From AdS Black Holes to Supersymmetric Flux-branes

TL;DR

This paper demonstrates how AdS black holes can be analytically continued into regular magnetic flux-branes with specific boundary behaviors, and also constructs a smooth cosmological solution in de Sitter gravity connecting different spacetime geometries.

Contribution

It introduces a method to transform AdS black holes into flux-branes with regularity and boundary properties, and presents a new cosmological solution in de Sitter gravity.

Findings

Flux-branes are regular with appropriate charges.

Flux-branes interpolate between AdS_{D-2} H^2 and AdS_D boundaries.

A smooth cosmological solution connects dS_2 S^{D-2} to dS_D spacetime.

Abstract

We show that AdS black hole solutions admit an analytical continuation to become magnetic flux-branes. Although a BPS AdS black hole generally has a naked singularity, the BPS flux-brane can be regular everywhere with an appropriate choice of U(1)-charges. This flux-brane interpolates from AdS_{D-2} \times H^2 at small distance to an asymptotic AdS_D-type metric with an AdS_{D-2}\times S^1 boundary. We also obtain a smooth cosmological solution of de Sitter Einstein-Maxwell gravity which flows from dS_2\times S^{D-2} in the infinite past to a dS_D-type metric, with an S^{D-2}\times S^1 boundary, in the infinite future.