Radiating fluid spheres in the effective variables approximation

TL;DR

This paper investigates the evolution of radiating fluid spheres using the effective variables method in Schwarzschild coordinates, comparing two models based on classical solutions through numerical integration.

Contribution

It introduces an implementation of the effective variables method for radiating spheres and compares its results with traditional models using numerical simulations.

Findings

Successful numerical integration of models at the surface

Comparison between effective variables method and classical solutions

Validation of the method's applicability to different models

Abstract

We study the evolution of spherically symmetric radiating fluid distributions using the effective variables method, implemented {\it ab initio} in Schwarzschild coordinates. To illustrate the procedure and to establish some comparison with the original method, we integrate numerically the set of equations at the surface for two different models. The first model is derived from the Schwarzschild interior solution. The second model is inspired in the Tolman VI solution.