Stellar objects in the quadratic regime

TL;DR

This paper develops a model for charged anisotropic relativistic stars using a quadratic equation of state, exploring how nonlinear effects influence stellar properties and matching observed data like PSR J1614-2230.

Contribution

It introduces an exact solution to the Einstein-Maxwell system incorporating a quadratic equation of state, including effects of charge, anisotropy, and nonlinearity in stellar modeling.

Findings

Masses and radii can be matched with linear models

Nonlinear equation of state affects matter distribution

Charge and anisotropy influence stellar structure

Abstract

We model a charged anisotropic relativistic star with a quadratic equation of state. Physical features of an exact solution of the Einstein-Maxwell system are studied by incorporating the effect of the nonlinear term from the equation of state. It is possible to regain the masses, radii and central densities for a linear equation of state in our analysis. We generate masses for stellar compact objects and perform a detailed study of PSR J1614-2230 in particular. We also show the influence of the nonlinear equation of state on physical features of the matter distribution. We demonstrate that it is possible to incorporate the effects of charge, anisotropy and a quadratic term in the equation of state in modelling a compact relativistic body.