A Bianchi type II cosmological model with expansion and rotation has been constructed. The model describes the Friedmannian stage of the Universe’s evolution including a subsequent transition to the accelerated exponential expansion observed nowadays. The gravitational field sources of the model are an ultra-relativistic matter, dust and co-moving anisotropic rotating dark energy. The possibility of detecting the cosmological rotation by astrophysical observations is discussed.
In this paper, we obtain an anisotropic Bianchi type-II space-time with dark matter and the modified holographic Ricci dark energy in the scale-covariant theory of gravitation. Exact solutions of the field equations are obtained by assuming (I) a negative constant value of the deceleration parameter (II) the component σ<sup>1</sup><sub>1</sub> of the shear tensor σ<sup>j</sup><sub>i</sub> is proportional to the mean Hubble parameter and (III) the gauge function Φ is proportional to a power function of the average scale factor. We have also discussed some important physical aspects of the model which is in agreement with the modern cosmological observations.