On the solutions of the Cartan equation in Metric Affine Gravity
Roberto Mignani (University of Rome III) Roberto Scipioni (University, of British Columbia)
TL;DR
This paper reviews solutions to the Cartan equation within Metric Affine Gravity, demonstrating how a general non-Riemannian model leads to a Proca-like equation for the trace of nonmetricity.
Contribution
It provides new solutions to the Cartan equation in Metric Affine Gravity and connects non-Riemannian models to Proca-type equations for nonmetricity.
Findings
Solutions to the Cartan equation are characterized in the Tucker-Wang approach.
A general non-Riemannian model yields a Proca-type equation for the trace of nonmetricity.
The work clarifies the role of nonmetricity 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.
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