Abstract
In this report, we will give the first constraints on in-matter nonmetricity. We will show how the effective-field-theory (EFT) toolbox developed for the study of Lorentz violation (LV) can be employed for investigations of the “effective LV” background caused by nonmetricity, a geometric object extending the notion of a Riemannian manifold. The idea is to probe for the effects of spacetime nonmetricity sourced by liquid 4He with polarized slow neutrons. We present the first constraints on isotropic and parity-odd nonmetricity components. Further constraints on anisotropic nonmetricity components within this EFT framework may be feasible with proper experimental techniques in the near future.
Highlights
IntroductionThe celebrated observation in 2016 of gravitational waves by the LIGO and Virgo Scientific
The celebrated observation in 2016 of gravitational waves by the LIGO and Virgo ScientificCollaboration [1] has once more underscored the widely held belief that the geometry of spacetime is a dynamical physical entity
We will show how the effective-field-theory (EFT) toolbox developed for the study of Lorentz violation (LV) can be employed for investigations of the “effective LV” background caused by nonmetricity, a geometric object extending the notion of a Riemannian manifold
Summary
The celebrated observation in 2016 of gravitational waves by the LIGO and Virgo Scientific. Some characteristic LV signals, like sidereal and annual variations of physical observables [7], which stem from the motion of Earth-based laboratories through such solar torsion or nonmetricity backgrounds, may be used to constrain these tensor fields. This idea has already been studied extensively for torsion backgrounds [8] including in-matter torsion effects [9].
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