Functions and Relations for an Evolving Star with Spherical Symmetry

TL;DR

This paper derives simplified equations for an evolving spherically symmetric star, making complex general relativity relations more accessible for educational and research purposes.

Contribution

It presents simplified forms of key equations for evolving stars with spherical symmetry, facilitating understanding and further study in general relativity.

Findings

Simplified equations in light-cone coordinates

Enhanced accessibility for students and researchers

Potential for further theoretical exploration

Abstract

In this paper, we drive and simplify some important equations and relations for an evolving star with spherical symmetry, and then give some simple analysis for their properties and implications. In the light-cone coordinate system, these equations and relations have a normal and neat form which is much accessible than the usual Einstein field equation. So they may be helpful for students to study general relativity and for researchers to do further discussion.