Cosmic turbulence

Mathematics

Scientific paper

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Astronomical Models, Cosmology, Turbulence, Universe, Hydrodynamic Equations, Kolmogoroff Theory, Microwaves, Navier-Stokes Equation, Recombination Reactions, Time Dependence, Transformations (Mathematics)

Scientific paper

Cosmological turbulence against the background of a Friedman-Robertson-Walker cosmological model is considered. A generalization of a transformation originally found by Kurskov and Ozernoi (1974) is used to reduce the problem to one in a nonexpanding fluid and to rewrite the hydrodynamic equations governing subsonic turbulence in the model as Navier-Stokes equations with a time-dependent viscosity. The evolution of cosmic turbulence before and after recombination is analyzed, taking into account interaction with the microwave background and the concept that motions which survive damping before and during recombination may be 'frozen' after recombination. The results show that the establishment of a Kolmogorov spectrum at recombination appears to be incompatible with the subsonic conditions usually assumed to prevail before recombination.

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