Existence of geodesics for the Lorentz metric of a stationary gravitational field

Vieri Benci; Donato Fortunato

Annales de l'I.H.P. Analyse non linéaire (1990)

  • Volume: 7, Issue: 1, page 27-35
  • ISSN: 0294-1449

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Benci, Vieri, and Fortunato, Donato. "Existence of geodesics for the Lorentz metric of a stationary gravitational field." Annales de l'I.H.P. Analyse non linéaire 7.1 (1990): 27-35. <http://eudml.org/doc/78212>.

@article{Benci1990,
author = {Benci, Vieri, Fortunato, Donato},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {variational methods; saddle point theorem; Lorentzian metric; geodesics},
language = {eng},
number = {1},
pages = {27-35},
publisher = {Gauthier-Villars},
title = {Existence of geodesics for the Lorentz metric of a stationary gravitational field},
url = {http://eudml.org/doc/78212},
volume = {7},
year = {1990},
}

TY - JOUR
AU - Benci, Vieri
AU - Fortunato, Donato
TI - Existence of geodesics for the Lorentz metric of a stationary gravitational field
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1990
PB - Gauthier-Villars
VL - 7
IS - 1
SP - 27
EP - 35
LA - eng
KW - variational methods; saddle point theorem; Lorentzian metric; geodesics
UR - http://eudml.org/doc/78212
ER -

References

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  1. [1] A. Avez, Essais de géométrie riemannienne hyperbolique globale. Application à la Relativité Générale, Ann. Inst. Fourier, Vol. 132, 1963, pp. 105-190. Zbl0188.54801MR167940
  2. [2] P. Bartolo, V. Benci and D. Fortunato, Abstract Critical Point Theorems and Applications to Some Nonlinear Problems with "Strong Resonance" at Infinity, Journal of nonlinear Anal. T.M.A., Vol. 7, 1983, pp.981-1012. Zbl0522.58012MR713209
  3. [3] S.W. Hawking and G.F.R. Ellis, The Large scale Structure of Space-Time, Cambridge University Press, 1973. Zbl0265.53054MR424186
  4. [4] L. Landau and E. Lifchitz, Théorie des champs, Mir, 1970. 
  5. [5] R. Penrose, Techniques of Differential Topology in Relativity, Conference board of Math. Sc., Vol. 7, S.I.A.M., 1972. Zbl0321.53001MR469146
  6. [6] P.H. Rabinowitz, Some Mini-Max Theorems and Applications to Nonlinear Partial Differential Equations, Nonlinear Analysis, CESARI, KANNAN, WEINBERGER Ed., Academic Press, 1978, pp. 161-177. Zbl0466.58015MR501092
  7. [7] P.H. Rabinowitz, Mini-Max Methods in Critical Point Theory with Applications to Differential Equations, Conf. board Math. Sc. A.M.S., Vol. 65, 1986. Zbl0609.58002
  8. [8] H.J. Seifert, Global Connectivity by Time Like Geodesic, Zs. f. Naturfor., Vol. 22 a, 1967, pp. 1256-1360. Zbl0163.43701MR225556

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