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The Dominant Balance at Cosmological Singularities

Spiros Cotsakis·John D. Barrow
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Abstract

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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Spiros Cotsakis, John D. Barrow. 2006-08-31. The Dominant Balance at Cosmological Singularities. https://doi.org/10.1088/1742-6596%2F68%2F1%2F012004

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