General Non-extremal Rotating Charged Godel Black Holes in Minimal Five-Dimensional Gauged Supergravity

Abstract

We present the general exact solutions for non-extremal rotating charged black holes in the Godel universe of five-dimensional minimal supergravity theory. They are uniquely characterized by four non-trivial parameters, namely the mass $m$, the charge $q$, the Kerr equal rotation parameter $a$, and the Godel parameter $j$. We calculate the conserved energy, angular momenta and charge for the solutions and show that they completely satisfy the first law of black hole thermodynamics. We also study the symmetry and separability of the Hamilton-Jacobi and the massive Klein-Gordon equations in these Einstein-Maxwell-Chern-Simons-Godel black hole backgrounds.

arXiv comment4 pages, revtex4.cls. 4th revised version

References in corpus (19)

• All supersymmetric solutions of minimal supergravity in five dimensions
• D--branes and Spinning Black Holes
• General Non-Extremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
• Black Holes of D=5 Supergravity
• Charged Kerr-de Sitter Black Holes in Five Dimensions
• Tunnelling From Gödel Black Holes
• Black holes in Godel universes and pp-waves
• Charged Rotating Black Holes in 5d Einstein-Maxwell-(A)dS Gravity
• Spinning deformations of the D1-D5 system and a geometric resolution of Closed Timelike Curves
• Scalar field perturbations of the Schwarzschild black hole in the Gödel Universe
• Conserved charges and thermodynamics of the spinning Godel black hole
• Rotating Black Holes in a Goedel Universe
• The Kerr-Newman-Godel Black Hole
• Notes on non-extremal, charged, rotating black holes in minimal D=5 gauged supergravity
• On the Thermodynamics of Goedel Black Holes
• On uniqueness of charged Kerr-AdS black holes in five dimensions
• Non-supersymmetric asymptotically AdS_5 x S^5 smooth geometries
• A Note on Supersymmetric Godel Black Holes, Strings and Rings of Minimal d=5 Supergravity
• Three Charge Supertubes in Type IIB Plane Wave Backgrounds

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