Twister quintessence scenario

TL;DR

This paper analyzes scalar field cosmologies with non-minimal coupling, identifying stable attractor solutions including a novel 'twister' trajectory that connects radiation, matter, and de Sitter phases, with duality relations between phantom and canonical fields.

Contribution

It introduces the stable 'twister' solution in non-minimally coupled scalar field cosmology and explores its properties and dualities, extending understanding of cosmic evolution paths.

Findings

Identified stable attractor solutions including the 'twister' trajectory.

Demonstrated the stability of the 'twister' solution connecting key cosmological phases.

Discovered duality relations between phantom and canonical scalar field solutions.

Abstract

We study generic solutions in a non-minimally coupled to gravity scalar field cosmology. It is shown that dynamics for both canonical and phantoms scalar fields with the potential can be reduced to the dynamical system from which the exact forms for an equation of the state parameter can be derived. We have found the stationary solutions of the system and discussed their stability. Within the large class of admissible solutions we have found a non-degenerate critical points and we pointed out multiple attractor type of trajectory travelling in neighborhood of three critical points at which we have the radiation dominating universe, the barotropic matter dominating state and finally the de Sitter attractor. We have demonstrated the stability of this trajectory which we call the twister solution. Discovered evolutional path is only realized if there exist the non-minimal coupling constant. We have found simple duality relations between twister solutions in phantom and canonical scalar fields in the radiation domination phase. For the twister trajectory we have found an oscillating regime of approaching the de Sitter attractor.