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Rastall gravity is equivalent to Einstein gravity

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arxiv 1711.11500 v3 pith:NHFCKL4C submitted 2017-11-30 gr-qc

classification gr-qc
keywords gravityrastallstress-energyeinsteintensorcompletelyequivalentmatter
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Rastall gravity, originally developed in 1972, is currently undergoing a significant surge in popularity. Rastall gravity purports to be a modified theory of gravity, with a non-conserved stress-energy tensor, and an unusual non-minimal coupling between matter and geometry, the Rastall stress-energy satisfying nabla_b [T_R]^{ab} = {\lambda/4} g^{ab} nabla_b R. Unfortunately, a deeper look shows that Rastall gravity is completely equivalent to Einstein gravity --- usual general relativity. The gravity sector is completely standard, based as usual on the Einstein tensor, while in the matter sector Rastall's stress-energy tensor corresponds to an artificially isolated part of the physical conserved stress-energy.

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Cited by 2 Pith papers

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    gr-qc 2022-05 conditional novelty 5.0 of 10

    EHT observations of Sgr A* constrain deviations from GR black hole solutions including regular BHs, string-inspired spacetimes, and BH mimickers, with some limits exceeding cosmological bounds.

  2. The Kiselev black hole is neither perfect fluid, nor is it quintessence

    gr-qc 2019-08 accept novelty 3.0 of 10

    The Kiselev black hole's stress-energy is anisotropic, so it is neither a perfect fluid nor standard quintessence, despite a large literature saying otherwise.

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