The Bianchi IX model in Loop Quantum Cosmology

Abstract

The Bianchi IX model has been used often to investigate the structure close to singularities of general relativity. Its classical chaos is expected to have, via the BKL scenario, implications even for the approach to general inhomogeneous singularities. Thus, it is a popular model to test consequences of modifications to general relativity suggested by quantum theories of gravity. This paper presents a detailed proof that modifications coming from loop quantum gravity lead to a non-chaotic effective behavior. The way this is realized, independently of quantization ambiguities, suggests a new look at initial and final singularities.

41 pages, 3 figures, revtex4

References in corpus (1)

• Quantum suppression of the generic chaotic behavior close to cosmological singularities

Cited by in corpus (7)

• Spherically Symmetric Quantum Geometry: States and Basic Operators
• Loop Quantum Gravity and the Cyclic Universe
• The Volume Operator in Spherically Symmetric Quantum Geometry
• Degenerate Configurations, Singularities and the Non-Abelian Nature of Loop Quantum Gravity
• Elements of Loop Quantum Cosmology
• The Early Universe in Loop Quantum Cosmology
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity