Journal
PHYSICAL REVIEW D
Volume 91, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.91.064006
Keywords
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Funding
- FONDECYT [1121031, 1130423, 1141073, 11090281, 11121651]
- CONACYT [175993, 178346]
- CONICYT [80130051, 79112034]
- Proyectos CONICYT
- Research Council UK (RCUK) [DPI20140053]
- Programa Atraccion de Capital Humano Avanzado del Extranjero, MEC from CONICYT
- BECA DOCTORAL CONICYT [21120271]
- Alexander von Humboldt Foundation
- Departamento de Relaciones Internacionales Programa Regional MATHAMSUD [13 MATH-05]
- Programa de Becas Nacionales of CONACYT
- Plataforma de Movilidad Estudiantil Alianza del Pacifico of the Agencia de Cooperacion Internacional de Chile
- Apoyo para obtencion de grado of CINVESTAV
- Chilean Government through the Centers of Excellence Base Financing Program of CONICYT
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The aim of this paper is to confirm in new concrete examples that the semiclassical entropy of a three-dimensional Lifshitz black hole can be recovered through an anisotropic generalization of the Cardy formula derived from the growth of the number of states of a boundary nonrelativistic field theory. The role of the ground state in the bulk is played by the corresponding Lifshitz soliton obtained by a double Wick rotation. In order to achieve this task, we consider a scalar field nonminimally coupled to new massive gravity for which we study different classes of Lifshitz black holes as well as their respective solitons, including new solutions for a dynamical exponent z = 3. The masses of the black holes and solitons are computed using the quasilocal formulation of conserved charges recently proposed by Gim et al. and based on the off-shell extension of the ADT formalism. We confirm the anisotropic Cardy formula for each of these examples, providing a stronger base for its general validity. Consistently, the first law of thermodynamics together with a Smarr formula are also verified.
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