Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 19 (2023), 035, 16 pages      arXiv:2208.07627      https://doi.org/10.3842/SIGMA.2023.035

From pp-Waves to Galilean Spacetimes

José Figueroa-O'Farrill a, Ross Grassie b and Stefan Prohazka a
a) Maxwell Institute and School of Mathematics, The University of Edinburgh, James Clerk Maxwell Building, Peter Guthrie Tait Road, Edinburgh EH9 3FD, Scotland, UK
b) Laboratory for Foundations of Computer Science, School of Informatics, The University of Edinburgh, Informatics Forum, 10 Crichton Street, Edinburgh EH8 9AB, Scotland, UK

Received October 27, 2022, in final form May 22, 2023; Published online June 03, 2023

Abstract
We exhibit all spatially isotropic homogeneous Galilean spacetimes of dimension $(n+1) \geq 4$, including the novel torsional ones, as null reductions of homogeneous pp-wave spacetimes. We also show that the pp-waves are sourced by pure radiation fields and analyse their global properties.

Key words: pp-waves; Galilean spacetimes; null reduction.

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