KFU. Card publication. Macroscopic Einstein Equations for a Cosmological Model with a λ Term

KAZAN
FEDERAL UNIVERSITY

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MACROSCOPIC EINSTEIN EQUATIONS FOR A COSMOLOGICAL MODEL WITH A λ TERM

Form of presentation

Articles in international journals and collections

Year of publication

2016

Язык

русский

Authors, employees of KFU

Ignatev Yuriy Gennadievich, author

Bibliographic description in the original language

Yu. G. Ignat'ev. Macroscopic Einstein Equations for a Cosmological Model with a λ Term //Gravitation and Cosmology, 2016, Vol. 22, No. 3, pp. 264–269.

Annotation

By averaging the Einstein equations over transverse gravitational perturbations we obtain a closed set of two ordinary differential equations describing the macroscopic cosmological evolution of the isotropic spatially flat Universe filled with gravitational radiation. We have found an asymptotic solution of the evolution equation for the gravitational perturbation amplitude. Substituting this solution to the Einstein equations averaged over gravitational perturbations, we obtain a single nonlinear ordinary differential second-order evolution equation with respect to the macroscopic scale factor. We have also found a solution of the evolution equation for the scale factor in the WKB approximation which analytically describes the process of transformation from the ultrarelativistic mode of cosmological expansion to an inflationary one.

Keywords

gravitation, cosmology, averaging, local fluctuations of metric, macroscopic Einsten Equations

The name of the journal

Gravitation and Cosmology

URL

http://link.springer.com/article/10.1134/S0202289316030075

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=133907&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Ignatev Yuriy Gennadievich	ru_RU
dc.date.accessioned	2016-01-01T00:00:00Z	ru_RU
dc.date.available	2016-01-01T00:00:00Z	ru_RU
dc.date.issued	2016	ru_RU
dc.identifier.citation	Yu. G. Ignat'ev. Macroscopic Einstein Equations for a Cosmological Model with a λ Term //Gravitation and Cosmology, 2016, Vol. 22, No. 3, pp. 264–269.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=133907&p_lang=2	ru_RU
dc.description.abstract	Gravitation and Cosmology	ru_RU
dc.description.abstract	By averaging the Einstein equations over transverse gravitational perturbations we obtain a closed set of two ordinary differential equations describing the macroscopic cosmological evolution of the isotropic spatially flat Universe filled with gravitational radiation. We have found an asymptotic solution of the evolution equation for the gravitational perturbation amplitude. Substituting this solution to the Einstein equations averaged over gravitational perturbations, we obtain a single nonlinear ordinary differential second-order evolution equation with respect to the macroscopic scale factor. We have also found a solution of the evolution equation for the scale factor in the WKB approximation which analytically describes the process of transformation from the ultrarelativistic mode of cosmological expansion to an inflationary one.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	gravitation	ru_RU
dc.subject	cosmology	ru_RU
dc.subject	averaging	ru_RU
dc.subject	local fluctuations of metric	ru_RU
dc.subject	macroscopic Einsten Equations	ru_RU
dc.title	Macroscopic Einstein Equations for a Cosmological Model with a λ Term	ru_RU
dc.type	Articles in international journals and collections	ru_RU