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Instabilities in numerical loop quantum cosmology
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DOI：10.1088/0264-9381/23/23/028.png)
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Abstract
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In this paper, we perform the 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 locally rotationally symmetric (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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