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Instabilities in numerical loop quantum cosmology

Jessica Rosen·Jae-Hun Jung·Gaurav Khanna
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Abstract

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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Jessica Rosen, Jae-Hun Jung, Gaurav Khanna. 2006-07-11. Instabilities in numerical loop quantum cosmology. https://doi.org/10.1088/0264-9381%2F23%2F23%2F028

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