Gravitational force distribution in fractal structures
Abstract
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 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.
Keywords
Cite
@article{arxiv.astro-ph/9809234,
title = {Gravitational force distribution in fractal structures},
author = {A. Gabrielli and F. Sylos Labini and S. Pellegrini},
journal= {arXiv preprint arXiv:astro-ph/9809234},
year = {2019}
}
Comments
9 pages, latex, 2 postscript figures, also available at http://www.phys.uniroma1.it/DOCS/PIL/pil.html Accepted for Publication in Europhysics Letters. Minor modifications added