Asymptotically Plane Wave Spacetimes and their Actions
High Energy Physics - Theory
2014-11-18 v3 General Relativity and Quantum Cosmology
Abstract
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.
Cite
@article{arxiv.0801.4412,
title = {Asymptotically Plane Wave Spacetimes and their Actions},
author = {Julian Le Witt and Simon F. Ross},
journal= {arXiv preprint arXiv:0801.4412},
year = {2014}
}
Comments
18 pages, v2: references added, v3: small changes to concluding discussion, final version to appear in journal