Conformal diagrams for the gravitational collapse of a spherically symmetric dust cloud

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 collaps...

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Bibliographic Details
Published inarXiv.org
Main Authors Ortiz, Néstor, Sarbach, Olivier
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 19.04.2012
Subjects
Algorithms
Clouds
Dust
Geodesy
Gravitational collapse
Numerical integration
Physics - General Relativity and Quantum Cosmology
Relativity
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1204.4499