Numerical solutions to lattice-refined models in loop quantum cosmology
arXiv:0711.2086 · doi:10.1088/0264-9381/25/8/085009
Abstract
In this article, we develop an intuitive and efficient, numerical technique to solve the quantum evolution equation of generic lattice-refined models in loop quantum cosmology. As an application of this method, we extensively study the solutions of the recently introduced, lattice-refined anisotropic model of the Schwarzschild interior geometry. Our calculations suggest that the results obtained from the approach are accurate, robust and are in complete agreement with the expectations from the von Neumann stability analysis of the model.
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Cited by in corpus (17)
- Loop quantum cosmology of Bianchi I models
- Quantum Extension of the Kruskal Space-time
- From black holes to white holes: a quantum gravitational, symmetric bounce
- Quantum nature of cosmological bounces
- Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
- Numerical simulations of loop quantum Bianchi-I spacetimes
- Numerical loop quantum cosmology: an overview
- Von-Neumann Stability and Singularity Resolution in Loop Quantized Schwarzschild Black Hole
- Fermions in Loop Quantum Cosmology and the Role of Parity
- Numerical techniques for solving the quantum constraint equation of generic lattice-refined models in loop quantum cosmology
- Hamiltonian formulation and loop quantization of a recent extension of the Kruskal spacetime
- Numerical Techniques in Loop Quantum Cosmology
- Unique factor ordering in the continuum limit of LQC
- Exploring alternatives to the Hamiltonian calculation of the Ashtekar-Olmedo-Singh black hole solution
- Unstable Anisotropic Loop Quantum Cosmology
- Lattice refinement in loop quantum cosmology
- Basis Function Method for Numerical Loop Quantum Cosmology: The Schwarzschild Black Hole Interior