Spherically Symmetric Solutions on a Non-Trivial Frame in f(T) Theories of Gravity

TL;DR

This paper derives new spherically symmetric solutions in f(T) gravity, analyzing their energy conditions and physical implications, thus advancing understanding of non-trivial frame solutions in modified gravity theories.

Contribution

It introduces novel solutions with constant torsion in f(T) gravity and explores their physical properties and energy conditions.

Findings

Solutions satisfy weak and null energy conditions under certain restrictions.

New models with specific pressure conditions are obtained.

The physical relevance of these solutions is discussed.

Abstract

A new solution with constant torsion is derived using the field equations of f(T). Asymptotic forms of energy density, radial and transversal pressures are shown to meet the standard energy conditions, i.e., weak and null energy conditions according to some restrictions on T0, f(T0) and fT(T0). Other solutions are obtained for vanishing radial pressure and for specific choices of f(T). The physics relevant to the resulting models is discussed.