Some new models of anisotropic relativistic stars in linear and quadratic regime

TL;DR

This paper develops new analytical models of anisotropic charged quark stars in linear and quadratic regimes, solving Einstein-Maxwell equations with specific metric and electric field forms, consistent with observed stellar objects.

Contribution

It introduces novel models of relativistic anisotropic charged stars considering local anisotropy and solves Einstein-Maxwell equations with specific assumptions.

Findings

Models are consistent with observed stellar objects.

Physical variables align with realistic stellar properties.

Solutions demonstrate viability of new anisotropic models.

Abstract

Taking local anisotropy into consideration, in this paper, some new analytical models of relativistic anisotropic charged quark stars in linear and quadratic regime have been developed. The Einstein-Maxwell field equations have been solved with a particular form of metric potential and electric field intensity. The plots generated show that physical variables such as metric potentials, radial pressure, energy density, charge density, anisotropy, radial speed sound are consistent with realistic stellar models. We obtained some models consistent with stellar objects as 4U 1538-52, Cyg X-2, OGLE-TR-122b and red dwarf Proxima Centauri.