The Bianchi IX model in Loop Quantum Cosmology

Details The Bianchi IX model in Loop Quantum Cosmology The Bianchi IX model in Loop Quantum Cosmology

2004-04-08

arxiv.org/abs/gr-qc/0404039v1

Class.Quant.Grav. 21 (2004) 3541-3570

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

41 pages, 3 figures, revtex4

Scientific paper

10.1088/0264-9381/21/14/015

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.

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