Codimension-2 black hole solutions on a thin 3-brane and their extension into the bulk

TL;DR

This paper explores six-dimensional gravity with a Gauss-Bonnet term, presenting localized black hole solutions on a thin 3-brane that extend into the bulk, with regular horizons and specific matter constraints in the extra dimensions.

Contribution

It introduces new black hole solutions in higher-dimensional gravity with a Gauss-Bonnet term, showing their localization on a 3-brane and extension into the bulk with regular horizons.

Findings

Black holes can be localized on a 3-brane in six-dimensional gravity.

Solutions have regular horizons with no additional curvature singularities.

Presence of matter in extra dimensions is required to sustain these solutions.

Abstract

In this talk 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. It is shown that these black holes can be localized on the 3-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, in order to sustain our solutions.