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The pre-inflationary evolution of the universe describes the beginning of theexpansion from a static initial state, such that the Hubble parameter isinitially zero, but increases to an asymptotic constant value, in which itcould achieve a de Sitter (inflationary) expansion. The expansion is driven bya background phantom field. The back-reaction effects at this moment shoulddescribe vacuum geometrical excitations, which are studied with detail in thiswork using Relativistic Quantum Geometry.

Geometric back-reaction in pre-inflation from relativistic quantum geometry