2015/01/31 by Eloy Ayón–Beato, Eloy Ayon-Beato, Moisés Bravo‐Gaete +7 · 2 citations
Physics and Astronomy · #Anisotropy #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #First law #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Scalar field #Semiclassical physics #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.91.064006
published as Phys. Rev. D 91, 064006 (2015)
openalex publication_date 2015/03/02 · openalex created_date 2016/06/24 · arxiv created 2017/08/04 · arxiv updated 2017/08/08 · openalex updated_date 2026/08/05
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.