Properties of collapse dynamics in relativistic theory of gravitation in the case of smooth initial matter distributions

TL;DR

This paper investigates the dynamics of gravitational collapse within the relativistic theory of gravitation, analyzing how initial conditions, matter properties, and graviton mass influence collapse behavior through numerical and analytical methods.

Contribution

It provides new insights into collapse dynamics in RTG, including effects of graviton mass and pressure, with detailed analysis of the turning point during collapse.

Findings

Dependence of turning point time on graviton mass

Influence of pressure on collapse dynamics

Characteristics of static solutions in RTG

Abstract

We use both numerical and analytical approaches to study the dynamics of the gravitational collapse in the framework of the relativistic theory of gravitation (RTG). We use various equations of state for the collapsing matter and relatively realistic initial conditions with smooth matter distribution, which corresponds to static solution for the given equation of state. We also obtain results concerning the influence of the graviton mass on the properties of static solutions. We specify several characteristics of the process of the collapse, in particular, we determine the dependence of the turning point time (when contraction is replaced by inflation) on the graviton mass. We also study the influence of non-zero pressure on the dynamics of the collapse.