2014/10/01 by David Vrba, Otakar Svitek, Otakar Svítek · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Curvature #Density contrast #Differential geometry #Function (biology) #Geometric Analysis and Curvature Flows #Initial value problem #Singularity #Space (punctuation) #Space time #Spacetime #gr-qc #msc:83C15 #msc:83F05
paper · pdf · doi:10.1007/s10714-014-1808-x
published as Gen. Rel. Grav. 46 (2014) 1808 · 7 figures
openalex publication_date 2014/10/01 · arxiv created 2014/12/22 · arxiv updated 2014/12/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the behaviour of the density contrast in quasi-spherical Szekeres spacetime and derive its analytical behaviour as a function of t and r. We set up the inhomogeneity using initial data in the form of one extreme value of the density and the radial profile. We derive conditions for density extremes that are necessary for avoiding the shell crossing singularity and show that in the special case of a trivial curvature function, the conditions are preserved by evolution. We also show that in this special case if the initial inhomogeneity is small, the time evolution does not influence the density contrast, however its magnitude homogeneously decreases.