# Carroll symmetry of plane gravitational waves

2 CPT - E2 Géométrie, Physique et Symétries
CPT - Centre de Physique Théorique - UMR 7332
Abstract : 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.
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Article dans une revue
Classical and Quantum Gravity, IOP Publishing, 2017, 34 (17), pp.175003. <http://stacks.iop.org/0264-9381/34/i=17/a=175003>

https://hal.archives-ouvertes.fr/hal-01504485
Contributeur : Christian Duval <>
Soumis le : lundi 10 avril 2017 - 11:15:03
Dernière modification le : lundi 31 juillet 2017 - 17:19:29

### Identifiants

• HAL Id : hal-01504485, version 1
• ARXIV : 1702.08284

### Citation

Christian Duval, G. W. Gibbons, P. A. Horvathy, P. -M. Zhang. Carroll symmetry of plane gravitational waves. Classical and Quantum Gravity, IOP Publishing, 2017, 34 (17), pp.175003. <http://stacks.iop.org/0264-9381/34/i=17/a=175003>. <hal-01504485>

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