Instabilities in numerical loop quantum cosmology

Details Instabilities in numerical loop quantum cosmology Instabilities in numerical loop quantum cosmology

2006-07-11

arxiv.org/abs/gr-qc/0607044v1

Class.Quant.Grav. 23 (2006) 7075-7084

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 8 figures

Scientific paper

10.1088/0264-9381/23/23/028

In this article we perform von Neumann analysis of the difference equations that arise as a result of loop quantum gravity being applied to models of cosmology and black holes. In particular, we study the numerical stability of Bianchi I LRS (symmetric and non-symmetric constraint) and Schwarzschild interior (symmetric constraint) models, and find that there exist domains over which there are instabilities, generically. We also present explicit evolutions of wave-packets in these models and clearly demonstrate the presence of these instabilities.

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