On 'rotating charged AdS solutions in quadratic f(T) gravity': new rotating solutions

Abstract

We show that there are two or more procedures to generalize the known four-dimensional transformation, aiming to generate cylindrically rotating charged exact solutions, to higher dimensional spacetimes. In the one procedure, presented in Eur. Phys. J. C (2019) 79:668, one uses a non-trivial, non-diagonal, Minkowskian metric (eta) over bari j to derive complicated rotating solutions. In the other procedure, discussed in this work, one selects a diagonal Minkowskian metric.i j to derive much simpler and appealing rotating solutions. We also show that if (g mu.,.i j) is a rotating solution then ( (g) over bar mu., (eta) over bar. i j) is a rotating solution too with similar geometrical properties, provided (eta) over bar i j and.i j are related by a symmetric matrix R: (eta) over bar i j = eta ik Rk j.