Spherically symmetric electromagnetic mass models of embedding class one

TL;DR

This paper develops three new electromagnetic mass models within a spherically symmetric embedding class one spacetime, demonstrating their physical viability and consistency with compact star observations.

Contribution

It introduces three novel electromagnetic mass models dependent solely on electromagnetic fields, with solutions validated against physical tests and compact star data.

Findings

Models pass all physical tests conducted.

Solutions vanish when charge is zero.

Models are consistent with observed compact stars.

Abstract

In this article we consider the static spherically symmetric spacetime metric of embedding class one. Specifically three new electromagnetic mass models are derived where the solutions are entirely dependent on the electromagnetic field, such that the physical parameters, like density, pressure etc. do vanish for the vanishing charge. We have analyzed schematically all these three sets of solutions related to electromagnetic mass models by plotting graphs and shown that they can pass through all the physical tests performed by us. To validate these special type of solutions related to electromagnetic mass models a comparison has been done with that of compact stars and shown exclusively the feasibility of the models.