On the solutions of the Cartan equation in Metric Affine Gravity

Abstract

In the Tucker-Wang approach to Metric Affine gravity we review some particular solutions of the Cartan equation for the non-riemannian part of the connection. As application we show how a quite general non Riemannian model gives a Proca type equation for the trace of the nonmetricity 1-forms Q.

To appear in General Relativity and Gravitation

References in corpus (3)

• Metric-affine gauge theory of gravity II. Exact solutions
• Dark Matter Gravitational Interactions
• On the extension of the Obukhov theorem in non-Riemannian gravity I