On inhomogeneous models of the early universe

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Cosmology, Relativity, Universe, Canonical Forms, Gravitational Collapse, Gravitational Waves, Inhomogeneity, Newton Theory, Wave Propagation

Scientific paper

Although many authors have studied the behavior of homogeneous models near the cosmological singularity, more general inhomogeneous models have not been considered. Some characteristic properties of these models are studied which may be qualitatively different from the homogeneous case. Reviews are given about the anti-Newtonian and post-anti-Newtonian approximation in the general case, including not only a velocity-dominated approximation, but also rotational modes. A simple one-dimensional anisotropic collapse is shown which may appear in the course of evolution. Wave propagation is treated near the singularity, which can appear only in inhomogeneous models. It is shown that, before the Kasner or oscillatory stage, there is a stage in which the propagation is dominant. A canonical formalism for wave propagation is expressed.

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