2015/09/30 by Ednaldo L. B. Junior, Manuel E. Rodrigues · 1 citation
Physics and Astronomy · #gr-qc #astro-ph.CO #hep-th
paper · pdf · doi:10.1140/epjc/s10052-016-4220-8
published as Eur. Phys. J. C (2016) 76:376 · 15 pages. arXiv admin note: text overlap with arXiv:1503.07427, arXiv:1503.07857
arxiv created 2016/07/06 · arxiv updated 2016/07/07
We construct a theory in which the gravitational interaction is described only by torsion, but that generalizes the Teleparallel Theory still keeping the invariance of local Lorentz transformations in one particular case. We show that our theory falls, to a certain limit of a real parameter, in the f(R) Gravity or, to another limit of the same real parameter, in a modified f(T) Gravity, interpolating between these two theories and still can fall on several other theories. We explicitly show the equivalence with f(R) Gravity for cases of Friedmann-Lemaitre-Robertson-Walker flat metric for diagonal tetrads, and a metric with spherical symmetry for diagonal and non-diagonal tetrads. We do still four applications, one in the reconstruction of the de Sitter universe cosmological model, for obtaining a static spherically symmetric solution type-de Sitter for a perfect fluid, for evolution of the state parameter ωDE and for the thermodynamics to the apparent horizon.