65 citations · 279 across the 16 of their papers we have counts for
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Fractional-order derivatives in cosmological models of accelerated expansion
V. K. Shchigolev
In this brief review, we present the results of the fractional differential approach in cosmology in the context of the exact models of cosmological accelerated expansion obtained…
Analytical Computation of the Perihelion Precession in General Relativity via the Homotopy Perturbation Method
V. K. Shchigolev
We propose a new approach in studying the planetary orbits and the perihelion precession in General Relativity by means of the Homotopy Perturbation Method (HPM).For this purpose,…
Exact Cosmological Models with the Yang - Mills Fields on Lyra Manifold
V. K. Shchigolev, D. N. Bezbatko
The present study deals with the Friedmann-Robertson-Walker cosmological models of the Yang-Mills (YM) fields in Lyra geometry. The energy-momentum tensor of the YM fields for our…
Studying Gravitational Deflection of Light by Kiselev Black Hole via Homotopy Perturbation Method
V. K. Shchigolev, D. N. Bezbatko
In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the gravitational deflection of light in General Relativity near Sch…
Testing Fractional Action Cosmology
V. K. Shchigolev
The present work deals with a combined test of the so-called Fractional Action Cosmology (FAC) on the example of a specific model obtained by the author earlier. In this model, the…
Calculating Luminosity Distance versus Redshift in FLRW Cosmology via Homotopy Perturbation Method
V. K. Shchigolev
We propose an efficient analytical method for estimating the luminosity distance in a homogenous Friedmann-Lemaître-Robertson-Walker (FLRW) model of the Universe. This method is ba…
Cosmology with an Effective -Term in Lyra Manifold
V. K. Shchigolev
A cosmological model in Lyra's geometry are studied under the assumption that an effective cosmological term is appeared in the field equations as the result of interaction between…
Fractional Einstein-Hilbert Action Cosmology
V. K. Shchigolev
We propose a new type of cosmological model derived from the fractional variational principle when it is applied to the gravitational sector of action functional. In contrast to th…
Cosmological Models with a Varying -Term in Lyra's Geometry
V. K. Shchigolev
Cosmological models in Lyra's geometry are constructed and investigated with the assumption of a minimal interaction of matter with the displacement vector field and the dynamical…
Cosmological Model of Interacting Tachyon Field
V. K. Shchigolev, M. P. Rotova
In this paper we investigate a tachyon field model in cosmology, provided its interaction with the quintessence or phantom fields.The model takes into account this interaction beyo…
Scalar Field Cosmology in Lyra's Geometry
V. K. Shchigolev, E. A. Semenova
The new classes of homogeneous cosmological models for the scalar fields are build in the context of Lyra's geometry. The different types of exact solution for the model are obtain…
Non-Minimal Cosmological Model in Modified Yang--Mills Theory
V. K. Shchigolev, G. N. Orekhova
In the present paper, we consider a model of non-minimal modified Yang-Mills theory in the Friedmann-Robertson-Walker cosmology, in which the Yang-Mills field couples to the scalar…
Modelling Tachyon Cosmology with Non-Minimal Derivative Coupling to Gravity
V. K. Shchigolev, M. P. Rotova
We study a tachyon model with non-minimal derivative coupling to gravity in the Friedmann-Robertson-Walker flat cosmology. We propose the special re-definition of the tachyon field…
Modelling Cosmic Acceleration in Modified Yang - Mills Theory
V. K. Shchigolev
We investigate the possibility that the modified Yang-Mills theories can produce an accelerated cosmic expansion. We take into account some specific non-trivial solution of the mod…
Cosmological Models with Fractional Derivatives and Fractional Action Functional
V. K. Shchigolev
Cosmological models of a scalar field with dynamical equations containing fractional derivatives or derived from the Einstein-Hilbert action of fractional order, are constructed. A…
A new class of inhomogeneous cosmological models with Yang-Mills fields
V. K. Shchigolev, V. M. Zhuravlev, S. V. Chervon
Exact solutions corresponding to spherically symmetric inhomogeneous nonstationary Tolman metrics are obtained for the self-consistent