Gauss-Bonnet dynamical compactification scenarios and their ghosts in the tensor sectors

Fuente: arXiv
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Autores principales: De Felice, Antonio, Larrouturou, François
Formato: Preprint
Publicado: 2024
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author De Felice, Antonio
Larrouturou, François
author_facet De Felice, Antonio
Larrouturou, François
contents In a cosmological context, the Einstein-Gauss-Bonnet theory contains, in $d+4$ dimensions, a dynamical compactification scenario in which the additional dimensions settle down to a configuration with a constant radion/scale factor. Sadly however this work demonstrates that such a quite appealing framework is plagued by instabilities, either from the background configuration's unsteadiness or the ghostly behaviors of the tensorial perturbations. New and stable solutions are found by relaxing one of the hypotheses defining the original compactification scenario. However, such configurations do not respect the current bounds on the speed of propagation of gravitational waves, and thus have to be discarded. Those results thus advocate for a comprehensive study of compactification scenarios in the Gauss-Bonnet framework, their stability, and the effects of matter inclusion.
format Preprint
id arxiv_https___arxiv_org_abs_2411_16983
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gauss-Bonnet dynamical compactification scenarios and their ghosts in the tensor sectors
De Felice, Antonio
Larrouturou, François
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
In a cosmological context, the Einstein-Gauss-Bonnet theory contains, in $d+4$ dimensions, a dynamical compactification scenario in which the additional dimensions settle down to a configuration with a constant radion/scale factor. Sadly however this work demonstrates that such a quite appealing framework is plagued by instabilities, either from the background configuration's unsteadiness or the ghostly behaviors of the tensorial perturbations. New and stable solutions are found by relaxing one of the hypotheses defining the original compactification scenario. However, such configurations do not respect the current bounds on the speed of propagation of gravitational waves, and thus have to be discarded. Those results thus advocate for a comprehensive study of compactification scenarios in the Gauss-Bonnet framework, their stability, and the effects of matter inclusion.
title Gauss-Bonnet dynamical compactification scenarios and their ghosts in the tensor sectors
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
url https://arxiv.org/abs/2411.16983