Carroll symmetry of plane gravitational waves
| Autor: | Christian Duval, Gary W. Gibbons, Peter A. Horvathy, Pengming Zhang |
|---|---|
| Přispěvatelé: | Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), CPT - E2 Géométrie, Physique et Symétries, Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge [UK] (CAM), Laboratoire de Mathématiques et Physique Théorique (LMPT), Université de Tours-Centre National de la Recherche Scientifique (CNRS), Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China (IMP), Université de Tours (UT)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2017 |
| Předmět: |
High Energy Physics - Theory
Physics and Astronomy (miscellaneous) [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] scattering of light Plane wave FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Carroll group 04.20.-q Classical general relativity 02.20.Sv Lie algebras of Lie groups 04.30.-w Gravitational waves 01 natural sciences General Relativity and Quantum Cosmology Light scattering Plane gravitational waves 0103 physical sciences 010306 general physics Mathematical Physics Mathematical physics Physics 010308 nuclear & particles physics Group (mathematics) Plane (geometry) Gravitational wave Metamaterial Mathematical Physics (math-ph) High Energy Physics - Theory (hep-th) Symmetry (geometry) Isometry group |
| Zdroj: | Classical and Quantum Gravity Classical and Quantum Gravity, IOP Publishing, 2017, 34 (17), pp.175003 Classical and Quantum Gravity, 2017, 34 (17), pp.175003 |
| ISSN: | 1361-6382 0264-9381 |
| DOI: | 10.1088/1361-6382/aa7f62 |
| Popis: | The well-known 5-parameter isometry group of plane gravitational waves in $4$ dimensions is identified as Levy-Leblond's Carroll group in $2+1$ dimensions with no rotations. Our clue is that plane waves are Bargmann spaces into which Carroll manifolds can be embedded. We also comment on the scattering of light by a gravitational wave and calculate its electric permittivity considered as an impedance-matched metamaterial. Comment: 15 pages, 3 figures. To appear in Class. Quant. Grav |
| Databáze: | OpenAIRE |
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