Rastall's and related theories are conservative gravitational theories although physically inequivalent to general relativity

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, , Citation L L Smalley 1983 J. Phys. A: Math. Gen. 16 2179 DOI 10.1088/0305-4470/16/10/014

0305-4470/16/10/2179

Abstract

The author shows the following: (1) the proper framework for testing Rastall's theory and its generalisations is in the case of non-negligible (i.e. discernible) gravitational effects such as gravity gradients; (2) these theories have conserved integral four-momentum and angular momentum; and (3) the Nordtvedt effect then provides limits on the parameters which arise as the result of the non-zero divergence of the energy-momentum tensor.

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10.1088/0305-4470/16/10/014