Non-Extremal Rotating Black Holes in Five-Dimensional Gauged Supergravity

Abstract

Supersymmetric black holes in five-dimensional gauged supergravity must necessarily be rotating, and so in order to study the passage to black holes away from supersymmetry, it is of great interest to obtain non-extremal black holes that again have non-zero rotation. In this paper we find a simple framework for describing non-extremal rotating black holes in five-dimensional gauged supergravities. Using this framework, we are able to construct a new solution, describing the general single-charge solution of N=2 gauged supergravity, with arbitrary values for the two rotation parameters. Previously-obtained solutions with two or three equal charges also assume a much simpler form in the new framework, as also does the general solution with three unequal charges in ungauged N=2 supergravity. We discuss the thermodynamics and BPS limit of the new single-charge solutions, and we discuss the separability of the Hamilton-Jacobi and Klein-Gordan equations in these backgrounds.

Latex, 12 pages. Mis-statement about separability of Hamilton-Jacobi and Klein-Gordon equations corrected

References in corpus (2)

• Supersymmetric multi-charge AdS_5 black holes
• Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines

Cited by in corpus (23)

• Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
• Forced Fluid Dynamics from Gravity
• Thermodynamical Metrics and Black Hole Phase Transitions
• Equal charge black holes and seven dimensional gauged supergravity
• Higher dimensional rotating black holes in Einstein-Maxwell theory with negative cosmological constant
• Scalar Love numbers and Love symmetries of 5-dimensional Myers-Perry black holes
• New Rotating Non-Extremal Black Holes in D=5 Maximal Gauged Supergravity
• Separability of the massive Dirac's equation in 5-dimensional Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano tensor
• New supersymmetric solutions of N=2, D=5 gauged supergravity with hyperscalars
• Charged rotating black holes in Einstein--Maxwell--Chern-Simons theory with a negative cosmological constant
• Symmetry operators and separability of massive Klein-Gordon and Dirac equations in the general 5-dimensional Kerr-(anti-)de Sitter black hole background
• Bubbling AdS Black Holes
• New phases of $\mathcal{N}=4$ SYM at finite chemical potential
• Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories
• Wave Equation for the Wu Black Hole
• Separability of multi-charge black holes in supergravity
• Thermodynamics of Asymptotically Conical Geometries
• Chiral 2D "Strange Metals" from N = 4 SYM
• AdS${}_5$ rotating non-Abelian black holes
• Mode Stability For Massless Scalars In Five-Dimensional Black Hole Backgrounds
• Confinement and Graded Partition Functions for $\mathcal{N}=4$ SYM
• Four-charge static non-extremal black holes in the five-dimensional $\mathcal{N}=2$, $STU-W^{2}U$ supergravity
• Radially Excited AdS${}_5$ Black Holes in Einstein--Maxwell--Chern--Simons Theory