Primordial Irregularities in the Early Universe

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Abstract
In the early universe, there is an “anti-Newtonian stage” when the dimension of an irregularity exceeds the horizon ct, far before the decoupling epoch. In this paper the evolution of an irregularity at this stage is clarified, in which general relativistic non-linearity plays an essential role. It is concluded that the explosion time (or the singular point) of the irregularity depends sensitively on the energy density within it (e.g., the rotational energy density), that the existence of primordial random motions at the later stage leads necessarily to the concept or a “space-time-curvature turbulence” at an extremely early stage when random explosions are raised and that the irregularity in the neighbourhood of its singular point is considerably anisotropic. The significance of this conclusions in the formation of nuclear elements at the early stage is also discussed.

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