Short note on second-order gauge-invariant cosmological perturbation theory
Abstract
Description
The second order perturbations in Friedmann-Robertson-Walker universe filled with a perfect fluid are completely formulated in the gauge invariant manner without any gauge fixing. All components of the Einstein equations are derived neglecting the first order vector and tensor modes. These equations imply that the tensor and the vector mode of the second order metric perturbations may be generated by the non-linear effects of the Einstein equations from the first order density perturbations.
4 pages, no figure, LaTeX, Prepared for the proceedings of the 16th workshop on general relativity and gravitation in Japan (Niigata, Japan)
4 pages, no figure, LaTeX, Prepared for the proceedings of the 16th workshop on general relativity and gravitation in Japan (Niigata, Japan)