Cosmic infinity: A dynamical system approach

Abstract

Dynamical system techniques are extremely useful to study cosmology. It turns out that in most of the cases, we deal with finite isolated fixed points corresponding to a given cosmological epoch. However, it is equally important to analyse the asymptotic behaviour of the universe. On this paper, we show how this can be carried out for 3-forms model. In fact, we show that there are fixed points at infinity mainly by introducing appropriate compactifications and defining a new time variable that washes away any potential divergence of the system. The richness of 3-form models allows us as well to identify normally hyperbolic non-isolated fixed points.

19 pages, 9 figures, 3 tables. A new section added. Explanations improved. Version accepted in JCAP

References in corpus (18)

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Cited by in corpus (23)

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• Smoothing the $H_0$ tension with a dynamical dark energy model
• Traversable Wormhole in Einstein 3-Form Theory With Self-Interacting Potential
• Regular Black Hole Interior Spacetime Supported by Three-Form Field
• Dynamical systems analysis of tachyon dark energy model from a new perspective
• Quantum behavior of the "Little Sibling" of the Big Rip induced by a three-form field
• Cosmological constraints on dynamical dark energy model in $F(Q)$ gravity
• Can $f(R)$ gravity isotropize a pre-bounce contracting universe?
• Static spherically symmetric three-form stars
• A study of interacting scalar field model from the perspective of the dynamical systems theory
• Coupled quintessence with a generalized interaction term
• Interacting Agegraphic Dark Energy Model in DGP Braneworld Cosmology: Dynamical System Approach
• Interacting Models of Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity
• Phantom attractors in Kinetic Gravity Braiding theories: a dynamical system approach
• A dynamical system analysis of bouncing cosmology with spatial curvature
• Global phase space analysis for a class of single scalar field bouncing solutions in general relativity
• Big rip in shift-symmetric Kinetic Gravity Braiding theories
• Non-canonical 3-form dark energy
• Vector Higgs-Portal Dark Matter: How UV Completion Reopens Viable Parameter Space
• Hamiltonian formalism and constraint analysis of three-form matter models coupled with general relativity
• Unified dynamical system formulations for $f(R,\varphi ,X)$ gravity with applications to nonminimal derivative coupling and $R^2$-Higgs inflation
• Scaling solutions in three-form cosmology
• Dynamical-System analysis of single-axion monodromy inflation with periodically-modulated potentials