Thermodynamics of Black Holes in Schroedinger Space
arXiv:0809.4928 · doi:10.1088/0264-9381/26/7/075006
Abstract
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.
20 pages
References in corpus (6)
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Nonrelativistic conformal field theories
- Vacuum Energy in Odd-Dimensional AdS Gravity
- Metastability of R-Charged Black Holes
- Black hole complementarity with local horizons and Horowitz-Maldacena's proposal
Cited by in corpus (15)
- Non-relativistic holography
- Galilean Conformal Algebras and AdS/CFT
- Black holes in asymptotically Lifshitz spacetime
- Holographic stress tensor for non-relativistic theories
- Transport Properties of Holographic Defects
- Correlation Functions in Non-Relativistic Holography
- Quantum criticality and black holes
- On AdS/CFT of Galilean Conformal Field Theories
- Branes at Quantum Criticality
- Non-relativistic Branes
- Non-relativistic CFT and Semi-classical Strings
- Non-relativistic metrics with extremal limits
- Lifshitz Topological Black Holes
- Non-relativistic D3-brane in the presence of higher derivative corrections
- Ideal gas matching for thermal Galilean holography