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

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.

10 pages, no figure; accepted for publication in Phys.Rev.D

References in corpus (4)

• New Light on Dark Matter
• Scaling Laws in the Distribution of Galaxies
• Third-order perturbative solutions in the Lagrangian perturbation theory with pressure
• Correspondence between the adhesion model and the velocity dispersion for the cosmological fluid

Cited by in corpus (4)

• The non-perturbative regime of cosmic structure formation
• Transients from initial conditions based on Lagrangian perturbation theory in N-body simulations
• Fourth-order perturbative equations in Lagrangian perturbation theory for a cosmological dust fluid
• The comparison of velocity distribution between Adhesion approximation and the Euler-Jeans-Newton model