@article{Parnovsky_2022, title={Dynamics of the General Bianchi IX Model near a Cosmological Singularity}, volume={67}, url={https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2021382}, DOI={10.15407/ujpe67.2.93}, abstractNote={<p>Half a century ago, Belinsky and Khalatnikov proposed a generic solution of the Einstein equations near their cosmological singularity, basing on a generalization of the homogeneous model of Bianchi type IX. The consideration of the evolution of the most general non-diagonal case of this model is significantly simplified, if it is assumed that, when approaching the singularity t = 0, it reduces to the so-called asymptotic dynamics, at which inequality Γ<sub>1</sub> ≫ Γ<sub>2</sub> ≫ Γ<sub>3</sub> holds. It has been suggested that this inequality continues to be true from the moment of its first fulfilment up to the singularity of space-time. We analyze this assumption and show that it is incorrect in the general case. However, it is shown that in any case there exists a time t<sub>0</sub>, after which this assumption becomes true. The value of t<sub>0</sub> is the smaller, the less is the degree of non-diagonality of the model. Some details of the behavior of the non-diagonal homogeneous model of Bianchi type IX are considered at the stage of asymptotic dynamics of approaching the singularity.</p>}, number={2}, journal={Ukrainian Journal of Physics}, author={Parnovsky, S.L.}, year={2022}, month={Apr.}, pages={93} }