A new view on cosmology, with non-translational invariant Hamiltonian

Abstract

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.