Non-linear vorticity-density coupling in Lagrangian dynamics

Astronomy and Astrophysics – Astrophysics

Scientific paper

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15 pages; submitted to Progress of Theoretical Physics

Scientific paper

10.1143/PTP.99.585

We present a general Lagrangian formalism that allows the treatment of
vorticity. We give solutions for the rotational perturbations up to the
third-order in a flat background universe. We show how the primordial vorticity
affects the evolution of the density fluctuation in high-density regions.

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