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Weyl-Invariant Gravity and the Nature of Dark Matter

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arxiv 2012.04472 v2 pith:G445EWVP submitted 2020-12-06 gr-qc astro-ph.COastro-ph.GAhep-ph

Weyl-Invariant Gravity and the Nature of Dark Matter

classification gr-qc astro-ph.COastro-ph.GAhep-ph
keywords darkgradientsgravitationalmassmatterpotentialweyl-invariantactive
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The apparent missing mass in galaxies and galaxy clusters, commonly viewed as evidence for dark matter, could possibly originate from gradients in the gravitational coupling parameter, $G$, and active gravitational mass, $M_{act}$, rather than hypothetical beyond-the-standard-model particles. We argue that in (the weak field limit of) a Weyl-invariant extension of General Relativity, one can simply affect the change $\Phi_{b}(x)\rightarrow\Phi_{b}(x) + \Phi_{DM}(x)$, where $\Phi_{b}$ is the baryon-sourced potential and $\Phi_{DM}$ is the `excess' potential. This is compensated by gradients of $GM_{act}$ and a fractional increase of $O(-4\Phi_{DM}(x))$ in the baryon density, well below current detection thresholds on all relevant scales.

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