Quintessence and (Anti-)Chaplygin Gas in Loop Quantum Cosmology

Abstract

The concordance model of cosmology contains several unknown components such as dark matter and dark energy. Many proposals have been made to describe them by choosing an appropriate potential for a scalar field. We study four models in the realm of loop quantum cosmology (LQC): the Chaplygin gas, an inflationary and radiation-like potential, quintessence and an anti-Chaplygin gas. For the latter we show that all trajectories start and end with a type II singularity and, depending on the inital value, may go through a bounce. On the other hand the evolution under the influence of the first three scalar fields behaves classically at times far away from the big bang singularity and bounces as the energy density approaches the critical density.

9 pages, 8 figures

References in corpus (21)

• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Baryon Acoustic Oscillation Intensity Mapping as a Test of Dark Energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectra
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Are loop quantum cosmos never singular?
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• Classification of cosmological milestones
• Quantum cosmology with big-brake singularity
• The behavior of non-linear anisotropies in bouncing Bianchi I models of loop quantum cosmology
• Inflationary universe in loop quantum cosmology
• Observational constraint on generalized Chaplygin gas model
• Lattice Refining Loop Quantum Cosmology and Inflation
• Non-singular Ekpyrotic/Cyclic model in Loop Quantum Cosmology
• Singularities in loop quantum cosmology
• Lattice Refining LQC and the Matter Hamiltonian
• Chaplygin inflation in loop quantum cosmology
• On the possibility of Dark Energy from corrections to the Wheeler-De Witt equation

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• Does loop quantum cosmology replace the big rip singularity by a non-singular bounce?
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• A phenomenology analysis of the tachyon warm inflation in loop quantum cosmology
• On the concordance of cosmological data in the case of the generalized Chaplygin gas
• Constraining Parameters of Generalized Cosmic Chaplygin Gas in Loop Quantum Cosmology
• Dynamical behaviors of FRW Universe containing a positive/negative potential scalar field in loop quantum cosmology
• Dark matter as the Bose-Einstein condensation in loop quantum cosmology
• Quantum Cosmology Close to the Classical Big Bang Singularity and in the Semiclassical Limit