Rotating and nonrotating AdS black holes in f (T ) gravity nonlinear electrodynamics
Abstract
We derive new exact charged ddimensional black hole solutions for quadratic teleparallel equivalent gravity, f (T ) =a_{0}+a_{1}T +a_{2}T^{2} , where T is the torsion scalar, in the case of nonlinear electrodynamics. We give a specific form of electromagnetic function and find out the form of the unknown functions that characterize the vielbeins in presence of the electromagnetic field. It is possible to show that the black holes behave asymptotically as AdS solutions and contain, in addition to the monopole and quadrupole terms, other higher order terms whose source is the nonlinear electrodynamics field. We calculate the electromagnetic Maxwell field and show that our ddimensional black hole solutions coincide with the previous obtained one (Awad et al. in J High Energy Phys 13:1706.01773, 2017). The structure of the solutions show that there is a central singularity that is much mild in comparison with the respective one in general relativity. Finally, the thermodynamical properties of the solutions are investigated by calculating the entropy, the Hawking temperature, the heat capacity, and other physical quantities. The most important result of thermodynamics is that the entropy is not proportional to the area of the black hole. This inanition points out that we must have a constrain on the quadrupole term to get a positive entropy otherwise we get a negative value.
 Publication:

European Physical Journal C
 Pub Date:
 November 2019
 DOI:
 10.1140/epjc/s100520197424x
 arXiv:
 arXiv:1908.07381
 Bibcode:
 2019EPJC...79..911C
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 14 Pages, 3 Ligures, Latex, Will appear in EPJC