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Structuration gravitationnelle en Relativité d'échelle

Abstract : The theory of Scale Relativity can be used to constrain dynamical models of gravitational systems. As a first step, we study the theoretical possibilities induced by the solutions of the generalized Schrödinger equation (which is the form taken by the fundamental equation of dynamics in a fractal space-time). In a second step, these theoretical solutions are used to obtain stationary models of gravitational systems. We analyze : (i) the stellar flows morphogenesis, (ii) the dynamical structure of the Local Group of galaxies and (iii) the dynamics of isolated binary galaxies. A specific work has consisted to build an overall catalogue of binary galaxies from 18 published catalogues. From the analysis of observational data, we point out the existence of original structures in the phase space which are consistent with the structures allowed by the theory. We conclude that the use of the Scale Relativity concepts offer a deeper knowledge of gravitational structures in the universe.
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Contributor : Daniel da Rocha <>
Submitted on : Monday, September 19, 2005 - 5:06:38 PM
Last modification on : Wednesday, September 23, 2020 - 4:36:45 AM
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  • HAL Id : tel-00010204, version 1



Daniel da Rocha. Structuration gravitationnelle en Relativité d'échelle. Astrophysique [astro-ph]. Observatoire de Paris, 2004. Français. ⟨tel-00010204⟩



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