3 papers
gr-qc2025
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…
gr-qc2025
"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…
gr-qc2025
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…