A viable form of the metric Teleparallel F(T) theory of gravity

Abstract

Unlike F(R) gravity, pure metric F(T) gravity in the vacuum dominated era, ends up with an imaginary action and is therefore not feasible. This eerie situation may only be circumvented by associating a scalar field, which can also drive inflation in the very early universe. We show that, despite diverse claims, F(T) theory admits Noether symmetry only in the pressure-less dust era in the form F(T) proportional to the nth power of T, n being odd integers. A suitable form of F(T), admitting a viable Friedmann-like radiation dominated era, together with early deceleration and late-time accelerated expansion in the pressure-less dust era, has been proposed.

12 pages, 0 figures

References in corpus (24)

• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• On Born-Infeld Gravity in Weitzenbock spacetime
• Cosmological perturbations in f(T) gravity
• Observational constraints on $f(T)$ theory
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Degrees of freedom of $f(T)$ gravity
• Observational information for f(T) theories and Dark Torsion
• Cosmological Solutions of $f(T)$ Gravity
• Conformal transformation in $f(T)$ theories
• Static Solutions with Spherical Symmetry in f(T) Theories
• Cosmological applications of $F(T,T_G)$ gravity
• Dark energy and dust matter phases from an exact $f(R)$-cosmology model
• Noether symmetry in $f(R)$ cosmology
• Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis
• Conserved Quantities in $f(R)$ Gravity via Noether Symmetry
• Dynamical systems analysis in $f(T,\varphi )$ gravity
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• Born-Infeld and Charged Black Holes with non-linear source in $f(T)$ Gravity
• Noether symmetry in $f(T)$ teleparallel gravity
• Modified theory of gravity and the history of cosmic evolution
• Inflation with F(T) Teleparallel Gravity
• Revisiting conserved currents in F(R) theory of gravity via Noether symmetry

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