BD-FRW models in the framework of Israel-Stewart-Hiscock theory

BD-FRW universe filled with imperfect fluid having bulk viscosity is investigated under the framework of Israel-Stewart-Hiscock causal theory. The field equations have been solved by using the relation phi = KR(alpha) where K and alpha are constants, between the Brans-Dicke scalar field phi and the scale factor R. This relation, in fact, leads to a constant deceleration parameter q. It is shown that the constancy of the deceleration parameter permits only two possibilities i.e. either H = constant with m = 1 or m = (1 + b - alpha)/(2(1 + b)- alpha), irrespective of the value of epsilon.