Asymptotically Plane Wave Spacetimes and their Actions

Details Asymptotically Plane Wave Spacetimes and their Actions Asymptotically Plane Wave Spacetimes and their Actions

2008-01-29

arxiv.org/abs/0801.4412v3

JHEP0804:084,2008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, v2: references added, v3: small changes to concluding discussion, final version to appear in journal

Scientific paper

10.1088/1126-6708/2008/04/084

We propose a definition of asymptotically plane wave spacetimes in vacuum gravity in terms of the asymptotic falloff of the metric, and discuss the relation to previously constructed exact solutions. We construct a well-behaved action principle for such spacetimes, using the formalism developed by Mann and Marolf. We show that this action is finite on-shell and that the variational principle is well-defined for solutions of vacuum gravity satisfying our asymptotically plane wave falloff conditions.

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