Parametrized post-Newtonian approximation and Rastall's gravitational field equations
The parametrized post-Newtonian (PPN) approximation is generalized to accomodate Rastall's modification of Einstein's theory of gravity, which allows nonzero divergence of the energy-momentum tensor. Rastall's theory is then shown to have consistent field equations, gauge conditions, and the correct Newtonian limit of the equations of motion. The PPN parameters are obtained and shown to agree experimentally with those for the Einstein theory. In light of the nonzero divergence condition, integral conservation laws are investigated and shown to yield conserved energy-momentum and angular-momentum. We conclude that the above generalization of metric theories, within the PPN framework, is a natural extension of the concept of metric theories.
- Research Organization:
- Department of Physics, University of Alabama in Huntsville, Huntsville, Alabama
- OSTI ID:
- 5037459
- Journal Information:
- Found. Phys.; (United States), Journal Name: Found. Phys.; (United States) Vol. 8:1; ISSN FNDPA
- Country of Publication:
- United States
- Language:
- English
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