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

TL;DR

This paper investigates the pre-inflationary universe's expansion driven by a phantom field, focusing on vacuum geometrical excitations and back-reaction effects using Relativistic Quantum Geometry.

Contribution

It introduces a detailed analysis of back-reaction effects in pre-inflation through the framework of Relativistic Quantum Geometry, highlighting vacuum geometrical excitations.

Findings

Back-reaction effects influence the initial expansion dynamics.

Vacuum geometrical excitations are significant in pre-inflation.

The approach provides insights into the geometric origin of inflationary behavior.

Abstract

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