Deforming charged black holes with dipolar differential rotation boundary

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.

arXiv comment19 pages, 9 figures

References in corpus (23)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Quasinormal modes of black holes and black branes
• Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
• Stationary Black Holes: Uniqueness and Beyond
• A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
• Numerical Methods for Finding Stationary Gravitational Solutions
• Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS
• Rotating black holes in 4d gauged supergravity
• Boundary Conditions for Kerr-AdS Perturbations
• Four-dimensional black holes with unusual horizons
• Superradiant instabilities of asymptotically anti-de Sitter black holes
• Global embedding of the Kerr black hole event horizon into hyperbolic 3-space
• Deformed hyperbolic black holes
• New black holes in $D=5$ minimal gauged supergravity: Deformed boundaries and frozen horizons
• Deforming black holes in AdS
• Squashing the Boundary of Supersymmetric AdS${}_5$ Black Holes
• Black holes with bottle-shaped horizons
• Attempts at vacuum counterexamples to cosmic censorship in AdS
• Stirring a black hole
• General Supersymmetric AdS${}_5$ Black Holes with Squashed Boundary
• Deforming black holes with even multipolar differential rotation boundary
• Deforming black holes with odd multipolar differential rotation boundary