Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-05-18
Phys.Lett. A193 (1994) 21-24
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LATEX, 6pages, slightly corrected and enlarged version, to appear in Phys. Lett. A
Scientific paper
10.1016/0375-9601(94)00651-2
We investigate the class of ultralocal metrics on the configuration space of canonical gravity. It is described by a parameter $\alpha$, where $\alpha=0.5$ corresponds to general relativity. For $\alpha$ 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 $\alpha$ must lie between $0.4$ and $0.55$.
Giulini Domenico
Kiefer Claus
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