Relativity and Cosmology


The Time Scale of Gravitational Collapse

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 \emph{shell collapsar}. Here the treatment is extended to include the family of interior metrics described by Weinberg, and involving the curvature parameter of a Friedmann metric. The end state is again a shell collapsar, with a shell which becomes more concentrated as the curvature parameter increases, which shows that the details of the shell structure are dependent on the initial density profile at the beginning of the collapse. What is lacking in most previous commentaries on the Oppenheimer-Snyder article is the recognition that their matching of the time coordinate at the surface implies a finite upper limit for the comoving time coordinate. A collapse process having all the matter going inside the gravitational radius would require comoving times which go outside that limit.

Comments: 9 Pages.

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Submission history

[v1] 2018-06-04 05:09:51

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