Gravitational force distribution in fractal structures

Details Gravitational force distribution in fractal structures Gravitational force distribution in fractal structures

1998-09-18

arxiv.org/abs/astro-ph/9809234v2

Europhys.Lett. 46 (1999) 127-133

Astronomy and Astrophysics

Astrophysics

9 pages, latex, 2 postscript figures, also available at http://www.phys.uniroma1.it/DOCS/PIL/pil.html Accepted for Publication

Scientific paper

10.1209/epl/i1999-00235-7

We study the (newtonian) gravitational force distribution arising from a fractal set of sources. We show that, in the case of real structures in finite samples, an important role is played by morphological properties and finite size effects. For dimensions smaller than d-1 (being $d$ the space dimension) the convergence of the net gravitational force is assured by the fast decaying of the density, while for fractal dimension D>d-1 the morphological properties of the structure determine the eventual convergence of the force as a function of distance. We clarify the role played by the cut-offs of the distribution. Some cosmological implications are discussed.

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