Short note on second-order gauge-invariant cosmological perturbation theory

Details Short note on second-order gauge-invariant cosmological perturbation theory Short note on second-order gauge-invariant cosmological perturbation theory

2006-12-07

arxiv.org/abs/gr-qc/0612040v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, no figure, LaTeX, Prepared for the proceedings of the 16th workshop on general relativity and gravitation in Japan (N

Scientific paper

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.

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