Numerical solutions to lattice-refined models in loop quantum cosmology

Details Numerical solutions to lattice-refined models in loop quantum cosmology Numerical solutions to lattice-refined models in loop quantum cosmology

2007-11-13

arxiv.org/abs/0711.2086v1

Class.Quant.Grav.25:085009,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/25/8/085009

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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