2015/03/24 by Ednaldo L. B. Junior, Manuel E. Rodrigues, Mahouton J. S. Houndjo · 2 citations
Physics and Astronomy · #gr-qc #hep-th
paper · pdf · doi:10.1088/1475-7516/2015/06/037
published as JCAP06(2015)037 · 18 pages, revtex4 format
arxiv created 2015/03/24 · arxiv updated 2015/06/25
We investigate f(T) theory coupled with a nonlinear source of electrodynamics, for a spherically symmetric and static spacetime in 4D. We re-obtain the Born-Infeld and Reissner-Nordstrom-AdS solutions. We generalize the no-go theorem for any content that obeys the relationship T 00=T 11 for the energy-momentum tensor and a given set of tetrads. Our results show new classes of solutions where the metrics are related through b(r)=-Na(r). We do the introductory analysis showing that solutions are that of asymptotically flat black holes, with a singularity at the origin of the radial coordinate, covered by a single event horizon. We also reconstruct the action for this class of solutions and obtain the functional form f(T) = f0(-T)(N+3)/[2(N+1)] and LNED = L0(-F)(N+3)/[2(N+1)]. Using the Lagrangian density of Born-Infeld, we obtain a new class of charged black holes where the action reads f(T) = -16βBI [1 - √1 + (T/4βBI)].