Some aspects of reconstruction using a scalar field in f (T ) Gravity

Abstract

General relativity characterizes gravity as a geometric property exhibited on spacetime by massive objects while teleparallel gravity achieves the same results, at the level of equations, by taking a torsional perspective of gravity. Similar to f (R) theory, teleparallel gravity can also be generalized to f (T ), with the resulting field equations being inherently distinct from f (R) gravity in that they are second order, while in the former case they turn out to be fourth order. In the present case, a minimally coupled scalar field is investigated in the f (T ) gravity context for several forms of the scalar field potential. A number of new f (T ) solutions are found for these potentials, with their respective state parameters also being examined.

22 pages, 19 figures, to appear in EPJC

References in corpus (7)

• Dynamics of dark energy
• Dark torsion as the cosmic speed-up
• Good and bad tetrads in f(T) gravity
• Theoretical Models of Dark Energy
• Cosmological Solutions of $f(T)$ Gravity
• Dark matter in galaxies
• Self-similar scalar field collapse

Cited by in corpus (7)

• Reconstructing inflation in scalar-torsion $f(T,\varphi )$ gravity
• Post-Newtonian limit of generalized scalar-torsion theories of gravity
• On Reconstruction of Extended Teleparallel Gravity from the Cosmological Jerk Parameter
• Accelerating Cosmological Models in $f(T,B)$ Gravitational Theory
• Inflation and Primordial Fluctuations in $F(T)$ Gravity's Rainbow
• Similarity solutions for the Wheeler-DeWitt equation in $f\left(R\right)$-cosmology
• Dynamics of dark energy in a scalar-vector-torsion theory