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Abstract:
We find the propagator for gravitons in spacetimes with homogeneous and isotropic flat (k=0) spatial sections. The method also applies to the k = + 1 and K = −1 cases. The vacuum state is assumed to be homogeneous and isotropic in the same way as the spacetime. In the four most interesting physical cases, which are de Sitter space, the radiation and dust dominated models, and flat space, we obtain the graviton propagator in closed form for the adiabatic vacuum state.
