activity
20102026
most citedCarroll versus Newton and Galilei: two dual non-Einsteinian concepts of time

316 citations · 844 across the 37 of their papers we have counts for

collaborators
Showing gr-qcShow all

17 papers · 1 filter

gr-qc2026

Gravitational Memory: an approximate description

Q. -L. Zhao, P. -M. Zhang, M. Elbistan +2

Plane gravitational waves play a role both in relativistic and in non-relativisitic physics, highlighted by two different mass parameters. The large-distance behaviour of a sandwic…

gr-qc2026

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…

gr-qc2026

Approximate Models for Gravitational Memory

Q-L Zhao, P. -M. Zhang, M. Elbistan +1

The large-distance approximation of a sandwich gravitational wave by a continuous but not necessarily smooth profile provides us with an approximate analytic description of particl…

gr-qc2025★ 3 cited

Flyby-induced displacement: analytic solution

P. -M. Zhang, Z. K. Silagadze, P. A. Horvathy

The motion of particles hit by a burst of gravitational waves generated by flyby admits, for the derivative-of-the-Gaussian profile, only a numerical description. The profile can h…

gr-qc2024

Gravitational wave memory: further examples

P. -M. Zhang, Q. -L. Zhao, M. Elbistan +1

Ehlers and Kundt [1] argued in favor of the velocity effect: particles initally at rest hit by a burst of gravitational waves should fly apart with constant velocity after the wave…

gr-qc2024★ 1 cited

Displacement memory for flyby

P. -M. Zhang, Q. -L. Zhao, J. Balog +1

Zel'dovich and Polnarev, in their seminal paper [1] suggested that a gravitational wave generated by flyby would merely displace the particles. We confirm their prediction numerica…

gr-qc2024★ 13 cited

Displacement within velocity effect in gravitational wave memory

P. -M. Zhang, P. A. Horvathy

Particles initially at rest hit by a passing sandwich gravitational wave exhibit, in general, thevelocity memory effect (VM): they fly apart with constant velocity. For specific va…

gr-qc2024★ 2 cited

Conformally related vacuum gravitational waves, and their symmetries

Q. L. Zhao, P. M. Zhang, P. A. Horvathy

A special conformal transformation which carries a vacuum gravitational wave into another vacuum one is built by using Möbius-redefined time. It can either transform a globally def…

gr-qc2023★ 10 cited

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…

gr-qc2023★ 5 cited

MultiCarroll dynamics

P. -M. Zhang, H-X. Zeng, P. A. Horvathy

Unlike a single Carroll particle, a multiparticle Carroll system can move under suitable conditions, as we demonstrate it explicitly for two particles with a momentum-dependent int…

gr-qc2022

Anyonic spin-Hall effect on the Black Hole horizon

Loic Marsot, Peng-Ming Zhang, Peter Horvathy

Using the fact that the horizon of black holes is a Carroll manifold, we show that an ``exotic photon'' i.e. a particle without mass and charge but with anyonic spin, magnetic mome…

gr-qc2021★ 11 cited

Gravitational Waves and Conformal Time Transformations

P. -M. Zhang, Q. -L. Zhao, P. A. Horvathy

Recent interest in the "memory effect" prompted us to revisit the relation of gravitational aves and oscillators. 50 years ago Niederer [1] found that an isotropic harmonic oscilla…

gr-qc2020★ 23 cited

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…

gr-qc2018★ 20 cited

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…

gr-qc2017★ 117 cited

The Memory Effect for Plane Gravitational Waves

P. M. Zhang, C. Duval, G. W. Gibbons +1

We give an account of the gravitational memory effect in the presence of the exact plane wave solution of Einstein's vacuum equations. This allows an elementary but exact descripti…

gr-qc2017★ 81 cited

Carroll symmetry of plane gravitational waves

C. Duval, G. W. Gibbons, P. A. Horvathy +1

The well-known 5-parameter isometry group of plane gravitational waves in dimensions is identified as Levy-Leblond's Carroll group in dimensions with no rotations. Our cl…

gr-qc2014★ 316 cited

Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time

C. Duval, G. W. Gibbons, P. A. Horvathy +1

The Carroll group was originally introduced by Levy-Leblond [1] by considering the limit of the Poincaré group as . In this paper an alternative definition, based on the geo…