Black Holes on Thin 3-branes of Codimension-2 and their Extension into the Bulk

TL;DR

This paper explores localized black hole solutions on a thin 3-brane in six-dimensional gravity with Gauss-Bonnet corrections, demonstrating their extension into the bulk with regular horizons and the necessity of matter in extra dimensions.

Contribution

It presents new black hole solutions on codimension-2 branes in six-dimensional Gauss-Bonnet gravity, including their extension into the bulk with warp factors and matter constraints.

Findings

Black holes can be localized on the brane and extended into the bulk.

Solutions have regular horizons without additional curvature singularities.

Matter in extra dimensions is required due to the Gauss-Bonnet term projection.

Abstract

We discuss black hole solutions in six-dimensional gravity with a Gauss-Bonnet term in the bulk and an induced gravity term on a thin 3-brane of codimension-2. We show that these black holes can be localized on the brane, and they can further be extended 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 requires the presence of matter in the extra dimensions.