Non-Singular Bouncing Universes in Loop Quantum Cosmology

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dc.creatorSingh, Parampreet
dc.creatorVandersloot, Kevin
dc.creatorVereshchagin, G. V.
dc.date2006-06-07
dc.date2006-07-17
dc.date.accessioned2026-07-07T07:13:09Z
dc.date.available2026-07-07T07:13:09Z
dc.descriptionNon-perturbative quantum geometric effects in Loop Quantum Cosmology predict a $ρ^2$ modification to the Friedmann equation at high energies. The quadratic term is negative definite and can lead to generic bounces when the matter energy density becomes equal to a critical value of the order of the Planck density. The non-singular bounce is achieved for arbitrary matter without violation of positive energy conditions. By performing a qualitative analysis we explore the nature of the bounce for inflationary and Cyclic model potentials. For the former we show that inflationary trajectories are attractors of the dynamics after the bounce implying that inflation can be harmoniously embedded in LQC. For the latter difficulties associated with singularities in cyclic models can be overcome. We show that non-singular cyclic models can be constructed with a small variation in the original Cyclic model potential by making it slightly positive in the regime where scalar field is negative.
dc.descriptionMinor changes and one figure added to improve presentation. References added. To appear in Physical Review D
dc.identifierhttps://arxiv.org/abs/gr-qc/0606032
dc.identifierhttp://arxiv.org/abs/gr-qc/0606032
dc.identifierPhys.Rev. D74 (2006) 043510
dc.identifierdoi:10.1103/PhysRevD.74.043510
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112346
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleNon-Singular Bouncing Universes in Loop Quantum Cosmology
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