2003/03/31 by Andrzej Krasiński, Andrzej Krasinski, Charles Hellaby · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #gr-qc
paper · pdf · doi:10.1103/physrevd.69.023502
published as Phys.Rev.D69:023502,2004 · LaTeX 2e with eps figures. 30 pages, 11 figures, 30 figure files. Revision matches published version
openalex publication_date 2004/01/09 · arxiv created 2009/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In continuing our earlier research, we find the formulas needed to determine the arbitrary functions in the Lema\\itre-Tolman (LT) model when the evolution proceeds from a given initial velocity distribution to a final state that is determined either by a density distribution or by a velocity distribution. In each case the initial and final distributions uniquely determine the LT model that evolves between them, and the sign of the energy function is determined by a simple inequality. We also show how the final density profile can be more accurately fitted to observational data than was done in our previous paper. We work out new numerical examples of the evolution: the creation of a galaxy cluster out of different velocity distributions, reflecting the current data on temperature anisotropies of cosmic microwave background, the creation of the same out of different density distributions, and the creation of a void. The void in its present state is surrounded by a nonsingular wall of high density.