ar X iv : g r - qc / 0 60 70 44 v 1 1 1 Ju l 2 00 6 Instabilities in numerical loop quantum cosmology

نویسنده

  • Gaurav Khanna
چکیده

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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تاریخ انتشار 2006