A new model for spherically symmetric charged compact stars of embedding class one

TL;DR

This paper introduces a new relativistic model for charged, spherically symmetric compact stars of embedding class one, which generalizes previous models and aligns with observational constraints.

Contribution

The study develops a novel stellar model incorporating charge and spherical symmetry within a specific embedding class, extending existing solutions with new physical features.

Findings

Model reduces to electromagnetic mass model when A=0

Metric function approaches known form as n tends to infinity

Physical features are consistent with observational data

Abstract

In the present study we search for a new stellar model with spherically symmetric matter and charged distribution under general relativistic framework. The model represents a compact star of embedding class one. The solutions obtain here are general in their nature having the following two features: firstly, the metric becomes flat and also the expressions for the pressure, energy density and electric charge become zero in all the cases if we consider the constant $A=0$, which shows that our solutions represent the so-called `electromagnetic mass model' \cite{Lorentz1904}, and secondly, the metric function $\nu(r)$, for the limit $n$ tends to infinity, converts to $\nu(r)=C{r}^{2}+ ln~B$, which is the same as considered by Maurya et al. \cite{Maurya2015a}. We have investigated several physical aspects of the model and find that all the features are acceptable within the demand of the contemporary theoretical studies and observational evidences.