Gravitational theories with nonzero divergence of the energy-momentum tensor
Abstract
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.
- Publication:
-
Physical Review D
- Pub Date:
- July 1975
- DOI:
- 10.1103/PhysRevD.12.376
- Bibcode:
- 1975PhRvD..12..376S
- Keywords:
-
- Einstein Equations;
- Energy Transfer;
- Gravitation Theory;
- Momentum Theory;
- Tensors;
- Field Theory (Physics);
- Gauge Invariance;
- Lunar Rangefinding;
- Metric Space;
- Newton Theory;
- Astrophysics