Causality and conjugate points in general plane waves

Classical and Quantum Gravity

Volumn 20, Issue 11, 2003, Pages 2275-2291

  Flores, J L ^a   Sanchez M ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242298618     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/20/11/322     Document Type: Article

References (25)

1. Yurtsever U 1988 Colliding almost-plane gravitational waves: colliding plane waves and general properties of almost-plane-wave spacetimes Phys. Rev. D 37 2803-17
2. Burnett G A 1992 Linear-order stability of the gravitational plane-wave Cauchy horizons Phys. Rev. D 46 2517-21
3. Ezawa Y and Soda J 1994 Effects of topology on the gravitational wave Phys. Lett. B 335 131-5
4. Barrabes C and Hogan P A 1994 Model of a gravitational wave in Schwarzschild space-time Phys. Rev. D 50 6312-7
5. Cespedes J and Verdaguer E 1987 Gravitational wave pulse and soliton wave collision Phys. Rev. D 36 2259-66
6. Griffiths J B 1993 On the propagation of a gravitational wave in a stiff perfect fluid Class. Quantum Grav. 10 975-83
7. Hogan P A 1992 A spherical gravitational wave in the de Sitter universe Phys. Lett. A 171 21-22
8. Kramer D 1999 Exact gravitational wave solution without diffraction Class. Quantum Grav. 16 L75-L78
9. Zareyan M 1997 A quasi-spherical gravitational wave solution in Kaluza-Klein theory Gen. Rel. Grav. 29 613-20
10. Bicak J The role of exact solutions of Einstein's equations in the developments of general relativity and astrophysics selected themes Preprint gr-qc/0004016
11. Yurtsever U 1994 Algebraic approach to quantum field theory on nonglobally-hyperbolic spacetimes Class. Quantum Grav. 11 999-1012
12. Long D V and Shore G M 1998 The Schrödinger wave functional and vacuum states in curved spacetime Nucl. Phys. B 530 247-78
13. Penrose R 1965 A remarkable property of plane waves in general relativity Rev. Mod. Phys. 37 215-20
14. Ehrlich P E and Emch G G 1992 Gravitational waves and causality Rev. Math. Phys. 4 163-221
15. Ehrlich P E and Emch G G 1992 Quasi-time functions in Lorentzian geometry Lecture Notes Pure Appl. Math. 144 203-12
16. Ehrlich P E and Emch G G 1993 Geodesic and causal behaviour of gravitational plane waves: astigmatic conjugacy Proc. Symp. Pure Math. 54 203-9
17. Beem J K, Ehrlich P E and Easley K L 1996 Global Lorentzian geometry Monographs Textbooks Pure Appl. Math. 202 (New York: Dekker)
18. Hubeny V E and Rangamani M 2002 No horizons in pp-waves Preprint hep-th/0210234
19. Candela A M, Flores J L and Sánchez M 2003 On general plane-fronted waves. Geodesics Gen. Rel. Grav. 35 631-49 (Preprint gr-qc/0211017)
20. O'Neill B 1983 Semi-Riemannian geometry with applications to relativity (New York: Academic)
21. Candela A M, Flores J L and Sánchez M A Quadratic Bolza-type problem in a Riemannian manifold J. Diff. Eqns at press webpage http://www.mathpreprints.com/math/Preprint/AnnaMaria/20021213 /2/
22. Giaquinta M and Hildebrant S 1996 Calculus of Variations I: The Lagrangian Formalism (Berlin: Springer)
23. Cheeger J and Ebin D G 1975 Comparison Theorems in Riemannian Geometry (Amsterdam: North-Holland)
24. Chavel I 1993 Riemannian Geometry: A Modern Introduction (Cambridge Tracts in Mathematics vol 108) (Cambridge: Cambridge University Press)
25. Bartolo R and Masiello A 1997 Morse theory for trajectories of Lagrangian systems on Riemannian manifolds with convex boundary Adv. Diff. Equal. 4 593-618