Structure Formation in the LEMAîTRE-TOLMAN Cosmological Model (a Non-Perturbative Approach)

Details Structure Formation in the LEMAîTRE-TOLMAN Cosmological Model (a Non-Perturbative Approach) Structure Formation in the LEMAîTRE-TOLMAN Cosmological Model (a Non-Perturbative Approach)

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006tmpg.conf..279k&link_type=abstract

Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebański. Proceedings of 2002 International

Mathematics

Mathematical Physics

Scientific paper

Structure formation is described by a Lemaître-Tolman model such that the initial density perturbation within a homogeneous background has a smaller mass than the structure into which it will develop, and accretes more mass during evolution. It is proved that any two spherically symmetric density profiles specified on any two constant time slices can be joined by a Lemaître-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.

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