Exact Bianchi type I models for an exponential-potential scalar field

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A non-local transformation is used to linearize the evolution equation for Bianchi type I universes filled with an exponential-potential scalar field. Among the many new explicit solutions there is a family which shows, for different parameter ranges, the two generic asymptotic behaviours that were...

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Autores principales: Aguirregabiria, J.M., Chimento, L.P.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02649381_v13_n12_p3197_Aguirregabiria
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_02649381_v13_n12_p3197_Aguirregabiria2023-10-03T15:13:07Z Exact Bianchi type I models for an exponential-potential scalar field Aguirregabiria, J.M. Chimento, L.P. A non-local transformation is used to linearize the evolution equation for Bianchi type I universes filled with an exponential-potential scalar field. Among the many new explicit solutions there is a family which shows, for different parameter ranges, the two generic asymptotic behaviours that were previously found in numerical and qualitative analyses. A simpler expression for the general solution allows a better insight into the problem and reveals a damped oscillatory behaviour which corresponds to an effective negative cosmological constant. We are also now able to discuss the existence of initial and final singularities. We found families of explicit singular solutions which represent universes which after evolving from a singularity reach a final anisotropic or isotropic Friedmann-Robertson-Walker stage. There are also solutions which avoid the initial singularity and others with a finite time span. © 1996 IOP Publishing Ltd. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02649381_v13_n12_p3197_Aguirregabiria
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description A non-local transformation is used to linearize the evolution equation for Bianchi type I universes filled with an exponential-potential scalar field. Among the many new explicit solutions there is a family which shows, for different parameter ranges, the two generic asymptotic behaviours that were previously found in numerical and qualitative analyses. A simpler expression for the general solution allows a better insight into the problem and reveals a damped oscillatory behaviour which corresponds to an effective negative cosmological constant. We are also now able to discuss the existence of initial and final singularities. We found families of explicit singular solutions which represent universes which after evolving from a singularity reach a final anisotropic or isotropic Friedmann-Robertson-Walker stage. There are also solutions which avoid the initial singularity and others with a finite time span. © 1996 IOP Publishing Ltd.
format JOUR
author Aguirregabiria, J.M.
Chimento, L.P.
spellingShingle Aguirregabiria, J.M.
Chimento, L.P.
Exact Bianchi type I models for an exponential-potential scalar field
author_facet Aguirregabiria, J.M.
Chimento, L.P.
author_sort Aguirregabiria, J.M.
title Exact Bianchi type I models for an exponential-potential scalar field
title_short Exact Bianchi type I models for an exponential-potential scalar field
title_full Exact Bianchi type I models for an exponential-potential scalar field
title_fullStr Exact Bianchi type I models for an exponential-potential scalar field
title_full_unstemmed Exact Bianchi type I models for an exponential-potential scalar field
title_sort exact bianchi type i models for an exponential-potential scalar field
url http://hdl.handle.net/20.500.12110/paper_02649381_v13_n12_p3197_Aguirregabiria
work_keys_str_mv AT aguirregabiriajm exactbianchitypeimodelsforanexponentialpotentialscalarfield
AT chimentolp exactbianchitypeimodelsforanexponentialpotentialscalarfield
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