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Conserved charges and thermodynamics of the spinning Gödel black hole
Glenn Barnich1, Geoffrey Compère
1Physique Théorique et Mathématique, Université Libre de Bruxelles, and International Solvay Institutes, Campus Plaine C.P. 231, B-1050 Brussels, Belgium.
Abstract:
We compute the mass, angular momenta, and charge of the Gödel-type rotating black hole solution to five-dimensional minimal supergravity. A generalized Smarr formula is derived, and the first law of thermodynamics is verified. The computation rests on a new approach to conserved charges in gauge theories that allows for their computation at finite radius.
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