De Sitter ground state of scalar-tensor gravity and its primordial
  perturbation
  Scalar-tensor gravity is one of the most competitive gravity theory to
Einstein's relativity. We reconstruct the exact de Sitter solution in
scalar-tensor gravity, in which the non-minimal coupling scalar is rolling
along the potential. This solution may have some relation to the early
inflation and present acceleration of the universe. We investigated its
primordial quantum perturbation around the adiabatic vacuum. We put forward for
the first time that exact de Sitter generates non-exactly scale invariant
perturbations. In the conformal coupling case, this model predicts that the
tensor mode of the perturbation (gravity wave) is strongly depressed.
