Carroll symmetry of plane gravitational waves

I. E. Tamm, “The electrodynamics of anisotropic media in the special theory of relativity,” Zh. Rus. Fiz.-Khim. Obshchestva, Otd. Fiz. 56

1924

Earlier work this paper cites.

M. W. Brinkmann, “On Riemann spaces conformal to Euclidean spaces,” Proc. Natl. Acad. Sci. U.S. 9

1925

Earlier work this paper cites.

L. P. Eisenhart, “Dynamical trajectories and geodesics”, Annals Math. 30

1928

Earlier work this paper cites.

P. L. Kapitza and P. A. M. Dirac, “The reflection of electrons from standing lightwaves,” Proc. Camb. Phil. Soc. 29

1933

Earlier work this paper cites.

O. R. Baldwin and G. B. Jeffery, “The Relativity Theory of Plane Waves,” Proc. R. Soc. London A111

1937

Earlier work this paper cites.

G.V. Skrotskii, “The Influence of Gravitation on the Propagation of Light,” Dokl. Akad. Nauk SSSR 114

1957

Earlier work this paper cites.

H. Bondi, F. A. E. Pirani and I. Robinson, “Gravitational waves in general relativity. 3. Exact plane waves,” Proc. Roy. Soc. Lond. A 251

1959

Earlier work this paper cites.

J. Plebanski, “Electromagnetic Waves in Gravitational fields, ” Phys. Rev. 118

1960

Earlier work this paper cites.

J. Ehlers and W. Kundt, “Exact solutions of the gravitational field equations,” in L. Witten, (ed), Gravitation an introduction to current Research

1962

Earlier work this paper cites.

G. Rosen, “Stability of the Graviton Against Radiative Decay,” Phys. Rev. 128

1962

Earlier work this paper cites.

J. M. Lévy-Leblond, “Une nouvelle limite non-relativiste du group de Poincaré,” Ann. Inst. H Poincaré 3

1965

Earlier work this paper cites.

V. D. Sen Gupta, “On an Analogue of the Galileo Group,” Il Nuovo Cimento 54

1966

Earlier work this paper cites.

S. Deser, “Plane waves do not polarize the vacuum,” J. Phys. A 8

1972

Cited alongside, same era.

J-M. Souriau, “Ondes et radiations gravitationnelles,” Colloques Internationaux du CNRS No 220, pp. 243-256. Paris (1973)

1973

Cited alongside, same era.

U. Niederer, “The maximal kinematical invariance group of the harmonic oscillator,” Helv. Phys. Acta 46

1973

Cited alongside, same era.

G. W. Gibbons, “Quantized Fields Propagating in Plane Wave Space-Times,” Commun. Math. Phys. 45

1975

Cited alongside, same era.

D. Kramer, H. Stephani, M. McCallum, E. Herlt, “Exact solutions of Einstein’s field equations,” Cambridge Univ. Press (1980)

1980

Cited alongside, same era.

C. Duval, G. Burdet, H. P. Künzle and M. Perrin, “Bargmann structures and Newton-Cartan theory”, Phys. Rev. D 31

ÊC. G. Torre, Ê“Gravitational waves: Just plane symmetry,” ÊGen. Rel. Grav. Ê 38

2006

Later among the works it cites.

M. W. McCall, “Classical gravity does not refract negatively,” Phys. Rev. Lett., 98

2007

Later among the works it cites.

G. W. Gibbons and C. N. Pope, “Kohn’s Theorem, Larmor’s Equivalence Principle and the Newton-Hooke Group,” Ann. Phys. 326

Original

2011

Later among the works it cites.

P. M. Zhang, P. A. Horvathy, K. Andrzejewski, J. Gonera and P. Kosinski, “Newton-Hooke type symmetry of anisotropic oscillators,” Annals Phys. 333

Original

2013

Later among the works it cites.

C. Duval, G. W. Gibbons, P. A. Horvathy and P. M. Zhang, “Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time,” Class. Quant. Grav. 31

Original

2014