General framework of higher order gauge invariant perturbation theory

Details General framework of higher order gauge invariant perturbation theory General framework of higher order gauge invariant perturbation theory

2004-02-05

arxiv.org/abs/gr-qc/0402032v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Prepared for the proceeding of the 13th Workshop on General Relativity and Gravitation in Japan (Osaka City University). 4 pag

Scientific paper

Based on the gauge invariant variables proposed in [K. Nakamura, Prog. Theor. Phys. vol.110 (2003), 723.], general framework of the second order gauge invariant perturbation theory on arbitrary background spacetime is considered. We derived formulae of the perturbative Einstein tensor of each order, which have the similar form to the definitions of gauge invariant variables for arbitrary perturbative fields. As a result, each order Einstein equation is necessarily given in terms of gauge invariant variables.

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