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.
https://hal.archives-ouvertes.fr/hal-01504485
Contributor : Christian Duval
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Submitted on : Wednesday, April 25, 2018 - 3:22:34 PM
Last modification on : Friday, May 4, 2018 - 1:24:37 AM
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