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Third-order perturbative solutions in the Lagrangian perturbation theory with pressure II: Effect of the transverse modes

Takayuki Tatekawa
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Abstract

Lagrangian perturbation theory for cosmological fluid describes structure formation in the quasi-nonlinear stage well. In a previous paper, we presented a third-order perturbative equation for Lagrangian perturbation with pressure. There we considered only the longitudinal modes for the first-order perturbation. In this paper, we generalize the perturbation, i.e., we consider both the longitudinal and the transverse modes for the first-order perturbation. Then we derive third-order perturbative equations and solutions.

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Takayuki Tatekawa. 2005-06-21. Third-order perturbative solutions in the Lagrangian perturbation theory with pressure II: Effect of the transverse modes. https://doi.org/10.1103/physrevd.72.024005

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