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

Physics

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Astronomical Models, Big Bang Cosmology, Boundary Value Problems, Space-Time Functions, Field Theory (Physics), Galactic Evolution, Inhomogeneity, Perturbation Theory, Relativity

Scientific paper

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.

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