Modeling compact stars without numerical integration

TL;DR

This paper presents an algebraic method to model the structure of compact stars like white dwarfs and neutron stars without using numerical integration, making it accessible for educational purposes.

Contribution

It introduces a simple parametrization approach to derive global properties of compact stars analytically, bypassing complex numerical methods.

Findings

Derived algebraic relationships for star properties

Applicable to white dwarfs and neutron stars

Simplifies understanding of stellar structure

Abstract

Taking a novel approach, this paper discuss the structure of compact stars, an important topic in theoretical astrophysics. Adopting the Newtonian gravitation, we solve the hydrostatic equilibrium equation by imposing a simple parametrization for the mass density inside the star. The solutions of the equilibrium equation are carried out without numerical integration, with the aim of determining few global properties of white dwarfs and neutron stars. The global properties of compact stars are thus provided by simple algebraic relationships. The model is intended as an introductory approach to the study of compact stars at the undergraduate or graduate levels.