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Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 035, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.035 (Mi sigma1930) 		 
This article is cited in 1 scientific paper (total 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
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DOI: https://doi.org/10.3842/SIGMA.2023.035
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.
Funding agency Grant number
Leverhulme Trust RPG-2019-218
SP was supported by the Leverhulme Trust Research Project Grant (RPG-2019-218) “What is Non-Relativistic Quantum Gravity and is it Holographic?”.
Received: October 27, 2022; in final form May 22, 2023; Published online June 3, 2023
Document Type: Article
MSC: 22F30, 53C30, 53Z05
Language: English
Citation: José Figueroa-O'Farrill, Ross Grassie, Stefan Prohazka, “From pp-Waves to Galilean Spacetimes”, SIGMA, 19 (2023), 035, 16 pp.
Citation in format AMSBIB
\Bibitem{FigGraPro23}
\by Jos\'e~Figueroa-O'Farrill, Ross~Grassie, Stefan~Prohazka
\paper From pp-Waves to Galilean Spacetimes
\jour SIGMA
\yr 2023
\vol 19
\papernumber 035
\totalpages 16
\mathnet{http://mi.mathnet.ru/sigma1930}
\crossref{https://doi.org/10.3842/SIGMA.2023.035}
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    		Symmetry, Integrability and Geometry: Methods and Applications
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