Quintessence in the Weyl-Gauss-Bonnet model

Fuente: arXiv
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Autori principali: Díaz, José Jaime Terente, Dimopoulos, Konstantinos, Karčiauskas, Mindaugas, Racioppi, Antonio
Natura: Preprint
Pubblicazione: 2023
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author Díaz, José Jaime Terente
Dimopoulos, Konstantinos
Karčiauskas, Mindaugas
Racioppi, Antonio
author_facet Díaz, José Jaime Terente
Dimopoulos, Konstantinos
Karčiauskas, Mindaugas
Racioppi, Antonio
contents Quintessence models have been widely examined in the context of scalar-Gauss-Bonnet gravity, a subclass of Horndeski's theory, and were proposed as viable candidates for Dark Energy. However, the relatively recent observational constraints on the speed of gravitational waves $c_{\textrm{GW}}$ have resulted in many of those models being ruled out because they predict $c_{\textrm{GW}} \neq c$ generally. While these were formulated in the metric formalism of gravity, we put forward a new quintessence model with the scalar-Gauss-Bonnet action but in Weyl geometry, where the connection is not metric compatible. We find the fixed points of the dynamical system under some assumptions and determine their stability via linear analysis. The past evolution of the Universe can be reproduced correctly, but the late Universe constraints on $c_{\textrm{GW}}$ are grossly violated. Moreover, at these later stages tensor modes suffer from the gradient instabilities. We also consider the implications of imposing an additional constraint $c_{\textrm{GW}} = c$, but this does not lead to evolution that is consistent with cosmological observations
format Preprint
id arxiv_https___arxiv_org_abs_2310_08128
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quintessence in the Weyl-Gauss-Bonnet model
Díaz, José Jaime Terente
Dimopoulos, Konstantinos
Karčiauskas, Mindaugas
Racioppi, Antonio
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
Quintessence models have been widely examined in the context of scalar-Gauss-Bonnet gravity, a subclass of Horndeski's theory, and were proposed as viable candidates for Dark Energy. However, the relatively recent observational constraints on the speed of gravitational waves $c_{\textrm{GW}}$ have resulted in many of those models being ruled out because they predict $c_{\textrm{GW}} \neq c$ generally. While these were formulated in the metric formalism of gravity, we put forward a new quintessence model with the scalar-Gauss-Bonnet action but in Weyl geometry, where the connection is not metric compatible. We find the fixed points of the dynamical system under some assumptions and determine their stability via linear analysis. The past evolution of the Universe can be reproduced correctly, but the late Universe constraints on $c_{\textrm{GW}}$ are grossly violated. Moreover, at these later stages tensor modes suffer from the gradient instabilities. We also consider the implications of imposing an additional constraint $c_{\textrm{GW}} = c$, but this does not lead to evolution that is consistent with cosmological observations
title Quintessence in the Weyl-Gauss-Bonnet model
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2310.08128