تقرير
Quintessential $\alpha$-attractor inflation: A dynamical systems analysis
| العنوان: | Quintessential $\alpha$-attractor inflation: A dynamical systems analysis |
|---|---|
| المؤلفون: | Alho, Artur, Uggla, Claes |
| سنة النشر: | 2023 |
| المجموعة: | Astrophysics General Relativity and Quantum Cosmology |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology, Astrophysics - Cosmology and Nongalactic Astrophysics |
| الوصف: | The equations for quintessential $\alpha$-attractor inflation with a single scalar field, radiation and matter in a spatially flat FLRW spacetime are recast into a regular dynamical system on a compact state space. This enables a complete description of the solution space of these models. The inflationary attractor solution is shown to correspond to the unstable center manifold of a de Sitter fixed point, and we describe connections between slow-roll and dynamical systems approximations for this solution, including Pad\'e approximants. We also introduce a new method for systematically obtaining initial data for quintessence evolution by using dynamical systems properties; in particular, this method exploits that there exists a radiation dominated line of fixed points with an unstable quintessence attractor submanifold, which plays a role that is reminiscent of that of the inflationary attractor solution for inflation. Comment: 34 pages, 23 figures. v2 Appendices incorporated into main text |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2306.15326 |
| رقم الأكسشن: | edsarx.2306.15326 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |