Closed spherically symmetric massless scalar field spacetimes have finite lifetimes

Abstract

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.

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

References in corpus (1)

• Recollapse of the closed Tolman spacetimes

Cited by in corpus (4)

• Factor ordering in standard quantum cosmology
• Lifetimes of spherically symmetric closed universes
• Just how long can you live in a black hole and what can be done about it?
• Recollapsing spacetimes with $\Lambda <0$