Publikace ÚTF

We present a new approach for averaging in general relativity and cosmology.
After a short reviewof the theory originally taken from the equivalence problem,
we consider two ways of dealing with averaging based on Cartan scalars. We
apply the theory for two different Lemaˆıtre–Tolman–Bondi models. In the first
one, the correlation term behaves as a positive cosmological constant, in the
second example, the leading correlation term behaves like spatial curvature.
We also show the non-triviality of averaging for linearized monochromatic
gravitational wave.