Abstract
Relativistic cosmological field equations are obtained for a non-static stationary Bertotti-Robinson-type space-time for interacting perfect fluid and electromagnetic field. The cosmological solution to the field equations are obtained and the nature of the electromagnetic field as well the perfect fluid are studied. The electromagnetic field generated here corresponds to a special generic case and the perfect fluid distribution degenerates into a barotropic perfect fluid with equation of statep+ρ=0, ρ>0. It is shown here that the interacting barotropic fluid can generate gravitation only when the cosmological constant λ being a function ofx in a dynamic field.
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