Recollapse of the closed Tolman spacetimes

Details Recollapse of the closed Tolman spacetimes Recollapse of the closed Tolman spacetimes

1993-08-05

arxiv.org/abs/gr-qc/9308003v1

Phys.Rev. D48 (1993) 5688-5696

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, REVTeX, NCSU-MP-9301

Scientific paper

10.1103/PhysRevD.48.5688

The closed-universe recollapse conjecture is studied for the spherically
symmetric spacetimes. It is proven that there exists an upper bound to the
lengths of timelike curves in any Tolman spacetime that possesses $S^3$ Cauchy
surfaces and whose energy density is positive. Furthermore, an explicit bound
is constructed from the initial data for such a spacetime.

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