Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-04-23
Astrophys.J. 493 (1998) 509
Astronomy and Astrophysics
Astrophysics
32 Pages, Submitted to ApJ
Scientific paper
10.1086/305143
We discuss the late time evolution of the gravitational clustering in an expanding universe, based on the nonlinear scaling relations (NSR) which connect the nonlinear and linear two point correlation functions. The existence of critical indices for the NSR suggests that the evolution may proceed towards a universal profile which does not change its shape at late times. We begin by clarifying the relation between the density profiles of the individual halo and the slope of the correlation function and discuss the conditions under which the slopes of the correlation function at the extreme nonlinear end can be independent of the initial power spectrum. If the evolution should lead to a profile which preserves the shape at late times, then the correlation function should grow as $a^2$ [in a $\Omega=1$ universe] een at nonlinear scales. We prove that such exact solutions do not exist; however, ther e exists a class of solutions (``psuedo-linear profiles'', PLP's for short) which evolve as $a^2$ to a good approximation. It turns out that the PLP's are the correlation functions which arise if the individual halos are assumed to be isothermal spheres. They are also configurations of mass in which the nonlinear effects of gravitational clustering is a minimum and hence can act as building blocks of the nonlinear universe. We discuss the implicatios of this result.
Engineer Sunu
Padmanabhan Thanu
No associations
LandOfFree
Nonlinear Gravitational Clustering: dreams of a paradigm 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 Gravitational Clustering: dreams of a paradigm, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear Gravitational Clustering: dreams of a paradigm will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-529124