  The idea of this contribution is to suggest a way to get rid of gravity as a
dynamical space time approximately in cosmology and thus be able to use
Hamiltonian formulation ignoring the gravitational degrees of freedom, treating
them just as background. Concretely we suggest to use a background De Sitter
spacetime and then instead of the usual choice of coordinates leading to a
picture in which the Universe Hubble expands, we propose to identify the time
translation in the new coordinate system with a Killing form transformation for
the De Sitter space time. This then leads to unwanted features like the
descripton being formally not translational invariant, but we have in mind just
to get in a simple way time translation and its associated Hamiltonian, and
shall then in word give some ideas of the from this point of view way of
looking at the usual cosmology.
