Tidal acceleration of autoparallels in metric-affine gravity separates into Newtonian gravity plus linear post-Riemannian corrections from torsion and nonmetricity that can be decomposed into irreducible Lorentz components.
Observable traces of non-metricity: new constraints on metric-affine gravity
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abstract
Relaxing the Riemannian condition to incorporate geometric quantities such as torsion and non-metricity may allow to explore new physics associated with defects in a hypothetical space-time microstructure. Here we show that non-metricity produces observable effects in quantum fields in the form of 4-fermion contact interactions, thereby allowing us to constrain the scale of non-metricity to be greater than 1 TeV by using results on Bhabha scattering. Our analysis is carried out in the framework of a wide class of theories of gravity in the metric-affine approach. The bound obtained represents an improvement of several orders of magnitude to previous experimental constraints.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Tidal Forces in the Presence of Torsion and Nonmetricity
Tidal acceleration of autoparallels in metric-affine gravity separates into Newtonian gravity plus linear post-Riemannian corrections from torsion and nonmetricity that can be decomposed into irreducible Lorentz components.