A characteristic initial-value problem approach to the formation of inhomogeneities in the early Universe

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, , Citation D S Chellone 1981 J. Phys. A: Math. Gen. 14 2339 DOI 10.1088/0305-4470/14/9/028

0305-4470/14/9/2339

Abstract

Starting from a small perturbation in the initial data for a Robertson-Walker universe, it is shown that, in a small region of space-time, it is possible for large fluctuations to develop in both the metric and physical variables describing the Universe. The initial data are specified on a characteristic hypersurface in a region of perfect fluid filled space-time and the method of analysis of the field equations is based on the techniques introduced by Bondi, van der Burg and Metzner (1962).

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10.1088/0305-4470/14/9/028