Journal
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Abstracts
The Einstein field equations for the Friedmann universe reduce to a system of three first-order equations for the space-like components and a constraint from the temporal component. We analyse the system from the viewpoints of symmetry and singularity analyses. The solutions of particular relevance to Cosmology are highlighted.
Publisher
Journal
Year
Volume
Issue
Pages
469-478
Physical description
Dates
published
1 - 9 - 2008
online
17 - 7 - 2008
Contributors
author
- Department of Information and Communication Systems Engineering, University of the Aegean, Karlovassi, GR-83200, Samos, Greece
author
References
- [1] L.D. Landau, E.M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1987)
- [2] A. Linde, Particle Physics and Inflationary Cosmology (Harwood Academic Publishers, Amsterdam, 1990)
- [3] M.P. Ryan Jr, L.C. Shepley, Homogeneous Relativistic Cosmologies (Princeton University Press, Princeton, New Jersey, 1975)
- [4] S. Cotsakis, J.D. Barrow, The dominant balance at cosmological singularities Proceedings of the Greek Relativity meeting NEB12 (2006)
- [5] M.J. Ablowitz, A. Ramani, H. Segur, J. Mat. Phys. 21 715 (1980) http://dx.doi.org/10.1063/1.524491[Crossref]
- [6] A. Ramani, B. Grammaticos, T. Bountis, Phys. Rep. 180, 159 (1989) http://dx.doi.org/10.1016/0370-1573(89)90024-0[Crossref]
- [7] M.C. Nucci, J. Mat. Phys. 37, 1772 (1996) http://dx.doi.org/10.1063/1.531496[Crossref]
- [8] K. Andriopoulos, P.G.L. Leach, G.P. Flessas, J. Math. Anal. Appl. 262, 256 (2001) http://dx.doi.org/10.1006/jmaa.2001.7570[Crossref]
- [9] K. Andriopoulos, Complete symmetry groups and Lie remarkability, In: Symmetry and Perturbation Theory - SPT 2007 G. Gaeta, R. Vitolo, S. Walcher Eds. (World Scientific, Singapore, 2007) 237
- [10] P.G.L. Leach, S. Cotsakis, J. Miritzis, Gravitation & Cosmology 7, 311 (2001)
- [11] J. Miritzis, P.G.L. Leach, Gravitation & Cosmology 6, 282 (2000)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0077-2