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Cosmic Censorship Upheld in Spheroidal Collapse of Collisionless Matter · Around

2019

Cosmic Censorship Upheld in Spheroidal Collapse of Collisionless Matter

East, William E.

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We study the collapse of spheroidal configurations of collisionless particles in full general relativity.

This setup was originally considered by Shapiro and Teukolsky (1991), where it was found that prolate configurations with a sufficiently large semimajor axis gave rise to diverging curvature, but no apparent horizon.
This was taken as evidence for the formation of a naked singularity, in violation of cosmic censorship.
We revisit such configurations using different coordinates/slicing, and considering a range of values for the semimajor axis and eccentricity of the initial matter distribution, and find that the final state in all cases studied is a black hole plus gravitational radiation.

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