arXiv subjects

José Perdiguero

Publications and source records attributed to José Perdiguero.

3 recordsLinked to original sources

arXiv2022

Polynomial affine gravity in 3+1 dimensions

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.

gr-qc↗

arXiv2021

Aspects of the polynomial affine model of gravity in three dimensions

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.

gr-qc↗

arXiv2019

Cosmological solutions to polynomial affine gravity in the torsion-free sector

We find possible cosmological models of the Polynomial Affine Gravity described by connections that are either compatible or not with a metric. When possible, we compare them with those of General Relativity. We show that the set of cosmological vacuum solutions in General Relativity are a subset of the solutions of Polynomial Affine Gravity. In our model the cosmological constant appears as an integration constant, and additionally, we show that some forms of matter can be emulated by the affine structure---even in the metric compatible case. In the case of connections not compatible with a metric, we obtain formal families of solutions, which should be constrained by physical arguments. We show that for a certain parametrisation of the connection, the affine Ricci flat condition yield the cosmological field equations of General Relativity coupled with a perfect fluid, pointing toward a geometrical emulation of---what is interpreted in General Relativity as---matter effects.

gr-qc↗