Black hole solutions in gravity with nonminimal derivative coupling and nonlinear material fields
arXiv:2001.01515 · doi:10.1142/S021827182050025X
Abstract
Scalar-tensor theory of gravity with nonlinear electromagnetic field, minimally coupled to gravity is considered and static black hole solutions are obtained. Namely, power-law and Born-Infeld nonlinear Lagrangians for the electromagnetic field are examined. Since the cosmological constant is taken into account, it allowed us to investigate so-called topological black holes. Black hole thermodynamics is studied, in particular temperature of the black holes is calculated and examined and the first law of thermodynamics is obtained with help of Wald's approach.
7 pages, 3 figures
References in corpus (5)
- The Confrontation between General Relativity and Experiment
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Black holes with non-minimal derivative coupling
- Quintessence and phantom cosmology with non-minimal derivative coupling
- Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics