Aspects of the polynomial affine model of gravity in three dimensions

Abstract

The polynomial affine gravity is a model that is built up without the explicit use of a metric tensor field. In this article we reformulate the threedimensional model and, given the decomposition of the affine connection, we analyse the consistently truncated sectors. Using the cosmological ansatz for the connection, we scan the cosmological solutions on the truncated sectors. We discuss the emergence of different kinds of metrics.