Closed spherically symmetric massless scalar field spacetimes have finite lifetimes

Details Closed spherically symmetric massless scalar field spacetimes have finite lifetimes Closed spherically symmetric massless scalar field spacetimes have finite lifetimes

1994-04-26

arxiv.org/abs/gr-qc/9404049v1

Phys.Rev.D50:6158-6164,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages (uuencoded postscript file), NCSU-MP-9401

Scientific paper

10.1103/PhysRevD.50.6158

The closed-universe recollapse conjecture is studied for a class of closed spherically symmetric spacetimes which includes those having as a matter source: (1) a massless scalar field; (2) a perfect fluid obeying the equation of state $\rho = P$; and (3) null dust. It is proven that all timelike curves in any such spacetime must have length less than $6 \max_\Sigma(2m)$, where $m$ is the mass associated with the spheres of symmetry and $\Sigma$ is any Cauchy surface for the spacetime. The simplicity of this result leads us to conjecture that a similar bound can be established for the more general spherically symmetric spacetimes.

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