Gravitational theories with nonzero divergence of the energy-momentum tensor

Details Gravitational theories with nonzero divergence of the energy-momentum tensor Gravitational theories with nonzero divergence of the energy-momentum tensor

Jul 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975phrvd..12..376s&link_type=abstract

Physical Review D - Particles and Fields, 3rd Series, vol. 12, July 15, 1975, p. 376-384.

Physics

18

Einstein Equations, Energy Transfer, Gravitation Theory, Momentum Theory, Tensors, Field Theory (Physics), Gauge Invariance, Lunar Rangefinding, Metric Space, Newton Theory

Scientific paper

Assuming that the divergence of the energy-momentum tensor is nonzero leads to a class of theories with consistent field equations and gauge conditions as well as compatibility with the Newtonian limit of the conservation laws. Both the Einstein and the Brans-Dicke theories are used as models, but the extension to other viable theories such as vector-metric and two-metric theories is possible. One particularly interesting theory emerges that agrees with the ordinary Brans-Dicke theory except for the post-Newtonian parameter zeta2, which predicts nonconservation of total momentum. Unfortunately, no accurate experimental limits for this parameter are known. It thus remains for future experiments in lunar-laser ranging to test this theory.

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