Ricci flow for homogeneous compact models of the universe

Details Ricci flow for homogeneous compact models of the universe Ricci flow for homogeneous compact models of the universe

2010-03-07

arxiv.org/abs/1003.1516v2

Physics

Mathematical Physics

18 pages, 2 figures

Scientific paper

Using quaternions, we give a concise derivation of the Ricci tensor for homogeneous spaces with topology of the 3-dimensional sphere. We derive explicit and numerical solutions for the Ricci flow PDE and discuss their properties. In the collapse (or expansion) of these models, the interplay of the various components of the Ricci tensor are studied. We dedicate this paper to honor the work of Josh Goldberg.

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