Relativity and Cosmology


The World Lines of a Dust Collapsar

Authors: Trevor W. Marshall

In a previous article it was shown that the end state for the dust metric of Oppenheimer and Snyder has most of its mass concentrated just inside the gravitational radius; it is proposed that the resulting object be considered as an idealized shell collapsar. Here the treatment is extended to include the family of interior metrics described by Choquet-Bruhat. The end state is again a shell collapsar, and its structure depends on the density pro…le at the beginning of the collapse. What is lacking in most previous commentaries on the Oppenheimer- Snyder article is the recognition that Oppenheimer and Snyder matched the time coordinate at the surface, and that implies a …nite upper limit for the comoving time coordinate inside the collapsar. A collapse process having all the matter going inside the gravitational radius would require comoving times which go outside that upper limit.

Comments: 12 Pages.

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Submission history

[v1] 2018-09-18 08:41:11

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