Zobrazeno 1 - 10 of 110 pro vyhledávání: '"A T Filippov"'
1
A fresh view of cosmological models describing very early universe: General solution of the dynamical equations
Autor: A. T. Filippov
Publikováno v: Physics of Particles and Nuclei Letters. 14:298-303
The dynamics of any spherical cosmology with a scalar field (`scalaron') coupling to gravity is described by the nonlinear second-order differential equations for two metric functions and the scalaron depending on the `time' parameter. The equations
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::505f1df5448aaea5cbc70487321f3d86
https://doi.org/10.1134/s1547477117020091
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2
Integrals of equations for cosmological and static reductions in generalized theories of gravity
Autor: A. T. Filippov
Publikováno v: Physics of Particles and Nuclei Letters. 11:844-853
We consider the dilaton gravity models derived by reductions of generalized theories of gravity and study one-dimensional dynamical systems simultaneously describing cosmological and static states in any gauge. Our approach is fully applicable to stu
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0379ac82ceb5dbcb68a8874c345ff63
https://doi.org/10.1134/s1547477114070176
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3
Dilaton-scalar models in the context of generalized affine gravity theories: Their properties and integrability
Autor: A. T. Filippov, E. A. Davydov
Publikováno v: Gravitation and Cosmology. 19:209-218
Nowadays it is widely accepted that the evolution of the universe was driven by some scalar degrees of freedom both on its early stage and at present. The corresponding cosmological models often involve some scalar fields introduced ad hoc. In this p
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::624b8d2fbcc79be77314f794f64821d0
https://doi.org/10.1134/s0202289313040051
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5
Affine generalizations of gravity in the light of modern cosmology
Autor: A. T. Filippov
Publikováno v: Proceedings of the Steklov Institute of Mathematics. 272:107-118
We discuss new models of an `affine' theory of gravity in multidimensional space-times with symmetric connections. We use and develop ideas of Weyl, Eddington, and Einstein, in particular, Einstein's proposal to specify the space - time geometry by u
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71e8c7d89159d42c4cf784d06847b4b7
https://doi.org/10.1134/s008154381101010x
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8
Binary Lie algebras satisfying the third Engel condition
Autor: V. T. Filippov
Publikováno v: Siberian Mathematical Journal. 49:744-748
Let Φ be a unital associative commutative ring with 1/2. The local nilpotency is proved of binary Lie Φ-algebras satisfying the third Engel condition. Moreover, it is proved that this class of algebras does not contain semiprime algebras.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5345e1da41095847544159063e37b275
https://doi.org/10.1007/s11202-008-0071-3
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9
On solving dynamical equations in general homogeneous isotropic cosmologies with scalaron
Autor: Alexandre T. Filippov
We study general dynamical equations describing homogeneous isotropic cosmologies coupled to a scalaron $\psi$. For flat cosmologies ($k=0$), we analyze in detail the gauge-independent equation describing the differential, $\chi(\alpha)\equiv\psi^\pr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::151164daa6384764bb1017bd16cbc462
http://arxiv.org/abs/1506.01664
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