Non-bouncing solutions in loop quantum cosmology

Abstract

According to the Belinskii-Khalatnikov-Lifshitz scenario, a collapsing universe approaching a spacelike singularity can be approximated by homogeneous cosmological dynamics, but only if asymptotically small spatial regions are considered. It is shown here that the relevant small-volume behavior in solvable models of loop quantum cosmology is crucially different from the large-volume behavior exclusively studied so far. While bouncing solutions exist and may even be generic within a given quantum representation, they are not generic if quantization ambiguities such as choices of representations are taken into account. The analysis reveals an interesting interplay between sl(2,R)-representation theory and canonical effective theory.

24 pages

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Cited by in corpus (8)

• Critical evaluation of common claims in loop quantum cosmology
• A no-go result for covariance in models of loop quantum gravity
• Annihilation-to-nothing: a quantum gravitational boundary condition for the Schwarzschild black hole
• Non-covariance of "covariant polymerization" in models of loop quantum gravity
• Properties of fluctuating states in loop quantum cosmology
• Tunneling dynamics in cosmological bounce models
• Quantum Big-Bounce as a phenomenology of RQM in the Mini-superspace
• Weyl Curvature Hypothesis in light of Quantum Backreaction at Cosmological Singularities or Bounces