On the wave equations in the spacetime of a cosmic string

B. Linet

Annales de l'I.H.P. Physique théorique (1986)

  • Volume: 45, Issue: 3, page 249-256
  • ISSN: 0246-0211

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Linet, B.. "On the wave equations in the spacetime of a cosmic string." Annales de l'I.H.P. Physique théorique 45.3 (1986): 249-256. <http://eudml.org/doc/76337>.

@article{Linet1986,
author = {Linet, B.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Green function; Helmholtz equation; spacetime; cylindrically symmetric cosmic string; diffraction; plane wave; geometric optics; diffracted wave; repulsive interaction},
language = {eng},
number = {3},
pages = {249-256},
publisher = {Gauthier-Villars},
title = {On the wave equations in the spacetime of a cosmic string},
url = {http://eudml.org/doc/76337},
volume = {45},
year = {1986},
}

TY - JOUR
AU - Linet, B.
TI - On the wave equations in the spacetime of a cosmic string
JO - Annales de l'I.H.P. Physique théorique
PY - 1986
PB - Gauthier-Villars
VL - 45
IS - 3
SP - 249
EP - 256
LA - eng
KW - Green function; Helmholtz equation; spacetime; cylindrically symmetric cosmic string; diffraction; plane wave; geometric optics; diffracted wave; repulsive interaction
UR - http://eudml.org/doc/76337
ER -

References

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  1. [1] T.W.B. Kibble, Topology of cosmic domains and strings, J. Phys., t. A 9, 1976, p. 1387. Zbl0333.57005
  2. [2] A. Vilenkin, Cosmic strings and domain walls, Phys. Rep., t. 121, 1985, p. 263. Zbl0966.83541MR792254
  3. [3] J.R. Gott III, Gravitational lensing effects of vacuum strings: exact solutions, Astrophys. J., t. 288, 1985, p. 422. MR774275
  4. [4] W.A. Hiscock, Exact gravitational field of a string, Phys. Rev., t. D 31, 1985, p. 3288. MR793165
  5. [5] B. Linet, The static metrics with cylindrical symmetry describing a model of cosmic strings, Gen. Rel. Grav., t. 17, 1985, p. 1109. MR810087
  6. [6] A.H. Taub, Spacetimes with distribution valued curvature tensors, J. Math. Phys., t. 21, 1980, p. 1423. MR574705
  7. [7] A. Vilenkin, Cosmic strings as gravitational lenses, Astrophys. J. Lett., t. 282, 1984, p. 51. Zbl0966.83536MR757402
  8. [8] C.J. Hogan and R. Narayan, Gravitational lensing by cosmic strings, M. N. R. A. S., t. 211, 1984, p. 575. 
  9. [9] B. Linet, Force on a charge in the spacetime of a cosmic string, Phys. Rev., t. D 33, 1986, p. 1833. Zbl0632.35058
  10. [10] H.G. Garnir, Fonction de Green de l'opérateur métaharmonique pour les problèmes de Dirichlet et de Neumann posés dans un angle ou un dièdre, Bull. Soc. R. Sc. Liège, 1952, p. 119 and 207. Zbl0049.19305MR56811
  11. [11] F. Oberhettinger, On the diffraction and reflection of waves and pulses by wedges and corners, J. Res. N. B. S., t. 61, 1958, p. 343. Zbl0092.44203MR98579
  12. [12] F. Oberhettinger, On asymptotic series for functions occurring in the theory of diffraction of waves by wedges, J. Math. Phys., t. 34, 1956, p. 245. Zbl0070.21403MR73725
  13. [13] J.L. Anderson, Principles of Relativity Physics, Academic Press, 1967, p. 288. 
  14. [14] A. Ederly, Asymptotic Expansions, Dover, 1956, p. 36. Zbl0070.29002MR78494
  15. [15] M. Abramowitz I.A. Stegun and , (Eds.), Handbook of Mathematical Functions, Dover, 1968, p. 482. 

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