Work

Gravitational force distribution in fractal structures

Year: 1999

Type: article

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 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.

Source: Europhysics Letters (EPL)

DOI: 10.1209/epl/i1999-00235-7

Authors: A Gabrielli, F. Sylos Labini, S Pellegrini

Institutions: University of Rome Tor Vergata, Istituto Nazionale di Fisica Nucleare, Sezione di Roma I, Sapienza University of Rome, University of Geneva

Language: English

Topic: Galaxies: Formation, Evolution, Phenomena

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2056623224

FWCI: 1.931

Cites: 8

Cited by: 20

Related to: