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

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

2007-09-12

arxiv.org/abs/0709.1749v4

Phys.Rev.Lett.100:121301,2008

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, revtex4.cls. 4th revised version

Scientific paper

10.1103/PhysRevLett.100.121301

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.

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