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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Publicado: 1993
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02649381_v10_n9_p1825_Calzetta
http://hdl.handle.net/20.500.12110/paper_02649381_v10_n9_p1825_Calzetta
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_02649381_v10_n9_p1825_Calzetta
record_format dspace
spelling paper:paper_02649381_v10_n9_p1825_Calzetta2023-06-08T15:23:17Z 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 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. 1993 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02649381_v10_n9_p1825_Calzetta 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.
title Chaotic Friedmann-Robertson-Walker cosmology
spellingShingle 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
publishDate 1993
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02649381_v10_n9_p1825_Calzetta
http://hdl.handle.net/20.500.12110/paper_02649381_v10_n9_p1825_Calzetta
_version_ 1768542787018424320

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