G. N. Shikin
Peoples' Friendship University of Russia
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Featured researches published by G. N. Shikin.
Gravitation & Cosmology | 2008
V. G. Krechet; M. L. Fil’chenkov; G. N. Shikin
A possibility of simulating a perfect fluid using spinor fields with different nonlinearities is investigated. Exact cosmological solutions to Einstein’s equations with spinor fields are compared to the corresponding ones with perfect fluids.
Central European Journal of Physics | 2011
Yuri P. Rybakov; G. N. Shikin; Yuri A. Popov; Bijan Saha
We consider an interacting system of massless scalar and electromagnetic fields, with the Lagrangian explicitly depending on the electromagnetic potentials, i.e., interaction with broken gauge invariance. The Lagrangian for interaction is chosen in such a way that the electromagnetic field equation acquires an additional term, which in some cases is proportional to the vector potential of the electromagnetic field. This equation can be interpreted as the equation of motion of photon with induced nonzero rest-mass. This system of interacting fields is considered within the scope of Bianchi type-I (BI) cosmological model. It is shown that, as a result of interaction the isotropization process of the expansion takes place.
Gravitation & Cosmology | 2009
V. G. Krechet; M. L. Fil’chenkov; G. N. Shikin
A possibility of simulating a perfect fluid using scalar and spinor fields with different nonlinearities is investigated. Exact cosmological solutions to Einstein’s equations with the scalar and spinor fields are compared to the corresponding ones with a perfect fluid with a barotropic equation of state.
Russian Physics Journal | 1995
R. Alvarado; Yu. P. Rybakov; B. Sakha; G. N. Shikin
Exact self-consistent solutions of the equations that describe a system of interacting spinor and massless scalar fields with the interaction Lagrangian Lint=ϕ,αϕ,αΦ(S), where Φ(S) is an arbitrary function of the invariant S=ψψ, are obtained in Bianci I space. The possibility of excluding the initial singularity is studied for the case of a power-law function Φ(S), and isotropic expansion of the space as t → ∞ is established.
Russian Physics Journal | 1994
Yu. P. Rybakov; B. Sakha; G. N. Shikin
AbstractCalculations are performed to obtain exact self-consistent solutions of nonlinear spinor-field equations with self-action terms in Bianchi-I space. The latter terms are arbitrary functions of the invariant
Russian Physics Journal | 1991
K. A. Bronnikov; Yu. P. Rybakov; G. N. Shikin
International Journal of Theoretical Physics | 2011
Yu. P. Rybakov; G. N. Shikin; Yu. A. Popov; Bijan Saha
s = \overline \psi \psi
Russian Journal of Physical Chemistry A | 2010
Yu. A. Popov; N. A. Koval’chukov; G. N. Shikin; V. A. Popova
Gravitation & Cosmology | 2010
V. G. Krechet; M. L. Fil’chenkov; G. N. Shikin
. A detailed examination is made of equations with exponential nonlinearity, when the nonlinear term in the Lagrangian of the spinor field Ln=λsn. Here, λ is the nonlinearity parameter, n>1. It is shown that these equations have finite solutions and solutions that are singular at the initial moment of time. The singularity is absent in the case of solutions that describe systems of fields for which the energy dominance condition is violated. It is further shown that if the mass parameter m≠0 in the spinor-field equation, expansion of Bianchi-I space becomes isotropic as t → ∞. This does not occur when m=0. Specific examples of solutions of linear and nonlinear spinor-field equations are presented.
Gravitation & Cosmology | 2009
K. A. Bronnikov; E. N. Chudaeva; G. N. Shikin
Exact cylindrically symmetric solutions are obtained for a class of interacting scalar and vector fields in a rotating Godel Universe. We select those with the properties of solitons with smooth decrease of the fields to asymptotics and those with sharp boundaries (droplets). It is shown that only some of the droplets are stable with respect to perturbations that preserve cylindrical symmetry.