SearcharxivSearch

arXiv subjects

D. M. Chirkov

Publications and source records attributed to D. M. Chirkov.

2 recordsLinked to original sources

On stable exponential cosmological solutions in the EGB model with a $Λ$-term in dimensions D = 5,6,7,8

A $D$-dimensional Einstein-Gauss-Bonnet (EGB) flat cosmological model with a cosmological term $Λ$ is considered. We focus on solutions with exponential dependence of scale factor on time. Using previously developed general analysis of stability of such solutions done by V.D.Ivashchuk (2016) we apply the criterion from that paper to all known exponential solutions up to dimensionality 7+1. We show that this criterion which guarantees stability of solution under consideration is fulfilled for all combination of coupling constant of the theory except for some discrete set.

gr-qc

On stability of power-law solution in multidimensional Gauss-Bonnet cosmology

We consider dynamics of a flat anisotropic multidimensional cosmological model in Gauss-Bonnet gravity in the presence of a homogeneous magnetic field. In particular, we find conditions under which the known power-law vacuum solution can be an attractor for the case with non-zero magnetic field. We also describe a particular class of numerical solution in $(5+1)$-dimensional case which does not approach the power-law regime.

gr-qc