Scaling and conformal symmetries for plane gravitational waves - Archive ouverte HAL Access content directly
Journal Articles J.Math.Phys. Year : 2020

Scaling and conformal symmetries for plane gravitational waves

, , (1) , (2)
1
2
P.-M. Zhang
  • Function : Author
M. Cariglia
  • Function : Author

Abstract

The isometries of an exact plane gravitational wave are symmetries for both massive and massless particles. Their conformal extensions are, in fact, chrono-projective transformations {introduced earlier by Duval et al. [Classical Quantum Gravity 3, 461 (1986); Classical Quantum Gravity 32(17), 175006 (2015)]} and are symmetries for massless particles. Homotheties are universal chrono-projective symmetries for any profile. Chrono-projective transformations also generate new conserved quantities for the underlying non-relativistic systems in the Bargmann framework. Homotheties play a similar role for the lightlike “vertical” coordinate as isometries play for the transverse coordinates.

Dates and versions

hal-02144335 , version 1 (30-05-2019)

Identifiers

Cite

P.-M. Zhang, M. Cariglia, M. Elbistan, P.A. Horvathy. Scaling and conformal symmetries for plane gravitational waves. J.Math.Phys., 2020, 61 (2), pp.022502. ⟨10.1063/1.5136078⟩. ⟨hal-02144335⟩
61 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More