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General Relativity and Quantum Cosmology

arXiv:0711.2086 (gr-qc)
[Submitted on 13 Nov 2007]

Title:Numerical solutions to lattice-refined models in loop quantum cosmology

Authors:Subir Sabharwal, Gaurav Khanna
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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.
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0711.2086 [gr-qc]
  (or arXiv:0711.2086v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.2086
Journal reference: Class.Quant.Grav.25:085009,2008
Related DOI: https://doi.org/10.1088/0264-9381/25/8/085009

Submission history

From: Gaurav Khanna [view email]
[v1] Tue, 13 Nov 2007 22:15:10 UTC (449 KB)
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