The mass density contrast in perturbed Friedman-Lemaitre-Robertson-Walker cosmologies
Edward Malec
TL;DR
This paper studies how mass density contrasts evolve in spherical perturbations within flat FLRW cosmologies, considering dark matter and dark energy, and compares results with Newtonian cosmology.
Contribution
It provides a detailed analysis of density contrast evolution including dark energy effects, extending previous Newtonian results to relativistic cosmology.
Findings
Evolution equations match Newtonian results without dark energy.
Dark energy influences the growth of density contrasts.
The analysis applies to flat FLRW models with spherical symmetry.
Abstract
We analyze the evolution of the mass density contrast in spherical perturbations of flat Friedman-Lemaitre-Robertson-Walker cosmologies. Both dark matter and dark energy are included. In the absence of dark energy the evolution equation coincides with that obtained by Bonnor within the ``Newtonian cosmology''.
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Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Galaxies: Formation, Evolution, Phenomena