Dark Energy Compact Stars in Extended Teleparallel Gravity

Abstract

This paper presents the study of dark-energy compact stars in the context of modified Rastall teleparallel gravity. It is the first time that dark energy celestial phenomena have been explored in this modified gravitational theory. Employing the torsion-based functions, $f(T)$ and $h(T)$, we analyzed their effects in a spherically symmetric spacetime chosen as the interior geometry, while using the Schwarzschild geometry as an outer spacetime. In this study, we explored various dark energy stellar properties, including dark energy pressure components, energy conditions, and equation of state components. Our findings reveal that the observed negative behavior of these stellar properties served as compelling evidence, validating the presence of dark energy in stellar configurations. Detailed investigations of the energy conditions, pressure profiles, sound speeds, TOV equation, adiabatic index, gradients, mass function, compactness, and redshift function forecasts a comprehensive assessment, affirming the acceptability and realism of the investigated stellar configuration.