On exponential cosmological type solutions in the model with Gauss-Bonnet term and variation of gravitational constant

A D-dimensional gravitational model with Gauss-Bonnet term is considered. When ansatz with diagonal cosmological type metrics is adopted, we find solutions with exponential dependence of scale factors (with respect to "synchronous-like" variable) which describe an exponential expansion of...

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Bibliographic Details
Published inarXiv.org
Main Authors Ivashchuk, V D, Kobtsev, A A
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 02.10.2016
Subjects
Dependence
Gravitation
Gravitational constant
Infinite series
Physics - General Relativity and Quantum Cosmology
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Summary:A D-dimensional gravitational model with Gauss-Bonnet term is considered. When ansatz with diagonal cosmological type metrics is adopted, we find solutions with exponential dependence of scale factors (with respect to "synchronous-like" variable) which describe an exponential expansion of "our" 3-dimensional factor-space and obey the observational constraints on the temporal variation of effective gravitational constant G. Among them there are two exact solutions in dimensions D = 22, 28 with constant G and also an infinite series of solutions in dimensions D \ge 2690 with the variation of G obeying the observational data.
Bibliography:IGC-PFUR/15-02-01-rev-cor
ISSN:2331-8422
DOI:10.48550/arxiv.1503.00860