Observational Constraints in Metric-Affine Gravity

TL;DR

This paper investigates how metric-affine gravity, which includes torsion and nonmetricity, affects classical gravitational tests by analyzing observational data from star S2 and Sirius B to constrain these effects.

Contribution

It derives classical gravitational tests within metric-affine gravity and constrains torsion and nonmetricity effects using observational data.

Findings

Torsion and nonmetricity corrections are constrained by perihelion precession data.

Gravitational redshift measurements limit the effects of non-Riemannian geometry.

Results provide bounds on deviations from General Relativity in metric-affine theories.

Abstract

We derive the main classical gravitational tests for a recently found vacuum solution with spin and dilation charges in the framework of Metric-Affine gauge theory of gravity. Using the results of the perihelion precession of the star S2 by the GRAVITY collaboration and the gravitational redshift of Sirius B white dwarf we constrain the corrections provided by the torsion and nonmetricity fields for these effects.