic structure.

Contribution

It introduces new black hole solutions in higher-dimensional gravity with Gauss-Bonnet terms using the Kerr-Schild approach and studies their geodesic properties.

Findings

Derived new charged and rotating black hole solutions.

Analyzed the geodesic structure of these spacetimes.

Enhanced understanding of codimension-2 brane black hole geometries.

Abstract

We consider the black hole solutions of five-dimensional gravity with a Gauss-Bonnet term in the bulk and an induced gravity term on a 2-brane of codimension-2. Applying the Kerr-Schild method we derive additional solutions which include charge and angular momentum. To improve our understanding of this geometry we study the geodesic structure of such spacetimes.