Instabilities in numerical loop quantum cosmology
arXiv:gr-qc/0607044 · doi:10.1088/0264-9381/23/23/028
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
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- Loop quantum black hole
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Cited by in corpus (13)
- Loop Quantum Dynamics of the Schwarzschild Interior
- Lattice refining loop quantum cosmology, anisotropic models and stability
- Lattice Refining Loop Quantum Cosmology and Inflation
- Numerical loop quantum cosmology: an overview
- Numerical solutions to lattice-refined models in loop quantum cosmology
- Numerical techniques for solving the quantum constraint equation of generic lattice-refined models in loop quantum cosmology
- Numerical Techniques in Loop Quantum Cosmology
- Unique factor ordering in the continuum limit of LQC
- Von Neumann stability of modified loop quantum cosmologies
- Unstable Anisotropic Loop Quantum Cosmology
- Lattice refinement in loop quantum cosmology
- Discretisation parameter and operator ordering in loop quantum cosmology with the cosmological constant
- Phenomenology of loop quantum cosmology