Master Thesis: Dynamics of Discrete Irregular Cosmological Models
Monday 15 December 2014
to 12:00 at
Shan Jolin (Stockholm University, Department of Physics)
This thesis investigates the dynamics of a set of Schwarzschild masses, numbering from 8 to 600, randomly distributed inside cells which tessellate a 3-sphere. Furthermore the contents of each cell are mirror images of its neighbor. This symmetry give rise to a locally rotationally symmetric (LRS) curve, along which the Einstein field equations governing dynamics can be exactly integrated. The result is an irregular model consisting of discrete matter content, but where the dynamics is easy to calculate. We see that these local inhomogeneities will cause behavior deviating from the spherical dust-filled FLRW model. For instance, there are cases where configurations exhibit acceleration along the LRS curve, even though the content consists solely of ordinary matter with vacuum exterior to the masses and no cosmological constant.