7 citations · 7 across the 2 of their papers we have counts for
4 papers · 1 filter
Certain aspects of regularity in scalar field cosmological dynamics
A. Toporensky, P. Tretyakov
We consider dynamics of the FRW Universe with a scalar field. Using Maupertuis principle we find a curvature of geodesics flow and show that zones of positive curvature exist for a…
Power-law anisotropic cosmological solution in 5+1 dimensional Gauss-Bonnet gravity
A. Toporensky, P. Tretyakov
We write down an anisotropic solution for a flat 5+1 dimensional Universe in Gauss-Bonnet gravity. In the model under investigation this solution replaces the generalized Kasner so…
Quantum effects, soft singularities and the fate of the universe in a braneworld cosmology
Petr Tretyakov, Aleksey Toporensky, Yuri Shtanov +1
We examine a class of braneworld models in which the expanding universe encounters a "quiescent" future singularity. At a quiescent singularity, the energy density and pressure of…
Scaling solutions on a brane
N. Yu. Savchenko, A. V. Toporensky
We investigate the dynamics of a flat isotropic brane Universe with two-component matter source: perfect fluid with the equation of state and a scalar field with a powe…