The travelling wavelets approach to gravitational instability theory: one-dimensional wavelets

We apply the travelling wavelets method to gravitational instability theory for the investigation of large-scale structure formation in cosmology. As the first step of our approach, the method is first applied to the 1D cosmological Euler-Poisson equation system. We test the stability of the linear...

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Bibliographic Details
Published in:Monthly notices of the Royal Astronomical Society 1999-02, Vol.302 (4), p.807-820
Main Authors: Benhamidouche, N., Torrésani, B., Triay, R.
Format: Article
Language:English
Subjects:
Astrophysics
cosmology: theory
galaxies: formation
General Relativity and Quantum Cosmology
gravitation
instabilities
Physics
Sciences of the Universe
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Summary:We apply the travelling wavelets method to gravitational instability theory for the investigation of large-scale structure formation in cosmology. As the first step of our approach, the method is first applied to the 1D cosmological Euler-Poisson equation system. We test the stability of the linear (evolution) regime in this plane-symmetric case. As a result, our analysis confirms the existence of the linear regime for some configurations of fields describing the evolution of cosmological structures. Moreover, it provides us with estimates for the delay needed for structures of given scale and magnitude to deviate from the linear regime. We also exhibit other configurations for which the linear approximation is not valid at any time. In particular, density defaults (i.e. holes) turn out to be highly non-linear structures that dominate the evolution.
ISSN:0035-8711
1365-2966
DOI:10.1046/j.1365-8711.1999.02185.x