Journal
PHYSICAL REVIEW D
Volume 100, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.100.126026
Keywords
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Funding
- CONICYT through Becas Chile program
- CONICYT through PAI [77190046]
- Fondecyt [3170707, 1171162]
- Chilean Government through the Centers of Excellence Base Financing Program of CONICYT
- CONICYT [21161262]
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The thermodynamic properties of the Bafiados-Teitelboim-Zanelli black hole endowed with Korteweg-de Vries (KdV)-type boundary conditions are reconsidered. This family of boundary conditions is labeled by a non-negative integer n, and gives rise to a dual theory which possesses anisotropic Lifshitz scaling invariance with dynamical exponent z = 2n + 1. We show that from the scale invariance of the action for stationary and circularly symmetric spacetimes, an anisotropic version of the Smarr relation arises. Finally, we analyze the global and local thermal stability of the system and we found that the specific heat of the black hole is positive for all possible values of z, and at the self-dual temperature T-s = 1/2 pi(1/z)(z/z+1), there is a Hawking-Page phase transition between the BTZ black hole and thermal AdS(3) spacetime.
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