MG13 - Talk detail |
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Participant |
Nakamura, Kouji | |||||||
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Institution |
National Astronomical Observatory of Japan - 2-21-1 Osawa - Mitaka - Tokyo - Japan | |||||||
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Session |
AN1 |
Accepted |
Yes |
Order |
9 |
Time |
17:45 - 18:10 | |
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Talk |
Oral abstract |
Title |
Construction of gauge-invariant variables for linear metric perturbations on an arbitrary background spacetime | |||||
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Abstract |
An outline of a proof of the decomposition of linear metric perturbations into gauge-invariant and gauge-variant parts on an arbitrary background spacetime is discussed. We explicitly construct the gauge-invariant and gauge-variant parts of the linear metric perturbations through the assumption of the existence of some Green functions. Although these outlines of a proof are mathematically incomplete, yet, due to our assumptions, we propose a conjecture which states that linear metric perturbations on an arbitrary background spacetime is decomposed into their gauge-invariant and gauge-variant parts. If this conjecture is true, we can develop the higher-order gauge-invariant perturbation theory on an arbitrary background spacetime. Remaining issues to complete the general-framework of the higher-order gauge-invariant perturbation theories are also discussed. |
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