Physics – Fluid Dynamics
Scientific paper
Sep 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..48.2431z&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 48, Issue 6, 15 September 1993, pp.2431-2442
Physics
Fluid Dynamics
5
Origin And Formation Of The Universe, Other Topics In General Relativity And Gravitation, Relativistic Fluid Dynamics
Scientific paper
Fluctuation-dissipation theorems of the Landau-Lifshitz type are applied to cosmological perturbations about a homogeneous and isotropic background universe. A gauge-invariant perturbation theory is used to describe dissipative effects due to shear viscosity and bulk viscosity and the corresponding random fluctuations. All basic gauge-invariant quantities are physically identified on comoving hypersurfaces. The spectrum of adiabatic energy density fluctuations on superhorizon scales is calculated. A k4 power spectrum (k=comoving wave number) is shown to be a necessary consequence of a nonvanishing shear viscosity in the early universe with an equation of state p=ɛ/3. Bulk viscosity is connected with a k-independent spectrum. The possible relevance of this spectrum for the theory of galaxy formation is discussed and its relation to the Harrison-Zel'dovich spectrum is clarified.
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