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arXiv · 2212.07975

Polynomial affine gravity in 3+1 dimensions

José Perdiguero·Oscar Castillo-Felisola
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Abstract

The polynomial affine gravity is an alternative model of gravity whose fundamental field is the affine connection, and it is invariant under the complete group of diffeomorphisms. In 3+1 dimensions the field equations generalise those of Einstein--Hilbert, the coupling constants are dimensionless, the action has a finite numbers of term, and although the action does not involve a (fundamental) metric, some metric tensor fields might \emph{emerge} from the connection. Provided a cosmological ansatz, the properties of diverse cosmological models are discussed.

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José Perdiguero, Oscar Castillo-Felisola. 2022-12-15. Polynomial affine gravity in 3+1 dimensions. https://arxiv.org/abs/2212.07975

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