Microscopic entropy of higher-dimensional nonminimally dressed Lifshitz black holes

• Published in: Physical review. D 2019-08, Vol.100 (4), p.1, Article 044024
• Main Authors: Ayón-Beato, Eloy, Bravo-Gaete, Moisés, Correa, Francisco, Hassaine, Mokhtar, Juárez-Aubry, María Montserrat
• Format: Article
• Language: English
• Subjects: Anisotropy; Black holes; Configurations; Critical point; Curvature; Energy conservation law; Entropy; Mathematical analysis; Solitary waves
• ISSN: 2470-0010; 2470-0029
• DOI: 10.1103/PhysRevD.100.044024

In arbitrary dimension, we consider a theory described by the most general quadratic curvature corrections of Einstein gravity together with a self-interacting nonminimally coupled scalar field. This theory is shown to admit five different families of Lifshitz black holes dressed with a nontrivial scalar field. The entropy of these configurations is microscopically computed by means of a higher-dimensional anisotropic Cardy-like formula where the role of the ground state is played by the soliton obtained through a double analytic continuation. This involves calculating the correct expressions for the masses of the higher-dimensional Lifshitz black hole as well as their corresponding soliton. The robustness of this Cardy-like formula is checked by showing that the microscopic entropy is in perfect agreement with the gravitational Wald entropy. Consequently, the calculated global charges are compatible with the first law of thermodynamics as well as an anisotropic higher-dimensional version of the Smarr formula. Some of these configurations exist on Lifshitz critical points of the theory where all their extensive thermodynamic quantities vanish.