A Note on Black Holes in Asymptotically Lifshitz Spacetime

Abstract

We investigate several aspects of exact black hole solutions in asymptotically Lifshitz spacetime, which were proposed in 0812.0530. Firstly, we calculate the tidal forces and find that in the near horizon region of such black hole backgrounds, the tidal forces diverge in the near extremal limit. Secondly, we evaluate the Wilson loops in both extremal and finite temperature cases. Finally, we obtain the corresponding shear viscosity and square of the sound speed and find that the ratio of shear viscosity to entropy density takes the universal value $1/4\pi$ in arbitrary dimensions while the square of the speed of sound saturates the conjectured bound 1/3 in five dimensions.

19 pages, 2 figures, one error corrected

References in corpus (18)

• Building an AdS/CFT superconductor
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Membranes at Quantum Criticality
• Non-relativistic holography
• Solutions to Horava Gravity
• Topological Black Holes in Horava-Lifshitz Gravity
• Black holes in asymptotically Lifshitz spacetime
• On String Theory Duals of Lifshitz-like Fixed Points
• Towards constraining of the Horava-Lifshitz gravities
• A bound on the speed of sound from holography
• Holography and the speed of sound at high temperatures
• Geometry of Schroedinger Space-Times, Global Coordinates, and Harmonic Trapping
• Lifshitz Topological Black Holes
• Towards Gravity solutions of AdS/CMT
• More gravity solutions of AdS/CMT

Cited by in corpus (23)

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• Holographic Superconductors with Lifshitz Scaling
• Extremal rotating solutions in Horava Gravity
• Detailed balance in Horava-Lifshitz gravity
• Thermodynamics of black branes in asymptotically Lifshitz spacetimes
• Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries
• Holographic Superconductor for a Lifshitz fixed point
• Lifshitz Scaling Effects on Holographic Superconductors
• Lifshitz-like black brane thermodynamics in higher dimensions
• Zero Sound in Strange Metallic Holography
• Surplus Solid Angle as an Imprint of Horava-Lifshitz Gravity
• Holographic fermions in charged Lifshitz theory
• Universal thermal and electrical conductivity from holography
• Drag force in asymptotically Lifshitz spacetimes
• Notes on Properties of Holographic Strange Metals
• Lifshitz Effects on Vector Condensate Induced by a Magnetic Field
• Particle Probe of Horava-Lifshitz Gravity
• Magnetic response of holographic Lifshitz superconductors:Vortex and Droplet solutions
• Optical properties of Born-Infeld-dilaton-Lifshitz holographic superconductors
• Cohomogeneity-1 solutions in Einstein-Maxwell-dilaton gravity
• Kasner-type singularities and solitons with Lifshitz asymptotics