# A parametric model to study the mass radius relationship of stars

## TL;DR

This paper introduces a parametric model based on Einstein-Maxwell equations to analyze the mass-radius relationship of charged anisotropic stars, linking theoretical parameters to observable stellar properties.

## Contribution

The study develops a new parametric framework to model stellar mass-radius relationships, incorporating charge and anisotropy effects in Einstein-Maxwell solutions.

## Key findings

- Mass-radius relationship depends on two free parameters.
- Model can represent stars across different Hertzsprung-Russell diagram regions.
- Stability criteria constrain parameter choices.

## Abstract

In static and spherically symmetric spacetime, we solve the Einstein Maxwell equations. The effective gravitational potential and the electric field for charged anisotropic fluid are defined in terms of two free parameters. For such configuration, the mass of the star as a function of stellar radius is found in terms of two aforementioned parameters, subjected to certain stability criteria. For various values of these two parameters one finds that such mass radius relationship can model stellar objects located at various regions of Hertzsprung-Russel diagram.