The first law of thermodynamics in Lifshitz black holes revisited

Abstract

We obtain the mass expression of the three- and five-dimensional Lifshitz black holes by em- ploying the recently proposed quasilocal formulation of conserved charges, which is based on the off-shell extension of the ADT formalism. Our result is consistent with the first law of black hole thermodynamics and resolves the reported discrepancy between the ADT formalism and the other conventional methods. The same mass expression of Lifshitz black holes is obtained by using an- other quasilocal method by Padmanabhan. We also discuss the reported discrepancy in the context of the extended first law of black hole thermodynamics by allowing the pressure term.

16pages, improved version to appear in JHEP

References in corpus (7)

• P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
• Surface charge algebra in gauge theories and thermodynamic integrability
• Black holes in asymptotically Lifshitz spacetime
• Black hole mass and angular momentum in topologically massive gravity
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Holographic stress tensor for non-relativistic theories
• Quasi-Local Conserved Charges in Covariant Theory of Gravity

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