Linear perturbation theory and spherical overdensities in Lambda unequal to 0 Friedmann models

Mathematics – Logic

Scientific paper

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Cosmology, Hubble Constant, Perturbation Theory, Spheres, Galactic Clusters, Radial Velocity, Red Shift

Scientific paper

This paper presents various analytical results concerning the properties of large-scale structures in Friedmann models with a positive cosmological constant Lambda. It shows, using linear perturbation theory, that for given density contrast delta and density parameter Omega the effect of Lambda on the peculiar velocity field is at the most of order a few percent. It also shows that the number counts of galaxies inside the zero-velocity surface of spherical perturbations are nearly independent of Lambda. These results support the conclusion of two previous papers, that the cosmological constant Lambda leaves little observable signature in the current dynamical state of the large-scale structure of the universe.

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