Valery Obukhov

Prof. Valery Obukhov

Tomsk State Pedagogical University, Tomsk, Russia
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Research Focus & Metrics

Academic Career Length

50Years (1977-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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19 March 2010 in Classical and Quantum Gravity
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Journal Article
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Emilio ElizaldeEmilio Elizalde
Emilio Elizalde
RMR Myrzakulov
R Myrzakulov
Valery ObukhovValery Obukhov
Valery Obukhov
DSDiego Saez-Gomez
Diego Saez-Gomez

1 January 2007 in Physics Letters B
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Journal Article
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Emilio ElizaldeEmilio Elizalde
Emilio Elizalde
AMA.N. Makarenko
A.N. Makarenko
Valery ObukhovValery Obukhov
Valery Obukhov
Konstantin E. OsetrinKonstantin E. Osetrin
Konstantin E. Osetrin
AFA.E. Filippov
A.E. Filippov

20 September 2012 in Astrophysics and Space Science
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Journal Article
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AMAndrey Makarenko
Andrey Makarenko
Valery ObukhovValery Obukhov
Valery Obukhov
IKIliy V. Kirnos
Iliy V. Kirnos

5 December 2014 in Astrophysics and Space Science
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Journal Article
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Iver BrevikIver Brevik
Iver Brevik
Valery ObukhovValery Obukhov
Valery Obukhov
ATA. V. Timoshkin
A. V. Timoshkin

20 April 2021 in Symmetry
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Journal Article
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Valery ObukhovValery Obukhov
Valery Obukhov
All external electromagnetic fields in which the Klein-Gordon-Fock equation admits the first-order symmetry operators are found, provided that in the space-time V4 a group of motion G3 acts simply transitively on a non-null subspace of transitivity V3. It is shown that in the case of a Riemannian space Vn, in which the group Gr acts simply transitively, the algebra of symmetry operators of the n-dimensional Klein-Gordon-Fock equation in an external admissible electromagnetic field coincides with the algebra of operators of the group Gr.

15 April 2022 in Universe
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Valery ObukhovValery Obukhov
Valery Obukhov
Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators (integrals of motion) that is isomorphic to the algebra of group operators. Two frames associated with the group of motions are used to obtain systems of ordinary differential equations to which Maxwell’s equations reduce. The solutions are obtained in quadratures. The potentials of the admissible electromagnetic fields and the metrics of the spaces contained in the obtained solutions depend on six arbitrary time functions, so it is possible to use them to integrate field equations in the theory of gravity.