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Abstract
In this paper, the analytical solutions of Brans-Dicke (B-D) equations with cosmological constant are presented, in which the equation of state of the universe is P=mÙ° ρ , under the assumption φRn=c between the B-D field and the scale factor of the universe. The flat (K=0) Robertson- Walker metric has been considered for the metric of the universe. These solutions are rich in the sense that they include dust B-D theory with cosmological constant, Nariai Ù=° solutions, vacuum solutions of Ohanlen-Tupper and inflationary Ù=° solutions.
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