We present a Static Universe in a generalized Brans-Dicke gravity theory, where the coupling “constant ” varies with time, as well as the scalar field. There is amplificatiom of gravitational waves in such Universe, at least when it is “young”. PACS 98.80-Hw

We apply the holographic principle to the Brans-Dicke cosmology. We analyze the holographic bound in both the Jordan and Einstein frames. The holographic bound is satisfied for both the k = 0 and k = −1 universe, but it is violated for the k = 1 matter dominated universe. 04.50.+h, 98.80.Hw Typeset using REVTEX 1

We investigate the limit of Brans-Dicke spacetimes as ω → ∞ applying a coordinate-free technique. We obtain the limits of some known exact solutions. It is shown that these limits may not correspond to similar solutions in the general relativity theory. pacs numbers: 04.20.Jb, 04.20.Cv, 04.50.+h