A conformal Killing extension of Rastall gravity introduces a divergence-free tensor and curvature-linear term as dark sector, restricted by CMB to trace-only coupling, producing dust density evolution ~ a^{-3/(1+tau)} with conserved total EMT.
Barnes,Harada-Maxwell static spherically symmetric spacetimes, (2023), arXiv: 2311.09171 [gr.qc]
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Non conservative conformal Killing gravity: coupling the dark sector with curvature and matter
A conformal Killing extension of Rastall gravity introduces a divergence-free tensor and curvature-linear term as dark sector, restricted by CMB to trace-only coupling, producing dust density evolution ~ a^{-3/(1+tau)} with conserved total EMT.