Rotating charged AdS solutions in quadratic f(T) gravity
Abstract
We present a class of asymptotically anti-de Sitter charged rotating black hole solutions in f(T) gravity in N-dimensions, where f(T)=T+α T2. These solutions are nontrivial extensions of the solutions presented in Lemos:1994xp and Awad:2002cz in the context of general relativity. They are characterized by cylindrical, toroidal or flat horizons, depending on global identifications. The static charged black hole configurations obtained in Awad:2017tyz are recovered as special cases when the rotation parameters vanish. Similar to Awad:2017tyz the static black holes solutions have two different electric multipole terms in the potential with related moments. Furthermore, these solutions have milder singularities compared to their general relativity counterparts. Using the conserved charges expressions obtained in Ulhoa:2013gca and Maluf:2008ug we calculate the total mass/energy and the angular momentum of these solutions.
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