Geometric acceleration in $f(Q,C)$ theories

Fuente: arXiv
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Auteurs principaux: Artola, Mikel, Ayuso, Ismael, Lazkoz, Ruth, Olmo, Gonzalo, Salzano, Vincenzo
Format: Preprint
Publié: 2025
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author Artola, Mikel
Ayuso, Ismael
Lazkoz, Ruth
Olmo, Gonzalo
Salzano, Vincenzo
author_facet Artola, Mikel
Ayuso, Ismael
Lazkoz, Ruth
Olmo, Gonzalo
Salzano, Vincenzo
contents The $f(Q,C)$ framework of gravity enables the depiction of an effective dark energy fluid that emerges from geometry itself, thus leading to modifications in the cosmological phenomenology of General Relativity. We pursue this approach to discover new and observationally supported (effective) evolving dark energy models. We propose a general $f(Q,C)$ formulation that cannot be simply split into separate functions of $Q$ and $C$, yet it still results in second-order field equations. By employing a particular type of connection, we derive guidelines for new cosmological models, including a variant of the DGP model that appears to be statistically favored over $Λ$CDM. Notably, we also demonstrate how to translate solutions within this $f(Q,C)$ framework to $f(Q)$ counterparts at the background level.
format Preprint
id arxiv_https___arxiv_org_abs_2510_27415
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Geometric acceleration in $f(Q,C)$ theories
Artola, Mikel
Ayuso, Ismael
Lazkoz, Ruth
Olmo, Gonzalo
Salzano, Vincenzo
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
The $f(Q,C)$ framework of gravity enables the depiction of an effective dark energy fluid that emerges from geometry itself, thus leading to modifications in the cosmological phenomenology of General Relativity. We pursue this approach to discover new and observationally supported (effective) evolving dark energy models. We propose a general $f(Q,C)$ formulation that cannot be simply split into separate functions of $Q$ and $C$, yet it still results in second-order field equations. By employing a particular type of connection, we derive guidelines for new cosmological models, including a variant of the DGP model that appears to be statistically favored over $Λ$CDM. Notably, we also demonstrate how to translate solutions within this $f(Q,C)$ framework to $f(Q)$ counterparts at the background level.
title Geometric acceleration in $f(Q,C)$ theories
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2510.27415