The Newtonian limit of general relativity and structure formation

by Dr Syksy Rasanen (U. of Geneva)

Wednesday 2 Jul 2008, 11:00 → 12:00 Europe/Zurich

1/1-025 (CERN)

The limit of general relativity with small velocities and locally weak gravity is not Newtonian gravity, but Newtonian gravity plus extra degrees of freedom and extra constraints. This has implications for cosmology. I will discuss the issue with a couple of examples, concentrating on how this subtlety relates to the effect of structure formation on the expansion of the universe.

References:

• "Newtonian evolution of the Weyl tensor", G.F.R. Ellis and P.K.S. Dunsby, astro-ph/9410001
• "Theorems on shear-free perfect fluids with their Newtonian analogues", J.M.M. Senovilla, C.F. Sopuerta and P. Szekeres, gr-qc/9702035
• "Anisotropic Homogeneous Cosmologies in the Post-Newtonian Approximation", Tamath Rainsford, gr-qc/0007061
• "Evaluating backreaction with the peak model of structure formation" (section 5.2), Syksy Rasanen, arXiv:0801.2692