Qualitative study in Loop Quantum Cosmology

Abstract

This work contains a detailed qualitative analysis, in General Relativity and in Loop Quantum Cosmology, of the dynamics in the associated phase space of a scalar field minimally coupled with gravity, whose potential mimics the dynamics of a perfect fluid with a linear Equation of State (EoS). Dealing with the orbits (solutions) of the system, we will see that there are analytic ones, which lead to the same dynamics as the perfect fluid, and our goal is to check their stability, depending on the value of the EoS parameter, i.e., to show whether the other orbits converge or diverge to these analytic solutions at early and late times.

arXiv comment12 pages, 7 figures. Version accepted for publication in CQG

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Cited by in corpus (7)

• $k$-essence $f(R)$ Gravity Inflation
• A Study of Finite-time Singularities of Loop Quantum Cosmology Interacting Multifluids
• The Classical and Loop Quantum Cosmology Phase Space of Interacting Dark Energy and Superfluid Dark Matter
• Loop Quantum Cosmology Corrected Gauss-Bonnet Singular Cosmology
• Generalized Logarithmic Equation of State in Classical and Loop Quantum Cosmology Dark Energy-Dark Matter Coupled Systems
• The Dapor-Liegener model of Loop Quantum Cosmology: A dynamical analysis
• Viable Inflationary Evolution from Loop Quantum Cosmology Scalar-Tensor Theory