Nonlinear evolution of density perturbations using approximate constancy of gravitational potential

Details Nonlinear evolution of density perturbations using approximate constancy of gravitational potential Nonlinear evolution of density perturbations using approximate constancy of gravitational potential

1993-04-16

arxiv.org/abs/gr-qc/9304021v3

Mon.Not.Roy.Astron.Soc. 266 (1994) 227

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, TeX, 6 figures available on request, IUCAA -14/93( Corrections for mailing error)

Scientific paper

During the evolution of density inhomogeneties in an $\Omega=1$, matter dominated universe, the typical density contrast changes from $\delta\simeq 10^{-4}$ to $\delta\simeq 10^2$. However, during the same time, the typical value of the gravitational potential generated by the perturbations changes only by a factor of order unity. This significant fact can be exploited to provide a new, powerful, approximation scheme for studying the formation of nonlinear structures in the universe. This scheme, discussed in this paper, evolves the initial perturbation using a Newtonian gravitational potential frozen in time. We carry out this procedure for different intial spectra and compare the results with the Zeldovich approximation and the frozen flow approximation (proposed by Mattarrese et al. recently). Our results are in far better agreement with the N-body simulations than the Zeldovich approximation. It also provides a dynamical explanation for the fact that pancakes remain thin during the evolution. While there is some superficial similarity between the frozen flow results and ours, they differ considerably in the velocity information. Actual shell crossing does occur in our approximation; also there is motion of particles along the pancakes leading to further clumping. These features are quite different from those in frozen flow model. We also discuss the evolution of the two-point correlation function in various approximations.

Affiliated with

Also associated with

No associations

Rating

Nonlinear evolution of density perturbations using approximate constancy of gravitational potential does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlinear evolution of density perturbations using approximate constancy of gravitational potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear evolution of density perturbations using approximate constancy of gravitational potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-190207