Singularities, initial and boundary problems for the Tolman-Bondi model

TL;DR

This paper formulates the boundary problem for the Tolman-Bondi model and establishes a direct link between singularity hypersurfaces and initial conditions, advancing understanding of gravitational collapse.

Contribution

It introduces a novel formulation of the boundary problem and clarifies the relationship between singularities and initial data in the Tolman-Bondi model.

Findings

Boundary problem for the Tolman-Bondi model is formulated.

A one-to-one correspondence between singularity hypersurfaces and initial conditions is established.

Provides a framework for analyzing gravitational collapse in this model.

Abstract

Boundary problem for Tolman-Bondi model is formulated. One-to-one correspondence between singularities hypersurfaces and initial conditions of the Tolman-Bondi model is constructed.