Realistic compact stars in conformal teleparallel gravity

TL;DR

This paper develops a new model of compact stars within conformal teleparallel gravity, matching observed pulsar data and analyzing stability through causality and adiabatic index considerations.

Contribution

It introduces a novel interior solution for compact stars in conformal teleparallel gravity, consistent with observed pulsars and includes stability analysis.

Findings

Configurations match observed pulsar data

Model satisfies causality and stability conditions

Consistent with multiple pulsar observations

Abstract

We explore an interior solution of a physically symmetric vierbein with two unknown functions in conformal teleparallel gravity. The field equations can be described in a closed system for a particular form of the metric potentials and an appropriate anisotropic function. As a result, we find a new set of configurations consistent with observed pulsars. In particular, the boundary conditions for the interior spacetime are used for the Schwarzschild spacetime to constrain the conformal field that with a unit value through the surface of a compact object. Furthermore, we apply the present model to the pulsar $4U1608-52$ with approximated radius $R= 9.52 \pm 0.15$ km and mass $M= 1.74 \pm 0.14\, M_{\circledcirc}$. To analyze the stability, we also study the causality conditions and the adiabatic index by assuming the Tolman-Oppenheimer-Volkov equation, adiabatic index and the static state. Moreover, the consistency of the model under consideration with other pulsars is investigated.