Charged Black Holes with Scalar Hair

TL;DR

This paper explores Einstein-Maxwell-Dilaton theories with non-standard scalar couplings, revealing new charged black hole solutions with scalar hair, and compares their properties to classical solutions like Reissner-Nordström black holes.

Contribution

It introduces a class of Einstein-Maxwell-Dilaton theories with stationary point couplings, finding new charged black holes with scalar hair and extending results to black p-branes.

Findings

Existence of two charged black holes with the same near-horizon geometry but different masses.

Exact charged AdS black hole solutions with scalar hair.

Generalization to black p-branes with scalar hair.

Abstract

We consider a class of Einstein-Maxwell-Dilaton theories, in which the dilaton coupling to the Maxwell field is not the usual single exponential function, but one with a stationary point. The theories admit two charged black holes: one is the Reissner-Nordstr{\o}m (RN) black hole and the other has a varying dilaton. For a given charge, the new black hole in the extremal limit has the same AdS$_2\times$Sphere near-horizon geometry as the RN black hole, but it carries larger mass. We then introduce some scalar potentials and obtain exact charged AdS black holes. We also generalize the results to black $p$-branes with scalar hair.