Dilaton gravity approach to three dimensional Lifshitz black hole

Abstract

The z=3 Lifshitz black hole is an exact black hole solution to the new massive gravity in three dimensions. In order to understand this black hole clearly, we perform a dimensional reduction to two dimensional dilaton gravity by utilizing the circular symmetry. Considering the linear dilaton, we find the same Lifshitz black hole in two dimensions. This implies that all thermodynamic quantities of the z=3 Lifshitz black hole could be obtained from its corresponding black hole in two dimensions. As a result, we derive the temperature, mass, heat capacity, Bekesnstein-Hawking entropy, and free energy.

13 pages, 1 figure, version to appear in EPJC

References in corpus (30)

• Massive Gravity in Three Dimensions
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Warped AdS_3 Black Holes
• More on Massive 3D Gravity
• Topological Black Holes in Horava-Lifshitz Gravity
• Black holes in asymptotically Lifshitz spacetime
• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity
• On String Theory Duals of Lifshitz-like Fixed Points
• Lifshitz Black Hole in Three Dimensions
• Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• An analytic Lifshitz black hole
• A Lifshitz Black Hole in Four Dimensional R^2 Gravity
• Thermodynamics of Hořava-Lifshitz black holes
• Note on New Massive Gravity in $Ad{S}_3$
• Bending AdS Waves with New Massive Gravity
• A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds
• Consistent Boundary Conditions for New Massive Gravity in $Ad{S}_3$
• Thermodynamics of black branes in asymptotically Lifshitz spacetimes
• Thermodynamics of regular black hole
• Black holes with a null Killing vector in three-dimensional massive gravity
• Thermodynamics of Einstein-Born-Infeld black holes in three dimensions
• Massive Gravity with Mass Term in Three Dimensions
• Ruppeiner geometry and 2D dilaton gravity in the thermodynamics of black holes
• New attractor mechanism for spherically symmetric extremal black holes
• Central Charges in 2d Reduced Cosmological Massive Gravity
• R^2 Corrections to Asymptotically Lifshitz Spacetimes
• Thermodynamic duality between RN black hole and 2D dilaton gravity

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• Holographic superconductors with $z=2$ Lifshitz scaling
• First law and anisotropic Cardy formula for three-dimensional Lifshitz black holes
• Lifshitz-like black brane thermodynamics in higher dimensions
• Classical stability of BTZ black hole in new massive gravity
• Quasinormal frequencies and thermodynamic quantities for the Lifshitz black holes
• Holographic fermions in charged Lifshitz theory
• On the thermodynamics of Lifshitz black holes
• Phase transitions for the Lifshitz black holes
• Informational properties of holographic Lifshitz field theory
• Quasinormal modes and thermodynamical aspects of the 3D Lifshitz black hole
• Absorption cross section in Lifshitz black hole
• Scalar Boundary Conditions in Hyperscaling Violating Geometry
• Stationary Lifshitz Black Hole of New Massive Gravity
• The mass of a Lifshitz black hole