Phase transitions of neutral planar hairy AdS black holes

TL;DR

This paper explores the phase structure of four-dimensional regular hairy planar black holes, revealing first order phase transitions and connecting specific solutions to supergravity models.

Contribution

It introduces a class of exact hairy black hole solutions, constructs their soliton ground state, and analyzes phase transitions, including embedding in supergravity.

Findings

Existence of first order phase transitions

Construction of hairy soliton ground state

Embedding in $ ext{omega}$-deformed $ ext{N}=8$ supergravity

Abstract

We investigate the phase diagram of a general class of $4$-dimensional exact regular hairy planar black holes. For some particular values of the parameters in the moduli potential, these solutions can be embedded in $\omega$-deformed $\mathcal{N}=8$ gauged supergravity. We construct the hairy soliton that is the ground state of the theory and show that there exist first order phase transitions.