Gravitational lensing by naked singularities

Physical Review D

Volumn 65, Issue 10, 2002, Pages

  Virbhadra, K S ^a,b   Ellis, G F R ^b  

^a UNIVERSITY OF CAPE TOWN   (South Africa)

^b DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; GRAVITY; MODEL; PHOTON; THEORY;

EID: 0037053111     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.65.103004     Document Type: Article

References (26)

1. R. Penrose, Riv. Nuovo Cimento 1, 252 (1969).
2. R. Penrose, in General Relativity and Einstein Centenary Survey, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1979).
3. R.M. Wald, "Gravitational Collapse and Cosmic Censorship,'1 gr-qc/9710068.
4. R. Penrose, in Black Holes and Relativistic Stars, edited by R. M. Wald (University of Chicago Press, Chicago, 1998), p. 103.
5. K.S. Virbhadra, Phys. Rev. D 60, .104041 (1999).
6. A.G. Riess et al., Astron. J. 116, 1009 (1998);
7. S. Perlmutter et al., Astrophys. J. 517, 565 (1999);
8. I. Zehavi and A. Dekel, Nature (London) 401, 252 (1999);
9. A. Filippenko and A. Riess, "Type la Supernovae and Their Cosmological Implications," astro-ph/9905049.
10. L. Wang, R.R. Caldwell, J.P. Ostriker, and P.J. Steinhardt, Astrophys. J. 530, 17 (2000), and references therein.
11. K.S. Virbhadra, D. Narasimha, and S.M. Chitre, Astron. Astro-phys. 337, 1 (1998);
12. S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity. (Wiley, New York, 1972).
13. K.S. Virbhadra and G.F.R. Ellis, Phys. Rev. D 62, 084003 (2000).
14. S. Frittelli, T.P. Kling, and E.T. Newman, Phys. Rev. D 61, 064021 (2000).
15. P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses (Springer-Verlag, Berlin, 1992);
16. A. O. Petters, H. Levine, and J. Wambsganss, Singularity Theory and Gravitational Lensing (Birkhauser, Boston, 2001).
17. C.-M. Claudel, K.S. Virbhadra, and G.F.R. Ellis, J. Math. Phys. 42, 818 (2001).
18. K.S. Virbhadra, Int. J. Mod. Phys. A 12, 4831 (1997).
19. A.I. Janis, E.T. Newman, and J. Winicour, Phys. Rev. Lett. 20, 878 (1968).
20. M. Wyman, Phys. Rev. D 24, 839 (1981).
21. K.S. Virbhadra, S. Jhingan, and P.S. Joshi, Int. J. Mod. Phys. D 6, 357 (1997).
22. D. Richstone et al., Nature (London) 395, A14 (1998).
23. S. Wolfram, MATHEMATICA 4.0.
24. K.P. Rauch and R.D. Blandford, Astrophys. J. 421, 46 (1994).
25. Until recently this solution was known as the Wyman solution. In [13] it is shown that this solution was obtained in different coordinates by Janis, Newman, and Winicour [14] about thirteen years before Wyman [15].
26. In [9] relativistic Einstein rings are defined as those which are formed due to light deflection by more than 277. Similarly, images which are formed due to light deflection by more than 3π/2 are termed relativistic images.