KFU. Card publication. Yurii Ignat'ev. Macroscopic Einstein Equations for a Cosmological Model with λ-term // arXiv:1509.01235v1 [gr-qc]

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YURII IGNAT'EV. MACROSCOPIC EINSTEIN EQUATIONS FOR A COSMOLOGICAL MODEL WITH λ-TERM // ARXIV:1509.01235V1 [GR-QC]

Form of presentation

Articles in international journals and collections

Year of publication

2015

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Authors, employees of KFU

Ignatev Yuriy Gennadievich, author

Bibliographic description in the original language

Yurii Ignat'ev. Macroscopic Einstein Equations for a Cosmological Model with λ-term // arXiv:1509.01235v1 [gr-qc]

Annotation

Through averaging the Einstein equations over transverse gravitational perturbations it is obtained a closed system of two ordinary differential equations describing macroscopic cosmological evolution of the isotropic space-flat Universe filled with gravitational radiation. It is found an asymptotic solution of evolution equation for gravitational perturbation amplitude. Making the substitution of this solution into Einstein equation averaged over gravitational perturbations, the single evolution non-linear ordinary differential second-order equation relative to macroscopic scale factor is obtained. It is also found a solution of evolution equation for scale factor in WKB-approximation which analytically describes the process of transformation from ultrarelativistic regime of cosmological extension to inflationary one.

Keywords

macroscopic Einstein equations, transverse gravitational per- turbations, evolutions equations, inflation

The name of the journal

arXiv: General Relativity and Quantum Cosmology

URL

http://www.arXiv:1509.01235v1 [gr-qc]

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

https://repository.kpfu.ru/eng/?p_id=112024&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Ignatev Yuriy Gennadievich	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	Yurii Ignat'ev. Macroscopic Einstein Equations for a Cosmological Model with λ-term // arXiv:1509.01235v1 [gr-qc]	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=112024&p_lang=2	ru_RU
dc.description.abstract	arXiv: General Relativity and Quantum Cosmology	ru_RU
dc.description.abstract	Through averaging the Einstein equations over transverse gravitational perturbations it is obtained a closed system of two ordinary differential equations describing macroscopic cosmological evolution of the isotropic space-flat Universe filled with gravitational radiation. It is found an asymptotic solution of evolution equation for gravitational perturbation amplitude. Making the substitution of this solution into Einstein equation averaged over gravitational perturbations, the single evolution non-linear ordinary differential second-order equation relative to macroscopic scale factor is obtained. It is also found a solution of evolution equation for scale factor in WKB-approximation which analytically describes the process of transformation from ultrarelativistic regime of cosmological extension to inflationary one.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	macroscopic Einstein equations	ru_RU
dc.subject	transverse gravitational per- turbations	ru_RU
dc.subject	evolutions equations	ru_RU
dc.subject	inflation	ru_RU
dc.title	Yurii Ignat'ev. Macroscopic Einstein Equations for a Cosmological Model with λ-term // arXiv:1509.01235v1 [gr-qc]	ru_RU
dc.type	Articles in international journals and collections	ru_RU