Prohibition of large inhomogeneity in the preinflationary stage

Physics

Scientific paper

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Particle-Theory And Field-Theory Models Of The Early Universe, Initial Value Problem, Existence And Uniqueness Of Solutions

Scientific paper

We examine the spherically symmetric and asymptotically spatially flat inhomogeneous initial data of an inflaton field to see its effect on the evolution of space-time. We search for the apparent horizon in those initial data and show the relation of the scale of inhomogeneity and the amplitude of the inflaton field to the formation of a horizon. We find that for a certain range of Hubble constant there is no regular initial condition but the ``bag of gold singularity'' appears if the inhomogeneity of the inflaton field is large enough (δφ>~mPl).

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