Singularities in spherically symmetric cosmological models and the horizon problem

Mathematics – Logic

Scientific paper

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Scientific paper

The horizon problem develops sooner or later in any cosmological model exhibiting a spacelike singularity, such as that occuring in standard FLRW universes. Any permanent solution to this problem much involve models with timelike or null singularities. We show that such singularities can either be a shell cross which is timelike and is the characteristic of delayed Big-Bang models or occur in spherically symmetric inhomogeneous primordial universes satisfying the dominant energy condition and exhibiting a singularity of power-law type and the stress-energy tensor of a radiative perfect fluid.

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