Rotating Cosmological Bianchi Type VIII Modelswith Fluid Sources
Within the general theory of relativity the Bianchi type VIII cosmological models with rotationand expansion have been built. The ﬁrst case includes a ﬁeld of radiation, the second one -a perfect ﬂuid with dust-like equation of state. Perfect anisotropic ﬂuid imitates the rotatingdark energy. Static and dynamic cosmological modes have been observed, at the same timethe equations of state are partly postulated in the ﬁrst case for the anisotropic ﬂuid and inthe second case - for the perfect isotropic ﬂuid, that imitates baryon matter. The analysisof absence of closed time-like curves has been done, so the models have been proved to becasual when the metric parameters satisfy the found conditions. Also the conditions, when theanisotropic ﬂuid’s equation of state becomes vacuum-like, the energy of the ﬂuid dominatesand it becomes asymptotically isotropic, have been cleared out. Specialities of the oscillatingmode have been observed. The order of present angular velocity value, calculated within thecosmological models, has been found to be quite satisfactory when expanding from the Plank scale to the present size of observed part of the Universe. The found solutions may be used foreﬀects taking place nowadays and also during the inﬂationary stage.