Thermodynamics of Lifshitz Black Holes

Abstract

We specialize the Wald formalism to derive the thermodynamical first law for static black holes with spherical/torus/hyperbolic symmetries in a variety of supergravities or supergravity-inspired theories involving multiple scalars and vectors. We apply the formula to study the first law of a general class of Lifshitz black holes. We analyse the first law of three exact Lifshitz black holes and the results fit the general pattern. In one example, the first law is $TdS+\Phi dQ=0$ where $(\Phi ,Q)$ are the electric potential and charge of the Maxwell field. The unusual vanishing of mass in this specific solution demonstrates that super-extremal charged black holes can exist in asymptotic Lifshitz spacetimes.

27 pages

References in corpus (16)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Effective Holographic Theories for low-temperature condensed matter systems
• Non-relativistic holography
• Black holes in asymptotically Lifshitz spacetime
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• Electron stars for holographic metallic criticality
• Lifshitz Solutions of D=10 and D=11 supergravity
• Charged Black Branes with Hyperscaling Violating Factor
• Wrapped M5-branes, consistent truncations and AdS/CMT
• Constructing Lifshitz solutions from AdS
• Lifshitz solutions in supergravity and string theory
• Special limits and non-relativistic solutions
• Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
• High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity
• Thermodynamics of AdS Black Holes in Einstein-Scalar Gravity

Cited by in corpus (14)

• Thermodynamical First Laws of Black Holes in Quadratically-Extended Gravities
• Dyonic (A)dS Black Holes in Einstein-Born-Infeld Theory in Diverse Dimensions
• Peculiar $P-V$ criticality of topological Hořava-Lifshitz black holes
• SU(2)-Colored (A)dS Black Holes in Conformal Gravity
• Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
• Thermodynamics of dyonic black holes with Thurston horizon geometries
• Thermodynamics of charged Lifshitz black holes with quadratic corrections
• Magnetized topological black holes of dimensionally continued gravity
• Electrically-Charged Lifshitz Spacetimes, and Hyperscaling Violations
• Charged Black Holes in Colored Lifshitz Spacetimes
• Non-Abelian (Hyperscaling Violating) Lifshitz Black Holes in General Dimensions
• Holographic complexity for nonlinearly charged Lifshitz black holes
• Holographic stress tensor of colored Lifshitz spacetimes and hairy black holes
• Thermodynamics of non-linearly charged Anti-de Sitter black holes in four-dimensional Critical Gravity