Evolution of relativistic polytropes in the post--quasi--static regime

TL;DR

This paper applies a new method to study the evolution of relativistic polytropes, comparing two definitions and analyzing collapsing models to highlight their differences in a relativistic context.

Contribution

It introduces a novel approach for modeling evolving relativistic polytropes and compares two definitions, providing explicit examples of collapsing scenarios.

Findings

Different relativistic polytrope definitions yield similar Newtonian limits

Explicit models of collapsing polytropes are developed

Differences between the two polytrope types are highlighted in collapse scenarios

Abstract

A recently presented method for the study of evolving self-gravitating relativistic spheres is applied to the description of the evolution of relativistic polytropes. Two different definitions of relativistic polytrope, yielding the same Newtonian limit, are considered. Some examples are explicitly worked out, describing collapsing polytropes and bringing out the differences between both types of polytropes.