Kaluza-Klein Inflationary Universe in General Relativity

Abstract

Kaluza-Klein inflationary universe in general relativity has been studied. To obtain the deterministic model of the universe, it has been considered that the energy-momentum tensor of particles almost vanishes in the course of the expansion of the universe and thereby total energy-momentum tensor reduces to vacuum stress tensor. This assumption leads to (i) a ~ exp[Ht], where a is scale factor and H is Hubble constant. (ii) the effective potential V( ϕ) = constant, where ϕ is Higg’s field. It is observed that inflationary scenario is possible in Kaluza-Klein universe.