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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Autores principales: Calzetta, E., El Hasi, C.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02649381_v10_n9_p1825_Calzetta
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spelling 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
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