Black brane solutions of Einstein-Maxwell-scalar theory with Liouville potential

TL;DR

This paper studies black brane solutions in a three-parameter Einstein-Maxwell-scalar model with exponential potential, classifying their existence and asymptotic behaviors relevant for holography and condensed matter physics.

Contribution

It provides a comprehensive classification of regular black brane solutions and explores their asymptotic properties within a nonminimally coupled Einstein-Maxwell-scalar framework.

Findings

Solutions exist only within specific parameter ranges.

Asymptotic behaviors either break hyperscaling invariance or resemble domain walls.

Some exact solutions are explicitly constructed.

Abstract

We investigate the global properties of black brane solutions of a three-parameter Einstein-Maxwell model nonminimally coupled to a scalar with exponential potential. The black brane solutions of this model have recently been investigated because of their relevance for holography and for the AdS/condensed matter correspondence. We classify all the possible regular solutions and show that they exist only for a limited range of values of the parameters and that their asymptotic behavior either breaks hyperscaling invariance or has the form of a domain wall. We also write down some exact solutions in Schwarzschild coordinates.