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Review

Polynomial Affine Model of Gravity in Three-Dimensions

1
Departamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, Chile
2
Centro Científico Tecnológico de Valparaíso, Casilla 110-V, Chile
3
Departamento de Matemáticas, Universidad Técnica Federico Santa María, Casilla 110-V, Chile
4
Instituto de Física, Facultad de Ciencias Iguá 4225, esq. Mataojo, Montevideo 11400, Uruguay
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editors: Mariusz P. Dąbrowski, Adam Balcerzak and Vincenzo Salzano
Universe 2022, 8(2), 68; https://doi.org/10.3390/universe8020068
Received: 16 December 2021 / Revised: 15 January 2022 / Accepted: 20 January 2022 / Published: 23 January 2022
(This article belongs to the Special Issue Alternative Gravities and Fundamental Cosmology)
In this work, we explore a three-dimensional formulation of the polynomial affine model of gravity, which is a model that extends general relativity by relaxing the equivalence principle through the exclusion of the metric from the set of fundamental fields. In particular, in an attempt to gain insight of the role of the torsion and nonmetricity in the gravitational models, we consider homogeneous and isotropic cosmological models, for which their solutions are classified in a decisions tree. We also show a few of these explicit solutions that allow the definition of (alternative/emergent) metrics derived from the connection. View Full-Text
Keywords: alternative models of gravity; affine gravity; cosmological models; three-dimensional gravity; exact solutions alternative models of gravity; affine gravity; cosmological models; three-dimensional gravity; exact solutions
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MDPI and ACS Style

Castillo-Felisola, O.; Grez, B.; Orellana, O.; Perdiguero, J.; Ramirez, F.; Skirzewski, A.; Zerwekh, A.R. Polynomial Affine Model of Gravity in Three-Dimensions. Universe 2022, 8, 68. https://doi.org/10.3390/universe8020068

AMA Style

Castillo-Felisola O, Grez B, Orellana O, Perdiguero J, Ramirez F, Skirzewski A, Zerwekh AR. Polynomial Affine Model of Gravity in Three-Dimensions. Universe. 2022; 8(2):68. https://doi.org/10.3390/universe8020068

Chicago/Turabian Style

Castillo-Felisola, Oscar, Bastian Grez, Oscar Orellana, Jose Perdiguero, Francisca Ramirez, Aureliano Skirzewski, and Alfonso R. Zerwekh. 2022. "Polynomial Affine Model of Gravity in Three-Dimensions" Universe 8, no. 2: 68. https://doi.org/10.3390/universe8020068

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