Open Access
VOL. 10 | 2009 Dynamical Systems Techniques in Cosmology. An Example: LQC and the Einstein Static Universe
Chapter Author(s) Luca Parisi
Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka
Geom. Integrability & Quantization, 2009: 211-226 (2009) DOI: 10.7546/giq-10-2009-211-226

Abstract

Dynamical Systems theory is a valuable tool in the study of Cosmology, indeed qualitative methods allow to characterize cosmological solutions on the basis of their relevant physical features (e.g., stability and asymptotic behaviour). Here we briefly review some well established results for cosmological models in the framework of General Relativity. Then we consider a family of modified cosmological models which are gaining more and more relevance, namely Loop Quantum Cosmologies. In particular we analyze the geometrical structure and dynamical properties of the model presented in [13].

Information

Published: 1 January 2009
First available in Project Euclid: 13 July 2015

zbMATH: 1183.83025
MathSciNet: MR2757836

Digital Object Identifier: 10.7546/giq-10-2009-211-226

Rights: Copyright © 2009 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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