Conformal diagrams for the gravitational collapse of a spherical dust cloud
General Relativity and Quantum Cosmology
2014-06-17 v2
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 the radial null geodesics and a local analysis of their behavior close to the singularity. As an application, we consider a collapsing spherical dust cloud, generate the corresponding conformal diagram and analyze the structure of the resulting singularity. A new bound on the initial data which guarantees that the singularity is visible from future null infinity is also obtained.
Keywords
Cite
@article{arxiv.1106.2504,
title = {Conformal diagrams for the gravitational collapse of a spherical dust cloud},
author = {Néstor Ortiz and Olivier Sarbach},
journal= {arXiv preprint arXiv:1106.2504},
year = {2014}
}
Comments
added a new subsection with a phase space analysis, 23 pages, 8 figures