Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadata

Cited literature [39 references]  Display  Hide  Download

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

File

1702.08284.pdf
Files produced by the author(s)

Identifiers

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

Collections

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. ⟨hal-01504485⟩

Share

Metrics

Record views

213

Files downloads

168