Radially Excited AdS Black Holes in Einstein--Maxwell--Chern--Simons Theory
arXiv:1710.10011 · doi:10.3390/e19100567
Abstract
In the large coupling regime of the 5-dimensional Einstein--Maxwell--Chern--Simons theory, charged and rotating cohomogeneity-1 black holes form sequences of extremal and non-extremal radially excited configurations. These asymptotically global Anti-de Sitter (AdS) black holes form a discrete set of solutions, characterised by the vanishing of the total angular momenta, or the horizon angular velocity. However, the solutions are not static. In this paper, we study the branch structure that contains these excited states, and its relation with the static Reissner-Nordström-AdS black hole. Thermodynamic properties of these solutions are considered, revealing that the branches with lower excitation number can become thermodynamically unstable beyond certain critical solutions that depend on the free parameters of the configuration.
18 pages, 9 figures, invited paper for the "Entropy" special issue "Geometry in Thermodynamics II", editor George Ruppeiner
References in corpus (8)
- Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
- Non-Extremal Rotating Black Holes in Five-Dimensional Gauged Supergravity
- Near-horizon geometries of supersymmetric AdS(5) black holes
- Paramagnetism-Ferromagnetism Phase Transition in a Dyonic Black Hole
- One entropy function to rule them all
- Charged Rotating AdS Black Holes with Chern-Simons coupling
- Charged rotating black holes in Einstein--Maxwell--Chern-Simons theory with a negative cosmological constant
- Static Einstein-Maxwell Magnetic Solitons and Black Holes in an Odd Dimensional AdS Spacetime