Tolman-Oppenheimer-Volkoff Equations and their implications or the structures of relativistic Stars in f(T) gravity

TL;DR

This paper explores how f(T) gravity modifies the structure of neutron and quark stars by analyzing TOV equations and comparing mass-radius relations with observational data.

Contribution

It introduces the TOV equations within f(T) gravity and investigates their impact on relativistic star structures using numerical methods.

Findings

f(T) gravity can enhance star structures for certain parameters

Mass-radius diagrams deviate from GR predictions in f(T) models

Results align with observational data for specific f(T) models

Abstract

We investigate in this paper the structures of neutron and quark stars in f(T) theory of gravity where T denotes the torsion scalar. Attention is attached to the TOV type equations of this theory and numerical integrations of these equations are performed with suitable EoS. We search for the deviation of the mass-radius diagrams for power-law and exponential type correction from the TT gravity. Our results show that for some values of the input parameters appearing in the considered models, f(T) theory promotes more the structures of the relativistic stars, in consistency with the observational data.