Polynomial Affine Model of Gravity: After 10 Years

The polynomial affine model of gravity was proposed as an alternative to metric and metric-affine gravitational models. What, in the beginning, was thought to be a source of unpredictability—the presence of many terms in the action—turned out to be a milestone since it contains all possible combinat...

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Main Authors: Oscar Castillo-Felisola, Bastian Grez, Manuel Morocho-López, Jose Perdiguero, Aureliano Skirzewski, Jefferson Vaca-Santana, Nicolas Zambra-Gómez
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Universe
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Online Access:https://www.mdpi.com/2218-1997/11/3/102
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author Oscar Castillo-Felisola
Bastian Grez
Manuel Morocho-López
Jose Perdiguero
Aureliano Skirzewski
Jefferson Vaca-Santana
Nicolas Zambra-Gómez
author_facet Oscar Castillo-Felisola
Bastian Grez
Manuel Morocho-López
Jose Perdiguero
Aureliano Skirzewski
Jefferson Vaca-Santana
Nicolas Zambra-Gómez
author_sort Oscar Castillo-Felisola
collection DOAJ
description The polynomial affine model of gravity was proposed as an alternative to metric and metric-affine gravitational models. What, in the beginning, was thought to be a source of unpredictability—the presence of many terms in the action—turned out to be a milestone since it contains all possible combinations of the fields compatible with the covariance under diffeomorphisms. Here, we present a review of the advances in the analysis of the model after 10 years of its proposal and sketch the guidelines for our future perspectives.
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institution Kabale University
issn 2218-1997
language English
publishDate 2025-03-01
publisher MDPI AG
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series Universe
spelling doaj-art-077f7c92e46d48e8a6a08168e9ca05ad2025-08-20T03:44:03ZengMDPI AGUniverse2218-19972025-03-0111310210.3390/universe11030102Polynomial Affine Model of Gravity: After 10 YearsOscar Castillo-Felisola0Bastian Grez1Manuel Morocho-López2Jose Perdiguero3Aureliano Skirzewski4Jefferson Vaca-Santana5Nicolas Zambra-Gómez6Departamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso 2340000, ChileDepartamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso 2340000, ChileDepartamento de Ciencias Físicas, Facultad de Ciencias Naturales y Matemáticas, Escuela Superior Politécnica del Litoral, km 30,5 Vía Perimetral, Guayaquil 090902, EcuadorDepartamento de Física y Astronomía, Facultad de Ciencias Exactas, Universidad Andres Bello, Sazié 2212, piso 7, Santiago 8370136, ChileInstituto de Física, Facultad de Ciencias, Universidad de la República (Udelar), Iguá 4225, esq. Mataojo, Montevideo 11400, UruguayDepartamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso 2340000, ChileDepartamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso 2340000, ChileThe polynomial affine model of gravity was proposed as an alternative to metric and metric-affine gravitational models. What, in the beginning, was thought to be a source of unpredictability—the presence of many terms in the action—turned out to be a milestone since it contains all possible combinations of the fields compatible with the covariance under diffeomorphisms. Here, we present a review of the advances in the analysis of the model after 10 years of its proposal and sketch the guidelines for our future perspectives.https://www.mdpi.com/2218-1997/11/3/102alternative models of gravityaffine gravitycosmological modelsaffine connectionemergent metriccosmological perturbations
spellingShingle Oscar Castillo-Felisola
Bastian Grez
Manuel Morocho-López
Jose Perdiguero
Aureliano Skirzewski
Jefferson Vaca-Santana
Nicolas Zambra-Gómez
Polynomial Affine Model of Gravity: After 10 Years
Universe
alternative models of gravity
affine gravity
cosmological models
affine connection
emergent metric
cosmological perturbations
title Polynomial Affine Model of Gravity: After 10 Years
title_full Polynomial Affine Model of Gravity: After 10 Years
title_fullStr Polynomial Affine Model of Gravity: After 10 Years
title_full_unstemmed Polynomial Affine Model of Gravity: After 10 Years
title_short Polynomial Affine Model of Gravity: After 10 Years
title_sort polynomial affine model of gravity after 10 years
topic alternative models of gravity
affine gravity
cosmological models
affine connection
emergent metric
cosmological perturbations
url https://www.mdpi.com/2218-1997/11/3/102
work_keys_str_mv AT oscarcastillofelisola polynomialaffinemodelofgravityafter10years
AT bastiangrez polynomialaffinemodelofgravityafter10years
AT manuelmorocholopez polynomialaffinemodelofgravityafter10years
AT joseperdiguero polynomialaffinemodelofgravityafter10years
AT aurelianoskirzewski polynomialaffinemodelofgravityafter10years
AT jeffersonvacasantana polynomialaffinemodelofgravityafter10years
AT nicolaszambragomez polynomialaffinemodelofgravityafter10years