Analysis of an FRW cosmological model

Konstantinos Andriopoulos; Peter Leach

doi:10.2478/s11534-008-0077-2

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Open Physics

2008 | 6 | 3 | 469-478

Article title

Analysis of an FRW cosmological model

Authors

Konstantinos Andriopoulos , Peter Leach

Content

http://www.degruyter.com/view/j/phys.2008.6.issue-3/s11534-008-0077-2/s11534-008-0077-2.pdf [remote]

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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.

Keywords

FRW cosmologies singularity analysis Lie symmetries

Publisher

De Gruyter Open

Journal

Open Physics

Year

2008

Volume

Issue

Pages

469-478

Physical description

Dates

published

1 - 9 - 2008

online

17 - 7 - 2008

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

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-008-0077-2

Identifiers

DOI

10.2478/s11534-008-0077-2