A new class of viable and exact solutions of EFE's with Karmarkar conditions: An application to cold star modeling

TL;DR

This paper introduces a new class of exact solutions to Einstein's field equations for modeling compact stars, utilizing Karmarkar conditions to simplify the gravitational equations and produce physically realistic stellar models.

Contribution

It develops a novel theoretical framework applying Karmarkar conditions to generate exact solutions for compact star interiors within general relativity.

Findings

Model accurately describes specific compact stars like PSR J1614-2230.

Solutions satisfy physical conditions for realistic stellar structures.

Provides a robust gravitational potential form for modeling stars.

Abstract

In this work we present a theoretical framework within Einstein's classical general relativity which models stellar compact objects such as PSR J1614-2230 and SAX J1808.4-3658. The Einstein field equations are solved by assuming that the interior of the compact object is described by a class I spacetime. The so-called Karmarkar condition arising from this requirement is integrated to reduce the gravitational behaviour to a single generating function. By appealing to physics we adopt a form for the gravitational potential which is sufficiently robust to accurately describe compact objects. Our model satisfies all the requirements for physically realistic stellar structures.