Nonstationary Bianchi type II cosmological models with rotation (Q1929252)

In this article, two new cosmological solutions to Einstein's field equation are presented. The metric is assumed to be of Bianchi type II, and the matter source is a (non-perfect) fluid with or without additional radiation component. The pressure of the fluid is anisotropic and its flow lines are twisting, expanding and non-geodesic. In the case with additional radiation field, the scale factor is of the form \(R(t) = R_0 e^{Ht}\), where \(R_0\) and \(H\) are constants, so that the solution can be interpreted as a model for an inflationary phase of the universe.