5 papers
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…
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…
"Kepler Harmonies" and conformal symmetries
P. -M. Zhang, M. Cariglia, M. Elbistan +2
Kepler's rescaling becomes, when "Eisenhart-Duval lifted" to -dimensional "Bargmann" gravitational wave spacetime, an ordinary spacetime symmetry for motion along null geodesics…
Sturm-Liouville and Carroll: at the heart of the Memory Effect
P. -M. Zhang, M. Elbistan, G. W. Gibbons +1
For a plane gravitational wave whose profile is given, in Brinkmann coordinates, by a symmetric traceless matrix , the matrix Sturm-Liouville equation $\ddot{P}=KP…
Lukash plane waves, revisited
M. Elbistan, P. M. Zhang, G. W. Gibbons +1
The Lukash metric is a homogeneous gravitational wave which at late times approximates the behaviour of a generic class of spatially homogenous cosmological models with monotonical…