Relativistic gravitational collapse in non-comoving coordinates: The post-quasistatic approximation

TL;DR

This paper introduces an iterative method for modeling the evolution of self-gravitating relativistic spheres, justified through a post-quasistatic approximation, and demonstrates its application with three adiabatic models.

Contribution

It presents a new iterative approach for describing relativistic gravitational collapse using a post-quasistatic approximation, with practical model examples.

Findings

Method successfully models evolving relativistic spheres.

Three adiabatic models demonstrate the approach's effectiveness.

The approach provides a clear framework for future studies.

Abstract

A general, iterative, method for the description of evolving self-gravitating relativistic spheres is presented. Modeling is achieved by the introduction of an ansatz, whose rationale becomes intelligible and finds full justification within the context of a suitable definition of the post--quasistatic approximation. As examples of application of the method we discuss three models, in the adiabatic case.