Kaluza-Klein cosmology with N dilaton fields

The ground state for Kaluza-Klein cosmological models with more than one dilaton field is considered. The dimensional reduction is performed and the equations of motion for the dilaton fields are considered. The normal modes of oscillation are found, one of them, ψ, being the conformai factor in fro...

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Publicado: 1989
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v21_n11_p1177_Berezin
http://hdl.handle.net/20.500.12110/paper_00017701_v21_n11_p1177_Berezin
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00017701_v21_n11_p1177_Berezin
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spelling paper:paper_00017701_v21_n11_p1177_Berezin2023-06-08T14:21:31Z Kaluza-Klein cosmology with N dilaton fields The ground state for Kaluza-Klein cosmological models with more than one dilaton field is considered. The dimensional reduction is performed and the equations of motion for the dilaton fields are considered. The normal modes of oscillation are found, one of them, ψ, being the conformai factor in front of the metric for the true four-dimensional space-time. It is shown that a stable minimum exists when both the cosmological term and all the scalar curvatures of the extra-dimensional subspaces are negative. If all these scalar curvatures are positive, the extra-dimensional subspaces collapse and the quantum effects should be taken into account to stabilize them. All other combinations of the signs of scalar curvatures lead to decompactification of some of the subspaces. Some cosmological applications are discussed. One of them concerns the possibility of constructing Big-Bang cosmological models starting from a nonsingular higher-dimensional space-time. © 1989 Plenum Publishing Corporation. 1989 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v21_n11_p1177_Berezin http://hdl.handle.net/20.500.12110/paper_00017701_v21_n11_p1177_Berezin
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The ground state for Kaluza-Klein cosmological models with more than one dilaton field is considered. The dimensional reduction is performed and the equations of motion for the dilaton fields are considered. The normal modes of oscillation are found, one of them, ψ, being the conformai factor in front of the metric for the true four-dimensional space-time. It is shown that a stable minimum exists when both the cosmological term and all the scalar curvatures of the extra-dimensional subspaces are negative. If all these scalar curvatures are positive, the extra-dimensional subspaces collapse and the quantum effects should be taken into account to stabilize them. All other combinations of the signs of scalar curvatures lead to decompactification of some of the subspaces. Some cosmological applications are discussed. One of them concerns the possibility of constructing Big-Bang cosmological models starting from a nonsingular higher-dimensional space-time. © 1989 Plenum Publishing Corporation.
title Kaluza-Klein cosmology with N dilaton fields
spellingShingle Kaluza-Klein cosmology with N dilaton fields
title_short Kaluza-Klein cosmology with N dilaton fields
title_full Kaluza-Klein cosmology with N dilaton fields
title_fullStr Kaluza-Klein cosmology with N dilaton fields
title_full_unstemmed Kaluza-Klein cosmology with N dilaton fields
title_sort kaluza-klein cosmology with n dilaton fields
publishDate 1989
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v21_n11_p1177_Berezin
http://hdl.handle.net/20.500.12110/paper_00017701_v21_n11_p1177_Berezin
_version_ 1768546138056556544

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