Dynamics driven by the Trace Anomaly in FLRW Universes

TL;DR

This paper demonstrates through semiclassical analysis that the quantum trace anomaly does not influence the effective cosmological constant in FLRW universes, showing the universe's evolution towards classical or quantum anomaly-driven de Sitter states.

Contribution

It provides a detailed dynamical analysis of the trace anomaly's role in the evolution of FLRW universes, showing it does not alter the cosmological constant.

Findings

Universe evolves to classical de Sitter or quantum anomaly-driven state.

Trace anomaly does not affect the effective cosmological constant.

Hubble parameter evolution analyzed in quasi de Sitter spacetime.

Abstract

By means of a semiclassical analysis we show that the trace anomaly does not affect the cosmological constant. We calculate the evolution of the Hubble parameter in quasi de Sitter spacetime, where the Hubble parameter varies slowly in time, and in FLRW spacetimes. We show dynamically that a Universe consisting of matter with a constant equation of state, a cosmological constant and the quantum trace anomaly evolves either to the classical de Sitter attractor or to a quantum trace anomaly driven one. There is no dynamical effect that influences the effective value of the cosmological constant.