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Trapped surfaces in Oppenheimer-Snyder black holes

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arxiv 1306.6486 v1 pith:57BRU6DQ submitted 2013-06-27 gr-qc

Trapped surfaces in Oppenheimer-Snyder black holes

classification gr-qc
keywords cloudregiontrappedblackoppenheimer-snydersurfacesvacuumboundary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Oppenheimer-Snyder solution models a homogeneous round dust cloud collapsing to a black hole. Inside its event horizon there is a region through which trapped surfaces pass. We try to determine exactly where the boundary of this region meets the centre of the cloud. We present explicit examples of the relevant trapped (topological) spheres; they extend into the exterior vacuum region, and are carefully matched at the junction between the cloud and the vacuum.

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