Image distortion in nonperturbative gravitational lensing

Physical Review D

Volumn 63, Issue 2, 2001, Pages

  Frittelli, Simonetta ^a,b   Kling, Thomas P ^b   Newman, Ezra T ^b  

^a DUQUESNE UNIVERSITY   (United States)

^b UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; COSMOS; GRAVITY; IMAGE ANALYSIS; LENS; LIGHT SCATTERING; MATHEMATICAL COMPUTING;

EID: 0035862215     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.63.023006     Document Type: Article

References (25)

1. D. M. Wittman et al., "Detection of weak gravitational lensing distortions of distant galaxies by cosmic dark matter at large scales," astro-ph/0003014 v4.
2. J. Ehlers, S. Frittelli, and E. T. Newman, in Festschrift in honor of John Stachel, edited by Juergen Renn, 1999.
3. S. Frittelli and E. T. Newman, Phys. Rev. D 59, 124001 (1999).
4. S. Frittelli, T. P. Kling, and E. T. Newman, Phys. Rev. D 61, 064021 (2000).
5. S. Frittelli, T. P. Kling, and E. T. Newman, following paper, Phys. Rev. D 63, 023007 (2001).
6. A. O. Petters, J. Math. Phys. 34, 3555 (1993).
7. A. O. Petters, J. Math. Phys. 38, 1605 (1997).
8. R. Penrose, in Perspectives in Geometry and Relativity, edited by B. Hoffmann (Indiana University Press, Bloomington, IN, 1966), p. 259.
9. R. Blandford et al., Mon. Not. R. Astron. Soc. 251, 600 (1991).
10. V. I. Arnol'd, Mathematical Methods of Classical Mechanics, 2nd ed. (Springer-Verlag, New York, 1978).
11. V. I. Arnol'd, S. M. Gusein-Zade, and A. N. Varchenko, Singularities of Differentiable Maps (Birkhäuser, Boston, 1985), Vol. I.
12. M. V. Berry, J. Opt. Soc. Am. A 4, 561 (1987).
13. M. V. Berry, Extreme twinkling and its opposite, 1997, proceedings of the 15th International Conference on General Relativity and Gravitation, Pune, India.
14. R. Penrose and W. Rindler, Spinors and Space-time (Cambridge University Press, Cambridge, England, 1984), Vol. II.
15. P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses (Springer-Verlag, New York, 1992).
16. V. Perlick, Ray optics, Fermat's Principle and Applications to General Relativity, Lecture Notes in Physics Vol. 61 (Springer-Verlag, New York, 2000).
17. R. D. Blanford and R. Narayan, Astrophys. J. 310, 568 (1986).
18. V. Perlick, in Einstein's Field Equations and their Physical Implications, edited by Bernd Schmidt, Lecture Notes in Physics Vol. 540 (Springer, New York, 2000).
19. V. Perlick, talk presented at the Gravitational Lensing parallel session of the Ninth Marcel Grossman Meeting, Rome, 2000.
20. K. Rauch and R. Blandford, Astrophys. J. 421, 46 (1994).
21. V. F. Panov and Yu. G. Sbytov, Zh. Éksp. Teor. Fiz. 101, 769 (1992)
22. [Sov. Phys. JETP 74, 411 (1992)].
23. T. P. Kling and E. T. Newman, Phys. Rev. D 59, 124002 (1999).
24. S. Frittelli, C. N. Kozameh, and E. T. Newman, J. Math. Phys. 36, 4984 (1995).
25. S. Frittelli, C. N. Kozameh, and E. T. Newman, J. Math. Phys. 36, 6397 (1995).