Global Properties of the Solution of the Einstein-Maxwell-Boltzmann-Scalar Field System with Pseudo-Tensor of Pressure on a Bianchi Type I Space-Time

Abstract

Abstract. In this paper, we study the asymptotic behaviour, the geodesic completeness and the energy condition for the coupled Einstein-Maxwell-Boltzmann-Massive scalar field system with pseudo-tensor of pressure in the sources which rules the dynamincs of kind of charged pure matter in the presence of a massive scalar field which is a continuity of the work we have done. We then prove that, at late times, the Hubble variable of the space time goes to strictly positive limit.