English

Aspects of the polynomial affine model of gravity in three dimensions

General Relativity and Quantum Cosmology 2022-01-26 v1 High Energy Physics - Theory Mathematical Physics math.MP

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 three-dimensional 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.

Keywords

Cite

@article{arxiv.2107.07209,
  title  = {Aspects of the polynomial affine model of gravity in three dimensions},
  author = {Oscar Castillo-Felisola and Oscar Orellana and José Perdiguero and Francisca Ramírez and Aureliano Skirzewski and Alfonso R. Zerwekh},
  journal= {arXiv preprint arXiv:2107.07209},
  year   = {2022}
}

Comments

29 pages, 3 figures, EPJC format