Tilted homogeneous cosmological model with disordered radiations in the presence of magnetic field

In this paper, we have investigated a magnetized homogeneous cosmological model of perfect fluid distribution having disordered radiation in the presence and absence of magnetic field in general relativity. The expansion in the model is only along y and z direction. It is assumed that the universe is filled with disordered radiation. The physical and geometrical aspects of the model in the presence and absence of the magnetic field together with the singularity in the model are also discussed. (authors)