Midisuperspace foam and the cosmological constant

Abstract

Wheeler's conjectured "spacetime foam" -- large quantum fluctuations of spacetime at the Planck scale -- could have important implications for quantum gravity, perhaps even explaining why the cosmological constant seems so small. Here I explore this problem in a midisuperspace model consisting of metrics with local spherical symmetry. Classically, an infinite class of ``foamy'' initial data can be constructed, in which cancellations between expanding and contracting regions lead to a small average expansion even if $\Lambda$ is large. Quantum mechanically, the model admits corresponding stationary states, for which the probability current is also nearly zero. These states appear to describe a self-reproducing spacetime foam with very small average expansion, effectively hiding the cosmological constant.

20 pages; v2: added discussion of meaning of integration constant, reduced phase space quantization

References in corpus (4)

• Gluing Initial Data Sets for General Relativity
• Intrinsic time gravity and the Lichnerowicz-York equation
• Designer de Sitter Spacetimes
• What does Birkhoff's theorem really tell us?

Cited by in corpus (1)

• Spacetime foam: a review