# Generating physically realizable stellar structures via embedding

## TL;DR

This paper introduces an exact solution to Einstein-Maxwell equations for charged stellar objects, using a novel embedding method, which aligns well with observed neutron star and pulsar data.

## Contribution

The authors develop a new embedding-based approach to generate physically realistic charged stellar models within general relativity.

## Key findings

- Model satisfies all physical and stability conditions.
- Accurately approximates observed neutron star and pulsar properties.
- Provides a new exact solution to Einstein-Maxwell equations.

## Abstract

In this work we present an exact solution of the Einstein-Maxwell field equations describing compact, charged objects within the framework of classical general relativity. Our model is constructed by embedding a four-dimensional spherically symmetric static metric into a five dimensional flat metric. The source term for the matter field is composed of a perfect fluid distribution with charge. We show that our model obeys all the physical requirements and stability conditions necessary for a realistic stellar model. Our theoretical model approximates observations of neutron stars and pulsars to a very good degree of accuracy.