Polynomial affine model of gravity in three-dimensions

Autor:	Castillo-Felisola, Oscar, Grez, Bastian, Orellana, Oscar, Perdiguero, Jose, Ramirez, Francisca, Skirzewski, Aureliano, Zerwekh, Alfonso R.
Rok vydání:	2022
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics Mathematics - Differential Geometry
Zdroj:	Universe 2022, 8(2), 68
Druh dokumentu:	Working Paper
DOI:	10.3390/universe8020068
Popis:	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 \emph{decisions tree}. We also show a few of these explicit solutions that allow the definition of (alternative/emergent) metrics derived from the connection. Comment: 14 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.12030 Zobrazit plný text záznamu View this record from Arxiv