Some cylindrically symmetric vacuum solutions of Brans-Dicke scalar fields in Robertson-Walker universe

Abstract: The problem of cylindrically symmetric vacuum solutions of Brans-Dicke scalar fields has been studied. Exact solutions have been obtained for the vacuum B-D field equations for the cylindrically symmetric Einstein-Rosen metric. The solutions obtained in the present work are generalized solutions of the problem which has been studied by Rao et al. (Annals of Physics, Vol. 87, 1974).The physical and kinematical behaviors of the solutions relevant to conformal space is also discussed in details, these solutions will be beneficial in solving the problems for investigating the different model of our universe.