Investigation of Some Magnetized Cosmological Model with cosmological constant -Term in Bimetric Theory of Gravitation

Abstract

In this paper, some magnetized cosmological model with cosmological constant  in Rosen’s bimetric theory of gravitation is investigated  by using the techniques of Letelier and Stachel. The nature of the model is discussed in presence and in absence of the magnetic field as well as in the presence and in the absence of cosmological constant. Our model exists and it never goes to vacuum model for cosmological constant is not equal to zero and for finite value of cosmic time and it approaches to vacuum model  when the cosmic time tends to minus infinity, in the presence of magnetic field. Further in the absence of magnetic field, model exists if cosmological constant is negative and  lies between zero and half and our model filled with dark matter if cosmological constant is positive and  greater than half.