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A Note on Black Holes in Asymptotically Lifshitz Spacetime
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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.
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Cited by 2 Pith papers
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Lifshitz-like black branes in arbitrary dimensions and the third law of thermodynamics
Exact black brane solutions with Lifshitz asymptotics are derived in arbitrary dimensions for two models, satisfying the third law for some parameters but exhibiting non-monotonic entropy-temperature relations for others.
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Lifshitz-like Magnetic Black Branes: Third Law of Thermodynamics and the Null Energy Condition
In three Lifshitz-like black brane models, the null energy condition and third law of thermodynamics show no correlation in two cases but the former implies the latter in the third.
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