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arXiv · 1203.6448

Gauge-invariant variables in general-relativistic perturbations: globalization and zero-mode problem

Kouji Nakamura
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Abstract

An outline of a proof of the local decomposition of linear metric perturbations into gauge-invariant and gauge-variant parts on an arbitrary background spacetime is briefly explained. We explicitly construct the gauge-invariant and gauge-variant parts of the linear metric perturbations based on some assumptions. We also point out the zero-mode problem is an essential problem to globalize of this decomposition of linear metric perturbations. The resolution of this zero-mode problem implies the possibility of the development of the higher-order gauge-invariant perturbation theory on an arbitrary background spacetime in a global sense.

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Kouji Nakamura. 2012-05-17. Gauge-invariant variables in general-relativistic perturbations: globalization and zero-mode problem. https://doi.org/10.1142/s0218271812420047

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