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Construction of gauge-invariant variables for linear-order metric perturbations on some background spacetimes

Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. We show the fact that the linear-order metric perturbation is decomposed into gauge-invariant and gauge-variant parts, which was the important premise of this general framework. This means that the development the higher-order gauge-invariant perturbation theory on generic background spacetime is possible.

preprint2010arXivOpen access
Kouji Nakamura
astro-ph.COmath-phmath.MPgr-qchep-th
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Kouji Nakamura

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