Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-09-28
J.Math.Phys. 42 (2001) 340-346
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages, no figures. To appear in the Journal of Mathematical Physics
Scientific paper
10.1063/1.1328077
Unimodular relativity is a theory of gravity and space-time with a fixed absolute space-time volume element, the modulus, which we suppose is proportional to the number of microscopic modules in that volume element. In general relativity an arbitrary fixed measure can be imposed as a gauge condition, while in unimodular relativity it is determined by the events in the volume. Since this seems to break general covariance, some have suggested that it permits a non-zero covariant divergence of the material stress-energy tensor and a variable cosmological ``constant.'' In Lagrangian unimodular relativity, however, even with higher-derivatives of the gravitational field in the dynamics, the usual covariant continuity holds and the cosmological constant is still a constant of integration of the gravitational field equations.
Baugh James E.
Finkelstein David R.
Galiautdinov Andrei A.
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