Cosmological dynamics and bifurcation analysis of the general non-minimal coupled scalar field models
| Autor: | Jibitesh Dutta, Wompherdeiki Khyllep |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
High Energy Physics - Theory Physics and Astronomy (miscellaneous) General relativity Big Rip FOS: Physical sciences QC770-798 General Relativity and Quantum Cosmology (gr-qc) Astrophysics General Relativity and Quantum Cosmology Physical cosmology QB460-466 High Energy Physics - Phenomenology Transcritical bifurcation Bifurcation theory High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) Nuclear and particle physics. Atomic energy. Radioactivity Dark energy Statistical physics Engineering (miscellaneous) Scalar field Center manifold |
| Zdroj: | European Physical Journal European Physical Journal C: Particles and Fields, Vol 81, Iss 8, Pp 1-19 (2021) |
| Popis: | Non-minimally coupled scalar field models are well-known for providing interesting cosmological features. These include a late time dark energy behavior, a phantom dark energy evolution without singularity, an early time inflationary universe, scaling solutions, convergence to the standard $\Lambda$CDM, etc. While the usual stability analysis helps us determine the evolution of a model geometrically, bifurcation theory allows us to precisely locate the parameters' values describing the global dynamics without a fine-tuning of initial conditions. Using the center manifold theory and bifurcation analysis, we show that the general model undergoes a transcritical bifurcation, which predicts us to tune our models to have certain desired dynamics. We obtained a class of models and a range of parameters capable of describing a cosmic evolution from an early radiation era towards a late time dark energy era over a wide range of initial conditions. There is also a possible scenario of crossing the phantom divide line. We also find a class of models where the late time attractor mechanism is indistinguishable from that of a structurally stable general relativity based model; thus, we can elude the big rip singularity generically. Therefore, bifurcation theory allows us to select models that are viable with cosmological observations. Comment: 17 pages and 14 figs |
| Databáze: | OpenAIRE |
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