Thermodynamics of Black Holes in Schroedinger Space

Details Thermodynamics of Black Holes in Schroedinger Space Thermodynamics of Black Holes in Schroedinger Space

2008-09-29

arxiv.org/abs/0809.4928v1

Class.Quant.Grav.26:075006,2009

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1088/0264-9381/26/7/075006

A black hole and a black hyperboloid solutions in the space with the Schroedinger isometries are presented and their thermodynamics is examined. The on-shell action is obtained by the difference between the extremal and non-extremal ones with the unusual matching of the boundary metrics. This regularization method is first applied to the black brane solution in the space of the Schroedinger symmetry and shown to correctly reproduce the known thermodynamics. The actions of the black solutions all turn out to be the same as the AdS counterparts. The phase diagram of the black hole system is obtained in the parameter space of the temperature and chemical potential and the diagram contains the Hawking-Page phase transition and instability lines.

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