Non--Linear Dynamics of Irrotational Dust: Eulerian and Lagrangian Approaches

Details Non--Linear Dynamics of Irrotational Dust: Eulerian and Lagrangian Approaches Non--Linear Dynamics of Irrotational Dust: Eulerian and Lagrangian Approaches

1993-10-11

arxiv.org/abs/astro-ph/9310018v1

Astronomy and Astrophysics

Astrophysics

7 pages in Latex with conf_iap.sty (enclosed in this file), Proc. of IX IAP Meeting on Cosmic Velocity Fields, DAPD-289

Scientific paper

Some recently proposed approximations to follow the non--linear evolution of collisionless matter perturbations in the universe are reviewed. The first one, called frozen--flow approximation, is an Eulerian method within Newtonian theory, and is based on neglecting the role of particle inertia compared to the damping implied by the Hubble drag. The second approach is General Relativistic and Lagrangian; it is based on following the evolution of fluid and geometric observables in the rest frame of each fluid element, under the only approximation of neglecting the back--reaction on the system of the gravitational radiation emitted during non--linear collapse.

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