Cosmological Interactions with Phantom Scalar Field: Revisiting Background Phase-Space Analysis with Compactified Variables

TL;DR

This paper introduces a novel compactified phase-space analysis for phantom scalar field cosmologies, providing new insights into dark energy interactions and avoiding Big Rip singularities.

Contribution

It presents a new set of dimensionless variables for phase-space analysis, improving understanding of dark energy dynamics with negative kinetic energy.

Findings

New compactified variables reveal stable and unstable cosmological solutions.

Analysis offers insights into avoiding Big Rip singularities.

Enhanced understanding of dark energy interactions in gravitational theories.

Abstract

Energy transfer in the dark sector of the universe gives rise to new phenomena of special interest in modern cosmology. When dark energy is modeled as a phantom scalar field, interactions become crucial to avoid Big Rip singularities. In this work, we revisit the phase-space analysis of the field equations by introducing a new set of dimensionless variables distinct from the traditional Hubble normalization approach. These new variables define a compactified phase space for the evolution of physical parameters. We demonstrate that these compactified variables offer fresh insights into the phase-space analysis in gravitational theories, particularly when the dark energy fluid is allowed to possess a negative kinetic energy density.