Twister quintessence scenario

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.

9 pages, 2 figs, elsatricle; (v2.) 9 pages, 3 figs, PhysLettB (in press)

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Cited by in corpus (9)

• Teleparallel quintessence with a nonminimal coupling to a boundary term
• What $\xi$? Cosmological constraints on the non-minimal coupling constant
• Cosmological dynamics with non-minimally coupled scalar field and a constant potential function
• Uniting cosmological epochs through the twister solution in cosmology with non-minimal coupling
• Scalar Field Cosmology -- Geometry of Dynamics
• Scalar-tensor cosmologies with dust matter in the general relativity limit
• Dynamical description of a quintom cosmological model nonminimally coupled with gravity
• The non-minimal coupling constant and the primordial de Sitter state
• Scalar Field Cosmology -- Improving the Cosmological Evolutional Scenario