Sturm-Liouville and Carroll: at the heart of the Memory Effect

M. W. Brinkmann, “Einstein spaces which are mapped conformally on each other,” Math. Ann. 94

1925

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. 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.

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

1966

Earlier work this paper cites.

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

1971

Earlier work this paper cites.

J-M. Souriau, “Le milieu élastique soumis aux ondes gravitationnelles,” Ondes et radiations gravitationnelles

1973

Earlier work this paper cites.

Ya. B. Zel’dovich and A. G. Polnarev, “Radiation of gravitational waves by a cluster of superdense stars,” Astron. Zh. 51

1974

Earlier work this paper cites.

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

1975

Earlier work this paper cites.

V B Braginsky and L P Grishchuk, “Kinematic resonance and the memory effect in free mass gravitational antennas,” Zh. Eksp. Teor. Fiz. 89

1985

Earlier work this paper cites.

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

1985

Earlier work this paper cites.

V. B. Braginsky and K. S. Thorne, “Gravitational-wave burst with memory and experimental prospects,” Nature (London) 327

1987

Cited alongside, same era.

H. Bondi and F. A. E. Pirani, “Gravitational Waves in General Relativity. 13: Caustic Property of Plane Waves,” Proc. Roy. Soc. Lond. A 421

1989

Cited alongside, same era.

L. P. Grishchuk and A. G. Polnarev, “Gravitational wave pulses with ‘velocity coded memory’,” Sov. Phys. JETP 69

1989

Cited alongside, same era.

C. Duval, G.W. Gibbons, P. Horvathy, “Celestial mechanics, conformal structures and gravitational waves,” Phys. Rev. D43

1991

Cited alongside, same era.

P. E. Ehrlich and G. G. Emch, “Gravitational waves and causality,” Rev. Math. Phys. 4

1992

Cited alongside, same era.

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

Original

2014

Later among the works it cites.

E. Bergshoeff, J. Gomis and G. Longhi, “Dynamics of Carroll Particles,” Class. Quant. Grav. 31

Original

2014

Later among the works it cites.

J. Podolský, C. Sämann, R. Steinbauer and R. Svarc, “The global existence, uniqueness and C 1 C^{1} -regularity of geodesics in nonexpanding impulsive gravitational waves,” Class. Quant. Grav. 32

Original

2015

Later among the works it cites.

P.-M. Zhang, C. Duval, G. W. Gibbons and P. A. Horvathy, “The Memory Effect for Plane Gravitational Waves,” Phys. Lett. B 772

Original

2017

Later among the works it cites.