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arXiv · 1302.0043

Linearized gravitational waves near space-like and null infinity

Florian Beyer·Georgios Doulis·Jörg Frauendiener·Ben Whale
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Abstract

Linear perturbations on Minkowski space are used to probe numerically the remote region of an asymptotically flat space-time close to spatial infinity. The study is undertaken within the framework of Friedrich's conformal field equations and the corresponding conformal representation of spatial infinity as a cylinder. The system under consideration is the (linear) zero-rest-mass equation for a spin-2 field. The spherical symmetry of the underlying background is used to decompose the field into separate non-interacting multipoles. It is demonstrated that it is possible to reach null-infinity from initial data on an asymptotically Euclidean hyper-surface and that the physically important radiation field can be extracted accurately on $\scri^+$.

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Florian Beyer, Georgios Doulis, Jörg Frauendiener, Ben Whale. 2013-02-01. Linearized gravitational waves near space-like and null infinity. https://arxiv.org/abs/1302.0043

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