Effective Dynamics for the Cosmological Bounces in Bianchi Type I Loop Quantum Cosmology

Abstract

The detailed formulation for loop quantum cosmology (LQC) in the Bianchi I model with a massless scalar field was recently constructed. In this paper, its effective dynamics with the LQC discreteness corrections is studied and the equations of motion are analytically solved, showing that the big bang singularity is replaced by the big bounces, which take place up to three times, once in each diagonal direction, whenever each of the area scale factors approaches its critical value in the Planck regime measured by the reference of the scalar field momentum.

7 pages, 4 figures; typos corrected, one reference added

References in corpus (6)

• 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
• Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology
• Loop Quantum Cosmology in Bianchi Type I Models: Analytical Investigation
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Cited by in corpus (8)

• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Effective Dynamics, Big Bounces and Scaling Symmetry in Bianchi Type I Loop Quantum Cosmology
• Phenomenological dynamics of loop quantum cosmology in Kantowski-Sachs spacetime
• Loop Quantum Cosmology of Diagonal Bianchi Type I model: simplifications and scaling problems
• Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models
• Loop quantum cosmology with higher order holonomy corrections
• Vector fields and Loop Quantum Cosmology
• Effective equations of motion for constrained quantum systems: A study of the Bianchi I loop quantum cosmology