The Dominant Balance at Cosmological Singularities

Details The Dominant Balance at Cosmological Singularities The Dominant Balance at Cosmological Singularities

2006-08-31

arxiv.org/abs/gr-qc/0608137v1

J.Phys.Conf.Ser.68:012004,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, to appear in the Proceedings of the Greek Relativity Meeting NEB12, June 29-July 2, 2006, Nauplia, Greece

Scientific paper

10.1088/1742-6596/68/1/012004

We define the notion of a finite-time singularity of a vector field and then discuss a technique suitable for the asymptotic analysis of vector fields and their integral curves in the neighborhood of such a singularity. Having in mind the application of this method to cosmology, we also provide an analysis of the time singularities of an isotropic universe filled with a perfect fluid in general relativity.

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