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The propagation of electromagnetic waves in vacuum is often described within the geometrical optics approximation, which predicts that wave rays follow null geodesics.
1904
Earlier work this paper cites.
A. Papapetrou, Spinning test-particles in general relativity. I, Proc. R. Soc. A 209
1951
Earlier work this paper cites.
W. Tulczyjew, Motion of multipole particles in general relativity theory, Acta Phys. Pol. 18
1959
Earlier work this paper cites.
W. G. Dixon, A covariant multipole formalism for extended test bodies in general relativity, Il Nuovo Cimento (1955-1965) 34
1964
Earlier work this paper cites.
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman San Francisco, 1973) pp. xxvi, 1279 p. :
1973
Earlier work this paper cites.
S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time , Cambridge Monographs on Mathematical Physics (Cambridge University Press, 1973)
1973
Earlier work this paper cites.
J.-M. Souriau, Modele de particule a spin dans le champ électromagnétique et gravitationnel, Ann. Inst. Henri Poincaré A 20
1974
Earlier work this paper cites.
P. Saturnini, Un modèle de particule à spin de masse nulle dans le champ de gravitation , Thesis , Université de Provence (1976)
1976
Earlier work this paper cites.
R. Abraham and J. E. Marsden, Foundations of Mechanics (Benjamin/Cummings Publishing Co., Inc., Advanced Book Program, Reading, Mass., 1978) pp. xxii+m–xvi+806, second edition
1978
Earlier work this paper cites.
J. Audretsch, Trajectories and spin motion of massive spin- 1 2 \frac{1}{2} particles in gravitational fields, J. Phys. A 14
1981
Earlier work this paper cites.
R. Rüdiger, The Dirac equation and spinning particles in general relativity, Proc. R. Soc. A 377
1981
Earlier work this paper cites.
A. A. Bakun, B. P. Zakharchenya, A. A. Rogachev, M. N. Tkachuk, and V. G. Fleǐsher, Observation of a surface photocurrent caused by optical orientation of electrons in a semiconductor, JETP Lett. 40
1984
Earlier work this paper cites.
R. M. Wald, General Relativity (University of Chicago Press, Chicago, IL, 1984) pp. xiii+491
1984
Earlier work this paper cites.
R. Penrose and W. Rindler, Spinors and Space-Time: Two-Spinor Calculus and Relativistic Fields , Vol. 1 (Cambridge University Press, 1987)
1987
Earlier work this paper cites.
G. R. Fowles, Introduction to Modern Optics (Courier Corporation, 1989)
1989
Earlier work this paper cites.
R. G. Littlejohn and W. G. Flynn, Geometric phases in the asymptotic theory of coupled wave equations, Phys. Rev. A 44
1991
Earlier work this paper cites.
P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses (Springer, 1992)
1992
Earlier work this paper cites.
A. V. Dooghin, N. D. Kundikova, V. S. Liberman, and B. Y. Zel’dovich, Optical Magnus effect, Phys. Rev. A 45
1992
Earlier work this paper cites.
V. S. Liberman and B. Y. Zel’dovich, Spin-orbit interaction of a photon in an inhomogeneous medium, Phys. Rev. A 46
1992
Earlier work this paper cites.
S. Chandrasekhar, The Mathematical Theory of Black Holes , Oxford Classic Texts in the Physical Sciences (The Clarendon Press, Oxford University Press, New York, 1998) pp. xxii+646, reprint of the 1992 edition
1992
Earlier work this paper cites.
L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes, Phys. Rev. A 45
1992
Earlier work this paper cites.
V. A. Sharafutdinov, Integral Geometry of Tensor Fields , Inverse and Ill-posed Problems Series (VSP, Utrecht, 1994) p. 271
1994
Earlier work this paper cites.
S. A. Fulling, Pseudodifferential operators, covariant quantization, the inescapable van Vleck–Morette determinant, and the R 6 \frac{R}{6} controversy, Int. J. Mod. Phys. D 05
1996
Earlier work this paper cites.
S. Bates and A. Weinstein, Lectures on the Geometry of Quantization , Berkeley Mathematics Lecture Notes, Vol. 8 (American Mathematical Society, Providence, RI; Berkeley Center for Pure and Applied Mathematics, Berkeley, CA, 1997) pp. vi+137
1997
Earlier work this paper cites.
J.-M. Souriau, Structure of Dynamical Systems , Progress in Mathematics, Vol. 149 (Birkhäuser Boston, Inc., Boston, MA, 1997)
1997
Earlier work this paper cites.
G. Sundaram and Q. Niu, Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects, Phys. Rev. B 59
1999
Cited alongside, same era.
H. Goldstein, C. P. Poole, and J. L. Safko, Classical Mechanics (Addison Wesley, 2002)
2002
Cited alongside, same era.
B. B. Moussa and G. T. Kossioris, On the System of Hamilton–Jacobi and Transport Equations Arising in Geometrical Optics, Commun. Part. Diff. Eq. 28
2003
Cited alongside, same era.
Y. K. Kato, R. C. Myers, A. C. Gossard, and D. D. Awschalom, Observation of the spin Hall effect in semiconductors, Science 306
2004
Cited alongside, same era.
