Four-dimensional black holes with scalar hair in nonlinear electrodynamics

The European Physical Journal C

Yerko Vásquez¹  José Barrientos²  P. A. González³ 

[1] Departamento de Física y Astronomía, Facultad de Ciencias, Universidad de La Serena, Avenida Cisternas 1200, La Serena, Chile;Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile;Departamento de Enseñanza de las Ciencias Básicas, Universidad Católica del Norte, Larrondo 1281, Coquimbo, Chile;Facultad de Ingeniería, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla 298-V, Santiago, Chile;

关键词: Black Hole;    Scalar Field;    Black Hole Solution;    Charged Black Hole;    Grand Canonical Ensemble;   

DOI  :  10.1140/epjc/s10052-016-4526-6

来源: Springer

【 摘 要 】

We consider a gravitating system consisting of a scalar field minimally coupled to gravity with a self-interacting potential and a U(1) nonlinear electromagnetic field. Solving analytically and numerically the coupled system for both power-law and Born–Infeld type electrodynamics, we find charged hairy black hole solutions. Then we study the thermodynamics of these solutions and we find that at a low temperature the topological charged black hole with scalar hair is thermodynamically preferred, whereas the topological charged black hole without scalar hair is thermodynamically preferred at a high temperature for power-law electrodynamics. Interestingly enough, these phase transitions occur at a fixed critical temperature and do not depend on the exponent p of the nonlinear electrodynamics.

【 授权许可】

CC BY