Black Holes and Black String-like Solutions in Codimension-2 Braneworlds

TL;DR

This paper explores black hole solutions in codimension-2 braneworlds with Gauss-Bonnet and induced gravity terms, showing they can be localized on the brane with regular horizons and specific matter constraints.

Contribution

It presents new localized black hole solutions in higher-dimensional braneworlds incorporating Gauss-Bonnet corrections and analyzes their properties and matter constraints.

Findings

Black holes can be localized on the brane with regular horizons.

Solutions extend into the bulk via warp functions.

Gauss-Bonnet term imposes matter constraints on the brane and bulk.

Abstract

We discuss black hole solutions with a Gauss-Bonnet term in the bulk and an induced gravity term on a thin brane of codimension-2. We show that these black holes can be localized on the brane, and they can be extended further into the bulk by a warp function. These solutions have regular horizons and no other curvature singularities appear apart from the string-like ones. The projection of the Gauss-Bonnet term on the brane imposes a constraint relation which dictates the form of matter on the brane and in the bulk.