From pp-Waves to Galilean Spacetimes

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• ISSN: 1815-0659
• Main Authors: Figueroa-O'Farrill, José, Grassie, Ross, Prohazka, Stefan
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211908
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: From pp-Waves to Galilean Spacetimes. José Figueroa-O'Farrill, Ross Grassie and Stefan Prohazka. SIGMA 19 (2023), 035, 16 pages

We exhibit all spatially isotropic homogeneous Galilean spacetimes of dimension ( + 1) ≥ 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.