Modified Friedmann equation and survey of solutions in effective Bianchi-I loop quantum cosmology

Abstract

In this article, we study the equations driving the dynamics of a Bianchi-I universe described by holonomy corrected effective loop quantum cosmology. We derive the LQC-modified generalized Friedmann equation, which is used as a guide to find different types of solutions. It turns out that, in this framework, most solutions never reach the classical behavior.

11 pages, 11 figures

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Cited by in corpus (10)

• Cosmological perturbations in Hybrid Loop Quantum Cosmology: Mukhanov-Sasaki variables
• Detailed investigation of the duration of inflation in loop quantum cosmology for a Bianchi-I universe with different inflaton potentials and initial conditions
• Loop Quantum Cosmology: A brief review
• Some conceptual issues in loop quantum cosmology
• Exhaustive investigation of the duration of inflation in effective anisotropic loop quantum cosmology
• Unavoidable shear from quantum fluctuations in contracting cosmologies
• Seeing through the cosmological bounce: Footprints of the contracting phase and luminosity distance in bouncing models
• Semiclassical and quantum features of the Bianchi I cosmology in the polymer representation
• Variety of $(d+1)$ dimensional Cosmological Evolutions with and without bounce in a class of LQC -- inspired Models
• A Class of LQC--inspired Models for Homogeneous, Anisotropic Cosmology in Higher Dimensional Early Universe