Mathematics – Logic
Scientific paper
Jan 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aas...21743208c&link_type=abstract
American Astronomical Society, AAS Meeting #217, #432.08; Bulletin of the American Astronomical Society, Vol. 43, 2011
Mathematics
Logic
Scientific paper
Vorticity is ubiquitous in nature however, to date, studies of vorticity in cosmology and in the early universe have been quite rare. In this work we use the technique of cosmological perturbation theory to investigate vorticity in the early universe. At first, or linear order, we reproduce the standard result that vorticity decays with the expansion of the universe. However, the higher order theory exhibits a qualitative difference from the linear order theory, namely that different types of perturbation (classified as scalar, vector or tensor) do not decouple. We show that at second order vorticity is sourced by a term quadratic in linear order energy density and entropy perturbations. This is a generalisation of previous work which focused on barotropic fluids, and is an extension of Crocco's theorem from classical fluid dynamics to a cosmological setting.
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