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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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8 pages, 4 figures, prepared for the proceedings of the VIII Mexican School of the Gravitational and Mathematical Physics Divi

Scientific paper

10.1063/1.3473876

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.

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