hi everyone
http://arxiv.org/abs/1207.2035
Newtonian versus relativistic cosmology
Authors: Samuel F. Flender, Dominik J. Schwarz
Abstract: We show how the relativistic matter and velocity power
spectra behave in different gauges. We construct a new gauge where
both spectra coincide with Newtonian theory on all
scales. However, in this gauge there are geometric quantities
present which do not exist in Newtonian theory, for example the
local variation of the Hubble parameter. Comparing this quantity
to second order Newtonian quantities, we find that Newtonian
theory is wrong on scales larger than 10 Mpc. This undermines the
reliability of Newtonian cosmological N-body simulations on these
scales.
What's surprising is that this is still only *perturbation* theory,
it's not fully relativistic, if I understand the paper correctly.
Fully relativistic calculations still remain to be done.
pozdr
boud
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