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2020

Non-linear extension of non-metricity scalar for MOND

D'Ambrosio, Fabio, Garg, Mudit, Heisenberg, Lavinia

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General Relativity enjoys the freedom of different geometrical interpretations in terms of curvature, torsion or non-metricity.

Within this geometrical trinity, a simpler geometrical formulation of General Relativity manifests itself in the latter, where gravity is entirely attributed to non-metricity.
In this Letter, we consider non-linear extensions of Coincident General Relativity $f(\mathring{\mathbb{Q}})$ for phenomenological applications on both cosmological as well as galactic scales.
The theory not only delivers dark energy on large scales but also recovers MOND on galactic scales, together with implications for the early universe cosmology.

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L. Heisenberg, “A systematic approach to generalisations of General Relativity and their cosmological implications,” Phys. Rept. 796

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