The Influence of Initial Conditions during Dissipative Collapse

TL;DR

This paper compares the collapse dynamics of two different static stellar core models, revealing that initial conditions influence temperature evolution but not horizon formation or mass evolution.

Contribution

It introduces a comparative analysis of collapse behavior starting from Florides and Wyman interior models, highlighting the impact of initial conditions on temperature profiles.

Findings

Horizon formation time is independent of initial conditions.

Mass and proper radius evolution are unaffected by initial static configurations.

Temperature profiles differ significantly during collapse.

Abstract

Starting off with two distinct initially static stellar cores (i) Florides interior (constant density, vanishing radial pressure) and (ii) Wyman interior (constant density, nonvanishing radial pressure), we explore the dynamics of these two models once hydrostatic equilibrium is lost. We show that although the time of formation of horizon, evolution of the mass and proper radius are independent of the chosen initially static configurations, there is a significant difference in the temperature profiles of the radiating bodies as the collapse proceeds.