13 papers
Memory Effect for deformed gravitational waves
P. -M. Zhang, M. Elbistan, P. A. Horvathy
Deformations of sandwich gravitational waves are considered. Squeezing a wave with pure displacement (DM) parameters to an impulsive wave, the DM property is lost, leaving us with…
Globally defined Carroll symmetry of gravitational waves
Mahmut Elbistan, Peng-Ming Zhang, Peter Horvathy
The local Carroll symmetry of a gravitational wave found in Baldwin-Jeffery-Rosen coordinates is extended to a globally defined one by switching to Brinkmann coordinates. Two indep…
Scaling and conformal symmetries for plane gravitational waves
P. -M. Zhang, M. Cariglia, M. Elbistan +1
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…
Ion Traps and the Memory Effect for Periodic Gravitational Waves
P. -M. Zhang, M. Cariglia, C. Duval +3
The Eisenhart lift of a Paul Trap used to store ions in molecular physics is a linearly polarized periodic gravitational wave. A modified version of Dehmelt's Penning Trap is in tu…
Memory Effect and Carroll Symmetry: 50 years later
M. Elbistan, P. -M. Zhang, P. A. Horvathy
Particles at rest before the arrival of a burst of gravitational wave move, after the wave has passed, with constant velocity along diverging geodesics. As recognized by Souriau 50…
Geodesic motion in Bogoslovsky-Finsler Spacetimes
M. Elbistan, P. -M. Zhang, N. Dimakis +2
We study the free motion of a massive particle moving in the background of a Finslerian deformation of a plane gravitational wave in Einstein's General Relativity. The deformation…