42 citations · 301 across the 30 of their papers we have counts for
31 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…
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…
Various disguises of the Pais-Uhlenbeck oscillator
Mahmut Elbistan, Krzysztof Andrzejewski
Beginning with a simple set of planar equations, we discuss novel realizations of the Pais-Uhlenbeck oscillator in various contexts. First, due to the bi-Hamiltonian character of t…
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…
A generalized Noether theorem for scaling symmetry
P. -M. Zhang, M. Elbistan, P. A. Horvathy +1
The recently discovered conserved quantity associated with Kepler rescaling is generalised by an extension of Noether's theorem which involves the classical action integral as an a…
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…
Marchenko method with incomplete data and singular nucleon scattering
Mahmut Elbistan, Pengming Zhang, Janos Balog
We apply the Marchenko method of quantum inverse scattering to study nucleon scattering problems. Assuming a type repulsive core and comparing our results to the Reid93 phe…
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…
Neutron-proton scattering and singular potentials
Mahmut Elbistan, Pengming Zhang, Janos Balog
We consider a Bargmann-type rational parametrization of the nucleon scattering phase shifts. Applying Marchenko's method of quantum inverse scattering we show that the scattering d…
Optical helicity and Hertz vectors
Mahmut Elbistan
We study the conserved quantity associated with the dual symmetry of the Maxwell equations, called the optical helicity, by means of transverse Hertz vectors. In the presence of ch…
Effective potential for relativistic scattering
Mahmut Elbistan, Pengming Zhang, Janos Balog
We consider quantum inverse scattering with singular potentials and calculate the Sine-Gordon model effective potential in the laboratory and centre-of-mass frames. The effective p…
Duality and helicity: a symplectic viewpoint
M. Elbistan, C. Duval, P. A. Horvathy +1
The theorem which says that helicity is the conserved quantity associated with the duality symmetry of the vacuum Maxwell equations is proved by viewing electromagnetism as an infi…
Duality and helicity: the photon wave function approach
M. Elbistan, P. A. Horvathy, P. -M. Zhang
The photon wave equation proposed in terms of the Riemann-Silberstein vector is derived from a first-order Dirac/Weyl-type action principle. It is symmetric w.r.t. duality transfor…
Topological Numbers and the Weyl Semimetal
Mahmut Elbistan
Generalized Dirac monopoles in momentum space are constructed in even d+1 dimensions from the Weyl Hamiltonian in terms of Green's functions. In 3+1 spacetime dimensions, the (unit…
Helicity of spin-extended chiral particles
M. Elbistan, C. Duval, P. A. Horvathy +1
The helicity of a free massless relativistic particle, , is generalized, for a particle in an electromagnetic field, to ,…
Anomalous properties of spin-extended chiral fermions
M. Elbistan, P. A. Horvathy
The spin-extended semiclassical chiral fermion (we call the S-model), which had been used to derive the twisted Lorentz symmetry of the "spin-enslaved" chiral fermion (we call the…