Alternative construction of gauge-invariant variables for linear metric perturbation on general background spacetime

Details Alternative construction of gauge-invariant variables for linear metric perturbation on general background spacetime Alternative construction of gauge-invariant variables for linear metric perturbation on general background spacetime

2011-03-16

arxiv.org/abs/1103.3092v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figure

Scientific paper

Construction of the gauge-invariant variables for the linear metric perturbation, which was proposed in the paper [K. Nakamura, arXiv:1101.1147], is discussed through an alternative approach. Our starting point of the construction of the gauge-invariant variables is an non-trivial non-local decomposition of the linear metric perturbation. Assuming the existence of some Green functions, we reproduce results in the above paper. This supports the consistency of the result and implies that one can develop the general-relativistic higher-order gauge-invariant perturbation theory on general background spacetime.

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