Anisotropic string cosmological model in Brans-Dicke theory of gravitation with time-dependent deceleration parameter

We discuss a spatially homogeneous and anisotropic string cosmological models in the Brans-Dicke theory of gravitation. For a spatially homogeneous metric, it is assumed that the expansion scalar theta is proportional to the shear scalar sigma. This condition leads to A = kB (m) , where k and m are constants. With these assumptions and also assuming a variable scale factor a = a(t), we find solutions of the Brans-Dicke field equations. Various phenomena like the Big Bang, expanding universe, and shift from anisotropy to isotropy are observed in the model. It can also be seen that in early stage of the evolution of the universe, strings dominate over particles, whereas the universe is dominated by massive strings at the late time. Some physical and geometrical behaviors of the models are also discussed and observed to be in good agreement with the recent observations of SNe la supernovae.