Charged antide Sitter BTZ black holes in Maxwellf(T) gravity
Abstract
Inspired by the Bañados, Teitelboim and Zanelli (BTZ) formalism, we discuss the Maxwellf(T) gravity in (2 + 1) dimensions. The main task is to derive exact solutions for a special form of f(T) = T + 𝜖T2, with T being the torsion scalar of Weitzenböck geometry. To this end, a triad field is applied to the equations of motion of charged f(T) and sets of circularly symmetric noncharged and charged solutions have been derived. We show that, in the charged case, the monopolelike and the ln terms are linked by a correlative constant despite the known results in teleparallel geometry and its extensions.39 Furthermore, it is possible to show that the event horizon is not identical with the Cauchy horizon due to such a constant. The singularities and the horizons of these black holes are examined: they are new and have no analogue in the literature due to the fact that their curvature singularities are soft. We calculate the energy content of these solutions by using the general vector form of the energymomentum within the framework of f(T) gravity. Finally, some thermodynamical quantities, like entropy and Hawking temperature, are derived.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 May 2018
 DOI:
 10.1142/S0217751X18500768
 arXiv:
 arXiv:1710.06620
 Bibcode:
 2018IJMPA..3350076N
 Keywords:

 Modified gravity;
 teleparallel gravity;
 black holes in (2+1) dimension;
 singularities;
 04.50.Kd;
 98.80.k;
 04.80.Cc;
 95.10.Ce;
 96.30.t;
 Modified theories of gravity;
 Cosmology;
 Experimental tests of gravitational theories;
 Celestial mechanics;
 Solar system objects;
 General Relativity and Quantum Cosmology;
 Astrophysics  High Energy Astrophysical Phenomena;
 High Energy Physics  Theory
 EPrint:
 15 pages, accepted for publication in IJMPA