From pp-Waves to Galilean Spacetimes
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.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211908 |
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| 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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862553037893009408 |
|---|---|
| author | Figueroa-O'Farrill, José Grassie, Ross Prohazka, Stefan |
| author_facet | Figueroa-O'Farrill, José Grassie, Ross Prohazka, Stefan |
| citation_txt | From pp-Waves to Galilean Spacetimes. José Figueroa-O'Farrill, Ross Grassie and Stefan Prohazka. SIGMA 19 (2023), 035, 16 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2026-03-13T05:07:48Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211908 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T05:07:48Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Figueroa-O'Farrill, José Grassie, Ross Prohazka, Stefan 2026-01-16T10:57:02Z 2023 From pp-Waves to Galilean Spacetimes. José Figueroa-O'Farrill, Ross Grassie and Stefan Prohazka. SIGMA 19 (2023), 035, 16 pages 1815-0659 2020 Mathematics Subject Classification: 22F30; 53C30; 53Z05 arXiv:2208.07627 https://nasplib.isofts.kiev.ua/handle/123456789/211908 https://doi.org/10.3842/SIGMA.2023.035 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. We are grateful to Dieter Van den Bleeken, who spotted an erroneous claim in an earlier version of this note. JMF would like to acknowledge many useful discussions with Can Görmez and Dieter Van den Bleeken on related topics leading up to [10]. In addition, we are grateful to an anonymous referee for a critical reading of the manuscript and a number of insightful comments and suggestions. SP was supported by the Leverhulme Trust Research Project Grant (RPG-2019-218) “What is Non-Relativistic Quantum Gravity and is it Holographic?”. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications From pp-Waves to Galilean Spacetimes Article published earlier |
| spellingShingle | From pp-Waves to Galilean Spacetimes Figueroa-O'Farrill, José Grassie, Ross Prohazka, Stefan |
| title | From pp-Waves to Galilean Spacetimes |
| title_full | From pp-Waves to Galilean Spacetimes |
| title_fullStr | From pp-Waves to Galilean Spacetimes |
| title_full_unstemmed | From pp-Waves to Galilean Spacetimes |
| title_short | From pp-Waves to Galilean Spacetimes |
| title_sort | from pp-waves to galilean spacetimes |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211908 |
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