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

TL;DR

This paper explores scalar field solutions within f(T) gravity, a teleparallel alternative to general relativity, deriving new solutions and analyzing their cosmological implications.

Contribution

It introduces new f(T) gravity solutions involving scalar fields and examines their state parameters, expanding understanding of teleparallel gravity models.

Findings

New f(T) solutions for various scalar potentials

Analysis of the state parameters of these solutions

Insights into scalar field behavior in teleparallel 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.