Numerical solutions to lattice-refined models in loop quantum cosmology
General Relativity and Quantum Cosmology
2008-11-26 v1
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.
Keywords
Cite
@article{arxiv.0711.2086,
title = {Numerical solutions to lattice-refined models in loop quantum cosmology},
author = {Subir Sabharwal and Gaurav Khanna},
journal= {arXiv preprint arXiv:0711.2086},
year = {2008}
}