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Carroll symmetry of plane gravitational waves
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.
Cited literature [39 references]
https://hal.archives-ouvertes.fr/hal-01504485
Contributor : Christian Duval Connect in order to contact the contributor
Submitted on : Wednesday, April 25, 2018 - 3:22:34 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:10 PM
Long-term archiving on: : Tuesday, September 25, 2018 - 4:17:14 AM
Contributor : Christian Duval Connect in order to contact the contributor
Submitted on : Wednesday, April 25, 2018 - 3:22:34 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:10 PM
Long-term archiving on: : Tuesday, September 25, 2018 - 4:17:14 AM
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1702.08284.pdf
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