Non-linear vorticity-density coupling in Lagrangian dynamics
Makoto Sasaki, Masumi Kasai
Abstract
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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