Non-Linear Theory of Gravitational Instability in the Expanding Universe. III

Physics

Scientific paper

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Scientific paper

First it is indicated that, at the radiation-dominated stage of the expanding universe, two ways should be distinguished for the evolution of the second-order density waves most naturally associated with the first-order rotational and gravitational waves, and the behavior of an isolated eddy is examined for a comparison with those of periodically distributed eddies. Next the second-order waves associated with rotational, density and their mixed waves at the intermediate stage (before and after the decoupling epoch t_D) are analyzed and the rapidity of compression due to the inertial force appearing soon after t_D is calculated. Finally the possibility of galaxy formation is examined on the basis of the above analysis. Moreover a possibility for comparatively small galaxies to be formed through the cascade due to non-linear process is considered.

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