Realistic compact stars in conformal teleparallel gravity

Abstract

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 with a unit value through the surface of a compact object. Furthermore, we apply the present model to the pulsar 4U 1608−52 with an approximate radius R = 9.52 ± 0.15 km and mass $M= 1.74 \pm 0.14\, \mathrm{M}_{\odot }$. To analyze the stability, we also study the causality conditions and the adiabatic index by assuming the Tolman–Oppenheimer–Volkoff equation, an adiabatic index, and the static state. Moreover, the consistency of the model under consideration with other pulsars is investigated.