M. Onoda, S. Murakami, and N. Nagaosa, Hall Effect of Light, Phys. Rev. Lett. 93
2004
Cited alongside, same era.
J. E. Marsden and T. S. Ratiu, Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems , Vol. 17 (Springer Science & Business Media, 2013)
2013
Later among the works it cites.
E. R. Tracy, A. J. Brizard, A. S. Richardson, and A. N. Kaufman, Ray Tracing and Beyond: Phase Space Methods in Plasma Wave Theory (Cambridge University Press, 2014)
2014
Later among the works it cites.
K. Y. Bliokh, F. J. Rodríguez-Fortuño, F. Nori, and A. V. Zayats, Spin-orbit interactions of light, Nat. Photonics 9
2015
Later among the works it cites.
J. Sinova, S. O. Valenzuela, J. Wunderlich, C. H. Back, and T. Jungwirth, Spin Hall effects, Rev. Mod. Phys. 87
2015
Later among the works it cites.
W. G. Dixon, The New Mechanics of Myron Mathisson and Its Subsequent Development, in Equations of Motion in Relativistic Gravity , edited by D. Puetzfeld, C. Lämmerzahl, and B. Schutz (Springer International Publishing, Cham, 2015) pp. 1–66
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2005
Cited alongside, same era.
C. Duval, Z. Horváth, and P. A. Horváthy, Fermat principle for spinning light, Phys. Rev. D 74
2006
Cited alongside, same era.
A. Bérard and H. Mohrbach, Spin Hall effect and Berry phase of spinning particles, Phys. Lett. A 352
2006
Cited alongside, same era.
K. Y. Bliokh, Geometrical optics of beams with vortices: Berry phase and orbital angular momentum Hall effect, Phys. Rev. Lett. 97
2006
Cited alongside, same era.
C. Duval, Z. Horváth, and P. A. Horváthy, Geometrical spinoptics and the optical Hall effect, J. Geom. Phys. 57
2007
Cited alongside, same era.
M. I. Dyakonov and A. V. Khaetskii, Spin Hall Effect, in Spin Physics in Semiconductors , edited by M. I. Dyakonov (Springer Berlin Heidelberg, 2008) pp. 211–243
2008
Cited alongside, same era.
O. Hosten and P. Kwiat, Observation of the spin Hall effect of light via weak measurements, Science 319
2008
Cited alongside, same era.
2015
Later among the works it cites.
D. E. Ruiz and I. Y. Dodin, First-principles variational formulation of polarization effects in geometrical optics, Phys. Rev. A 92
2015
Later among the works it cites.
M. Stone, V. Dwivedi, and T. Zhou, Wigner Translations and the Observer Dependence of the Position of Massless Spinning Particles, Phys. Rev. Lett. 114
2015
Later among the works it cites.
C. Duval, M. Elbistan, P. Horváthy, and P.-M. Zhang, Wigner–souriau translations and lorentz symmetry of chiral fermions, Physics Letters B 742
2015
Later among the works it cites.
C. Duval, M. Elbistan, P. A. Horváthy, and P. M. Zhang, Wigner-Souriau translations and Lorentz symmetry of chiral fermions, Phys. Lett. B 742
2015
Later among the works it cites.
K. Andrzejewski, A. Kijanka-Dec, P. Kosiński, and P. Maślanka, Chiral fermions, massless particles and Poincare covariance, Phys. Lett. B 746
2015
Later among the works it cites.
M. Stone, Berry phase and anomalous velocity of Weyl fermions and Maxwell photons, Int. J. Mod. Phys. B 30
2016
Later among the works it cites.
X. Ling, X. Zhou, K. Huang, Y. Liu, C.-W. Qiu, H. Luo, and S. Wen, Recent advances in the spin Hall effect of light, Rep. Prog. Phys. 80
2017
Later among the works it cites.
C. Duval and T. Schücker, Gravitational birefringence of light in Robertson-Walker cosmologies, Phys. Rev. D 96
2017
Later among the works it cites.
Y. N. Obukhov, A. J. Silenko, and O. V. Teryaev, General treatment of quantum and classical spinning particles in external fields, Phys. Rev. D 96
2017
Later among the works it cites.
D. E. Ruiz and I. Y. Dodin, Extending geometrical optics: A Lagrangian theory for vector waves, Phys. Plasmas 24
2017
Later among the works it cites.
K. Bolonek-Lasoń, P. Kosiński, and P. Maślanka, Lorentz transformations, sideways shift and massless spinning particles, Physics Letters B 769
2017
Later among the works it cites.
N. Yamamoto, Spin Hall effect of gravitational waves, Phys. Rev. D 98
2018
Later among the works it cites.
M. Krenn and A. Zeilinger, On small beams with large topological charge: II. Photons, electrons and gravitational waves, New J. Phys. 20
2018
Later among the works it cites.
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Later among the works it cites.
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2019
Later among the works it cites.
L. Marsot, How does the photon’s spin affect gravitational wave measurements?, Phys. Rev. D 100
2019
Later among the works it cites.
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Later among the works it cites.
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2019
Later among the works it cites.
W. R. Inc., Mathematica, Version 12.0 , Champaign, IL, 2019
2019
Later among the works it cites.