42 citations · 301 across the 30 of their papers we have counts for
13 papers · 1 filter
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…
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…
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…
A 3+1 formulation of the 1/c expansion of General Relativity
Mahmut Elbistan, Efe Hamamci, Dieter Van den Bleeken +1
Expanding General Relativity in the inverse speed of light, 1/c, leads to a nonrelativistic gravitational theory that extends the Post-Newtonian expansion by the inclusion of addit…
Circularly polarized periodic gravitational wave and the Pais-Uhlenbeck oscillator
Mahmut Elbistan
The "Bargmann framework" allows us to prove the equivalence of the Pais-Uhlenbeck oscillator with a spin-zero particle in a circularly polarized periodic gravitational wave. Pushin…
Particle motion in circularly polarized vacuum pp waves
P-M. Zhang, M. Elbistan, P. A. Horvathy
Bialynicki-Birula and Charzynski argued that a gravitational wave emitted during the merger of a black hole binary may be approximated by a circularly polarized wave which may in t…
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…
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…
Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields
K. Andrzejewski, N. Dimakis, M. Elbistan +3
The integrals of the motion associated with conformal Killing vectors of a curved space-time with an additional electromagnetic background are studied for massive particles. They i…
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…
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…