r - qc / 0 10 60 96 v 1 2 9 Ju n 20 01 Structure formation in the Lemâıtre - Tolman model I Andrzej
نویسنده
چکیده
Structure formation within the Lemâıtre-Tolman model is investigated in a general manner. We seek models such that the initial density perturbation within a homogeneous background has a smaller mass than the structure into which it will develop, and the perturbation then accretes more mass during evolution. This is a generalisation of the approach taken by Bonnor in 1956. It is proved that any two spherically symmetric density profiles specified on any two constant time slices can be joined by a Lemâıtre-Tolman evolution, and exact implicit formulae for the arbitrary functions that determine the resulting L-T model are obtained. Examples of the process are investigated numerically. gr-qc/0106096 Sumitted to Phys. Rev. D, 29/6/01 PACS: 98.80.-k Cosmology, 98.62.Ai Formation of galaxies, 98.65.-r Large scale structure of the universe
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تاریخ انتشار 2001