https://doi.org/10.1140/epjc/s10052-021-09938-4
Regular Article - Theoretical Physics
Aspects of the polynomial affine model of gravity in three dimensions
With focus in the cosmological solutions
1
Departamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile
2
Departamento de Matemáticas, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile
3
Facultad de Ciencias, Instituto de Física, Iguá 4225, esq. Mataojo, 11400, Montevideo, Uruguay
Received:
16
July
2021
Accepted:
10
December
2021
Published online:
6
January
2022
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.
© The Author(s) 2022
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