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Isotropic cosmological singularities: other matter models

K P Tod

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Isotropic cosmological singularities are singularities which can be removed by rescaling the metric. In some cases already studied, the existence and uniqueness of cosmological models with data at the singularity has been established (Anguige K and Tod K P 1999 Ann. Phys., NY 276 257–93, 294–320, Anguige K 2000 Ann. Phys., NY 285 395–419). These were cosmologies with, as source, either perfect fluids with linear equations of state or massless, collisionless particles. In this paper, we consider how to extend these results to a variety of other matter models. These are scalar fields, massive collisionless matter, the Yang–Mills plasma given by Choquet-Bruhat (Choquet-Bruhat Y 1996 Yang–Mills plasmas Global Structure and Evolution in General Relativity (Springer Lecture Notes in Physics vol 460) ed S Cotsakis and G W Gibbons (Berlin: Springer)) and matter satisfying the Einstein–Boltzmann equation.


PACS

04.20.Dw Singularities and cosmic censorship

98.80.-k Cosmology

MSC

83C75 Space-time singularities, cosmic censorship, etc.

83F05 Cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 3 (7 February 2003)

Received 6 November 2002

Published 16 January 2003



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