Weyl-Invariant Gravity and the Nature of Dark Matter

Abstract

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 ${\Phi }_b(x)\to {\Phi }_b(x)+{\Phi }_{DM}(x)$, where ${\Phi }_b$ is the baryon-sourced potential and ${\Phi }_{DM}$ is the `excess' potential. This is compensated by gradients of $G{M}_{act}$ 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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References in corpus (12)

• A direct empirical proof of the existence of dark matter
• Dark Matter Candidates from Particle Physics and Methods of Detection
• Primordial Black Holes as Dark Matter
• Primordial Black Holes as Dark Matter: Recent Developments
• Precise Relic WIMP Abundance and its Impact on Searches for Dark Matter Annihilation
• A new measurement of the antiproton-to-proton flux ratio up to 100 GeV in the cosmic radiation
• Ultra-Light Dark Matter
• Dark Matter Evidence, Particle Physics Candidates and Detection Methods
• Impact of a global quadratic potential on galactic rotation curves
• Cosmological perturbations in mimetic matter model
• English and Spanish Translation of Zwicky's (1933) The Redshift of Extragalactic Nebulae
• Anthropics of Aluminum-26 Decay and Biological Homochirality

Cited by in corpus (1)

• Possible Resolution of the Hubble Tension with Weyl Invariant Gravity