Instabilities in numerical loop quantum cosmology

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.

6 pages, 8 figures

References in corpus (1)

• Wave functions for the Schwarschild black hole interior

Cited by in corpus (8)

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• Numerical solutions to lattice-refined models in loop quantum cosmology
• Unique factor ordering in the continuum limit of LQC
• Unstable Anisotropic Loop Quantum Cosmology
• Lattice refinement in loop quantum cosmology