Generalized Teleparallel Theory

Abstract

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 $f(\bar{R})$ 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 $f(\bar{R})$ 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 ${\omega }_{DE}$ and for the thermodynamics to the apparent horizon.

15 pages. arXiv admin note: text overlap with arXiv:1503.07427, arXiv:1503.07857

References in corpus (20)

• f(R,T) gravity
• Modified teleparallel gravity: inflation without inflaton
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• The teleparallel equivalent of general relativity
• Cosmological perturbations in f(T) gravity
• Construction of cosmologically viable f(G) gravity models
• Modified teleparallel theories of gravity
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Generalizations of teleparallel gravity and local Lorentz symmetry
• $f(T)$ models with phantom divide line crossing
• Degrees of freedom of $f(T)$ gravity
• Growth factor in f(T) gravity
• Observational information for f(T) theories and Dark Torsion
• Spherical symmetry in $f(R)$-gravity
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Conformal transformation in $f(T)$ theories
• Static Solutions with Spherical Symmetry in f(T) Theories
• Anisotropic Universe Models in f(T) Gravity
• Cosmological evolution in exponential gravity
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models

Cited by in corpus (7)

• New observational constraints on f(T) gravity from cosmic chronometers
• Regular black holes in $f(R)$ gravity coupled to nonlinear electrodynamics
• Spontaneous Lorentz symmetry-breaking constraints in Kalb-Ramond gravity
• Spherical Accretion of Matter by Charged Black Holes on f(T) Gravity
• Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity
• Solar system tests for realistic $f(T)$ models with nonminimal torsion-matter coupling
• Reheating in a modified teleparallel model of inflation