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arXiv · 1106.2504

Conformal diagrams for the gravitational collapse of a spherical dust cloud

Néstor Ortiz·Olivier Sarbach
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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.

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Néstor Ortiz, Olivier Sarbach. 2011-10-26. Conformal diagrams for the gravitational collapse of a spherical dust cloud. https://doi.org/10.1088/0264-9381%2F28%2F23%2F235001

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