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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2023 Volume 19, 035, 16 pp. (Mi sigma1930)

This article is cited in 1 paper

From pp-Waves to Galilean Spacetimes

José Figueroa-O'Farrilla, Ross Grassieb, Stefan Prohazkaa

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

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.

Keywords: pp-waves, Galilean spacetimes, null reduction.

MSC: 22F30, 53C30, 53Z05

Received: October 27, 2022; in final form May 22, 2023; Published online June 3, 2023

Language: English

DOI: 10.3842/SIGMA.2023.035


ArXiv: 2208.07627


© Steklov Math. Inst. of RAS, 2024