Conformal diagrams for the gravitational collapse of a spherically symmetric dust cloud
General Relativity and Quantum Cosmology
2012-04-23 v1
Abstract
We present an algorithm for the construction of conformal coordinates in the interior of a spherically symmetric, collapsing matter cloud in general relativity. This algorithm is based on the numerical integration of radial null geodesics. As an application we generate conformal diagrams for collapsing spherical dust clouds and analyze the causal structure of the resulting spacetimes.
Keywords
Cite
@article{arxiv.1204.4499,
title = {Conformal diagrams for the gravitational collapse of a spherically symmetric dust cloud},
author = {Néstor Ortiz and Olivier Sarbach},
journal= {arXiv preprint arXiv:1204.4499},
year = {2012}
}
Comments
8 pages, 4 figures, prepared for the proceedings of the VIII Mexican School of the Gravitational and Mathematical Physics Division of the Mexican Physical Society