Universal scalarization in topological AdS black holes

TL;DR

This paper explores the universal behavior of scalarization in topological AdS black holes across different horizon geometries, revealing phase transition patterns and the influence of pressure and temperature on scalarization phenomena.

Contribution

It demonstrates the universal aspects of black hole scalarization in AdS spacetimes with various topologies and uncovers complex phase transition behaviors without requiring non-linear terms.

Findings

Scalarization occurs at low temperatures in all topologies.

Spherical topology extends scalarization to higher temperatures at low pressure.

Transition from first-order to cave-of-wind style with increasing pressure.

Abstract

We investigate the universal behavior of black hole scalarization induced by a charged scalar field in the extended phase space of the asymptotic AdS spacetime with three distinct horizon topologies. The results indicate that in all the three cases, the charged black hole spacetime undergoes scalarization at low temperatures. Notably, the spherical topology is unique in that its domain of scalarization theoretically extends to much higher temperatures under low pressure in the extended phase space. Moreover, the scalarization process in the spherical case exhibits complex phase transition behaviors without additional non-linear terms, which are similar to those in the planar and hyperbolic topologies with the assistance of non-linear terms. With increasing pressure in the extended phase space, the condensate of the scalarization in all three cases undergoes a transition from the first-order style to a cave-of-wind style. This study provides deeper insight into the zeroth-order phase transition during black hole scalarization and reveals the complete phase structure of black holes in the extended phase space.