The redshift structure of the big bang in inhomogeneous cosmological models. I - Spherical dust solutions

Physics – Optics

Scientific paper

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Big Bang Cosmology, Red Shift, Cosmic Dust, Geometrical Optics, Space-Time Functions

Scientific paper

The redshift from the big bang in the standard model is always infinite, but in inhomogeneous cosmological models infinite blueshifts are also possible. To avoid such divergent energy fluxes, the authors require that all realistic cosmological models must not display infinite blueshifts. They apply this requirement to the Tolman model (spherically symmetric dust), using the geometrical optics approximation, and assuming that the geodesic tangent vectors may be expanded in power series. It is concluded that the bang time must be simultaneous. The stronger requirement, that only infinite redshifts from the big bang may occur, does not lead to a stronger condition on the metric. Consequences of simultaneity are that no decaying mode fluctuations are possible, and that the only acceptable model which is homogeneous at late times is the Robertson-Walker model.

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