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arXiv · 2107.07209

Aspects of the polynomial affine model of gravity in three dimensions

Oscar Castillo-Felisola·Oscar Orellana·José Perdiguero·Francisca Ramírez·Aureliano Skirzewski·Alfonso R. Zerwekh
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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.

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Oscar Castillo-Felisola, Oscar Orellana, José Perdiguero, Francisca Ramírez, Aureliano Skirzewski, Alfonso R. Zerwekh. 2021-07-15. Aspects of the polynomial affine model of gravity in three dimensions. https://doi.org/10.1140/epjc%2Fs10052-021-09938-4

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