The Bianchi IX model in Loop Quantum Cosmology

Bojowald, Martin; Date, Ghanashyam; Hossain, Golam Mortuza

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The Bianchi IX model in Loop Quantum Cosmology

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Bojowald, Martin
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Bojowald, M., Date, G., & Hossain, G. M. (2004). The Bianchi IX model in Loop Quantum Cosmology. Classical and Quantum Gravity, 21, 3541-3569. Retrieved from http://www.iop.org/EJ/article/0264-9381/21/14/015/cqg4_14_015.pdf.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-511C-A

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.