Wheeler-Dewitt Metric and the Attractivity of Gravity

1994/05/31 by Domenico Giulini, D. Giulini, C. Kiefer +1 · 3 citations
Physics and Astronomy · #gr-qc

paper · pdf · doi:10.1016/0375-9601(94)00651-2

published as Phys.Lett. A193 (1994) 21-24 · LATEX, 6pages, slightly corrected and enlarged version, to appear in Phys. Lett. A

arxiv created 1994/09/08 · arxiv updated 2009/11/30

Abstract

We investigate the class of ultralocal metrics on the configuration space of canonical gravity. It is described by a parameter α, where α=0.5 corresponds to general relativity. For α less than a critical value the signature is positive definite, while for all other values it is indefinite. We show that in the positive definite case gravity becomes repulsive. From the primordial helium abundance we find that α must lie between 0.4 and 0.55.

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