Chaotic Friedmann-Robertson-Walker cosmology
We show that the dynamics of a spatially dosed Friedmann-Robertson-Walker universe conformally coupled to a real, free, massive scalar field, is chaotic, for large enough field amplitudes. We do so by proving that this system is integrable under the adiabatic approximation, but that the correspondin...
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02649381_v10_n9_p1825_Calzetta |
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todo:paper_02649381_v10_n9_p1825_Calzetta2023-10-03T15:13:06Z Chaotic Friedmann-Robertson-Walker cosmology Calzetta, E. El Hasi, C. We show that the dynamics of a spatially dosed Friedmann-Robertson-Walker universe conformally coupled to a real, free, massive scalar field, is chaotic, for large enough field amplitudes. We do so by proving that this system is integrable under the adiabatic approximation, but that the corresponding KAM tori break up when non-adiabatic terms are considered. This finding is confirmed by numerical evaluation of the Lyapunov exponents associated with the system, among other criteria. Chaos sets strong limitations on our ability to predict the value of the field at the big crunch, from its given value at the big bang. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02649381_v10_n9_p1825_Calzetta |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
We show that the dynamics of a spatially dosed Friedmann-Robertson-Walker universe conformally coupled to a real, free, massive scalar field, is chaotic, for large enough field amplitudes. We do so by proving that this system is integrable under the adiabatic approximation, but that the corresponding KAM tori break up when non-adiabatic terms are considered. This finding is confirmed by numerical evaluation of the Lyapunov exponents associated with the system, among other criteria. Chaos sets strong limitations on our ability to predict the value of the field at the big crunch, from its given value at the big bang. |
format |
JOUR |
author |
Calzetta, E. El Hasi, C. |
spellingShingle |
Calzetta, E. El Hasi, C. Chaotic Friedmann-Robertson-Walker cosmology |
author_facet |
Calzetta, E. El Hasi, C. |
author_sort |
Calzetta, E. |
title |
Chaotic Friedmann-Robertson-Walker cosmology |
title_short |
Chaotic Friedmann-Robertson-Walker cosmology |
title_full |
Chaotic Friedmann-Robertson-Walker cosmology |
title_fullStr |
Chaotic Friedmann-Robertson-Walker cosmology |
title_full_unstemmed |
Chaotic Friedmann-Robertson-Walker cosmology |
title_sort |
chaotic friedmann-robertson-walker cosmology |
url |
http://hdl.handle.net/20.500.12110/paper_02649381_v10_n9_p1825_Calzetta |
work_keys_str_mv |
AT calzettae chaoticfriedmannrobertsonwalkercosmology AT elhasic chaoticfriedmannrobertsonwalkercosmology |
_version_ |
1807318889001910272 |