Gravitational Collapse of Dust with a Cosmological Constant

TL;DR

This paper extends previous work on dust gravitational collapse by including inhomogeneous and degenerate cases under a cosmological constant, analyzing their evolution with effective potential and Penrose-Carter diagrams.

Contribution

It introduces a comprehensive analysis of inhomogeneous and degenerate dust collapse with a cosmological constant, expanding on prior homogeneous models.

Findings

Inhomogeneous dust collapse behaviors are characterized.

Degenerate cases exhibit unique evolution patterns.

Effective potential and Penrose-Carter diagrams illustrate the dynamics.

Abstract

The recent analysis of Markovic and Shapiro on the effect of a cosmological constant on the evolution of a spherically symmetric homogeneous dust ball is extended to include the inhomogeneous and degenerate cases. The histories are shown by way of effective potential and Penrose-Carter diagrams.