Deforming charged black holes with dipolar differential rotation boundary

TL;DR

This paper constructs and analyzes charged deforming AdS black holes with differential boundary conditions, revealing complex phase structures, horizon geometries, and quasinormal modes influenced by charge and temperature variations.

Contribution

It introduces charged deforming AdS black holes with differential boundary conditions and explores their thermodynamic and geometric properties, including phase diagrams and horizon structures.

Findings

Existence of at least one horizon for any temperature in charged cases

Two solution families with same horizon geometry and entropy at fixed temperature

Charge q complicates the entropy phase diagram

Abstract

Motivated by the recent studies of the novel asymptotically global AdS$_4$ black hole with deforming horizon, we consider the action of Einstein-Maxwell gravity in AdS spacetime and construct the charged deforming AdS black holes with differential boundary. In contrast to deforming black hole without charge, there exists at least one value of horizon for an arbitrary temperature. The extremum of temperature is determined by charge $q$ and divides the range of temperature into several parts. Moreover, we use an isometric embedding in the three-dimensional space to investigate the horizon geometry. We also study the entropy and quasinormal modes of deforming charged AdS black hole. It is interesting to find there exist two families of black hole solutions with different horizon radius for a fixed temperature, but these two black holes have same horizon geometry and entropy. Due to the existence of charge $q$, the phase diagram of entropy is more complicated.