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 \({\mathcal{I}}^{+}\).
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Acknowledgements
This research was supported in part by Marsden grant UOO0922 from the Royal Society of New Zealand. JF wishes to thank the organizers of the ERE2012 meeting in Guimarães for their support.
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Beyer, F., Doulis, G., Frauendiener, J., Whale, B. (2014). Linearized Gravitational Waves Near Space-Like and Null Infinity. In: García-Parrado, A., Mena, F., Moura, F., Vaz, E. (eds) Progress in Mathematical Relativity, Gravitation and Cosmology. Springer Proceedings in Mathematics & Statistics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40157-2_1
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