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.

arXiv comment22 pages, 19 figures, to appear in EPJC

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Cited by in corpus (18)

• Teleparallel Gravity: From Theory to Cosmology
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Covariant formulation of scalar-torsion gravity
• Scalar-torsion theories of gravity III: analogue of scalar-tensor gravity and conformal invariants
• Scalar-torsion theories of gravity I: general formalism and conformal transformations
• Cosmological dynamics of dark energy in scalar-torsion $f(T,\varphi )$ gravity
• Scalar-torsion theories of gravity II: $L(T,X,Y,\varphi )$ theory
• Reconstructing inflation in scalar-torsion $f(T,\varphi )$ gravity
• Post-Newtonian limit of generalized scalar-torsion theories of gravity
• Post-Newtonian limit of scalar-torsion theories of gravity as analogue to scalar-curvature theories
• On Reconstruction of Extended Teleparallel Gravity from the Cosmological Jerk Parameter
• Accelerating Cosmological Models in $f(T,B)$ Gravitational Theory
• Collapsing spherical star in Scalar-Einstein-Gauss-Bonnet gravity with a quadratic coupling
• Exact Solutions and Accelerating Universe in Modified Brans-Dicke Theories
• Inflation and Primordial Fluctuations in $F(T)$ Gravity's Rainbow
• $f(T)$ Cosmology with Nonzero Curvature
• Similarity solutions for the Wheeler-DeWitt equation in $f\left(R\right)$-cosmology
• Dynamics of dark energy in a scalar-vector-torsion theory