Gravitational lensing by Einstein-Born-Infeld black holes

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 73, Issue 4, 2006, Pages

  Eiroa, Ernesto F ^a  

^a INSTITUTO DE ASTRONOMÍA Y FÍSICA DEL ESPACIO   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33244467498     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.73.043002     Document Type: Article

References (65)

1. P. Schneider, J. Ehlers, and E.E. Falco, Gravitational Lenses (Springer-Verlag, Berlin, 1992).
2. K.S. Virbhadra, and G.F.R. Ellis, Phys. Rev. D 62, 084003 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.62.084003
3. K.S. Virbhadra, and G.F.R. Ellis, Phys. Rev. D 65, 103004 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.65.103004
4. S. Frittelli, T.P. Kling, and E.T. Newman, Phys. Rev. D 61, 064021 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.61.064021
5. C. Darwin, Proc. R. Soc. London A PRLAAZ 0080-4630 249, 180 (1959);
6. J.-P. Luminet, Astron. Astrophys. 75, 228 (1979); AAEJAF 0004-6361
7. S. Chandrasekhar, The Mathematical Theory of Black Holes (Oxford University Press, Oxford, 1983);
8. H.C. Ohanian, Am. J. Phys. 55, 428 (1987). AJPIAS 0002-9505 10.1119/1.15126
9. V. Bozza, S. Capozziello, G. Iovane, and G. Scarpetta, Gen. Relativ. Gravit. 33, 1535 (2001). GRGVA8 0001-7701 10.1023/A:1012292927358
10. V. Perlick, Phys. Rev. D 69, 064017 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.064017
11. E.F. Eiroa, G.E. Romero, and D.F. Torres, Phys. Rev. D 66, 024010 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.024010
12. V. Bozza, Phys. Rev. D 66, 103001 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.103001
13. A. Bhadra, Phys. Rev. D 67, 103009 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.103009
14. A.O. Petters, Mon. Not. R. Astron. Soc. 338, 457 (2003). MNRAA4 0035-8711 10.1046/j.1365-8711.2003.06065.x
15. V. Bozza and L. Mancini, Gen. Relativ. Gravit. 36, 435 (2004). GRGVA8 0001-7701 10.1023/B:GERG.0000010486.58026.4f
16. D.E. Holtz and J.A. Wheeler, Astrophys. J. 578, 330 (2002). ASJOAB 0004-637X 10.1086/342463
17. F. De Paolis, A. Geralico, G. Ingrosso, and A.A. Nucita, Astron. Astrophys. 409, 809 (2003). AAEJAF 0004-6361 10.1051/0004-6361:20031137
18. E.F. Eiroa and D.F. Torres, Phys. Rev. D 69, 063004 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.063004
19. V. Bozza and L. Mancini, Astrophys. J. 611, 1045 (2004); ASJOAB 0004-637X 10.1086/422309
20. V. Bozza and L. Mancini, Astrophys. J. 627, 790 (2005). ASJOAB 0004-637X 10.1086/430664
21. V. Bozza, Phys. Rev. D 67, 103006 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.67.103006
22. V. Bozza, F. De Luca, G. Scarpetta, and M. Sereno, Phys. Rev. D 72, 083003 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.083003
23. F. De Paolis, A. Geralico, G. Ingrosso, A.A. Nucita, and A. Qadir, Astron. Astrophys. 415, 1 (2004); AAEJAF 0004-6361 10.1051/0004-6361:20034587
24. S.E. Vazquez and E.P. Esteban, Nuovo Cimento B 119, 489 (2004); NCIBAW 0369-3554
25. A.F. Zakharov, A.A. Nucita, F. De Paolis, and G. Ingrosso, astro-ph/0411511.
26. E.F. Eiroa, Phys. Rev. D 71, 083010 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.083010
27. R. Whisker, Phys. Rev. D 71, 064004 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.064004
28. R.J. Nemiroff, Am. J. Phys. 61, 619 (1993); AJPIAS 0002-9505 10.1119/1.17224
29. S. Frittelli and E.T. Newman, Phys. Rev. D 59, 124001 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.59.124001
30. M.P. Dabrowski and F.E. Schunck, Astrophys. J. 535, 316 (2000); ASJOAB 0004-637X 10.1086/308805
31. C.M. Claudel, K.S. Virbhadra, and G.F.R. Ellis, J. Math. Phys. (N.Y.) 42, 818 (2001); JMAPAQ 0022-2488 10.1063/1.1308507
32. V. Perlick, Commun. Math. Phys. 220, 403 (2001); CMPHAY 0010-3616 10.1007/s002200100450
33. S. Frittelli and E.T. Newman, Phys. Rev. D 65, 123006 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.65.123006
34. S. Frittelli, T.P. Kling, and E.T. Newman, Phys. Rev. D 65, 123007 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.65.123007
35. C.R. Keeton and A.O. Petters, Phys. Rev. D 72, 104006 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.104006
36. M. Born and L. Infeld, Proc. R. Soc. London A PRLAAZ 0080-4630 144, 425 (1934).
37. B. Hoffmann, Phys. Rev. 47, 877 (1935). PHRVAO 0031-899X 10.1103/PhysRev.47.877
38. E.S. Fradkin and A.A. Tseytlin, Phys. Lett. B PYLBAJ 0370-2693 163, 123 (1985); 10.1016/0370-2693(85)90205-9
39. E. Bergshoeff, E. Sezgin, C.N. Pope, and P.K. Townsend, Phys. Lett. B 188, 70 (1987); PYLBAJ 0370-2693 10.1016/0370-2693(87)90707-6
40. R.R. Metsaev, M.A. Rahmanov, and A.A. Tseytlin, Phys. Lett. B 193, 207 (1987); PYLBAJ 0370-2693 10.1016/0370-2693(87)91223-8
41. A.A. Tseytlin, Nucl. Phys. NUPBBO 0550-3213 B501, 41 (1997); 10.1016/S0550-3213(97)00354-4
42. D. Brecher and M.J. Perry, Nucl. Phys. NUPBBO 0550-3213 B527, 121 (1998). 10.1016/S0550-3213(98)00297-1
43. G.W. Gibbons and D.A. Rasheed, Nucl. Phys. NUPBBO 0550-3213 B454, 185 (1995). 10.1016/0550-3213(95)00409-L
44. A. García, H. Salazar, and J.F. Plebañski, Nuovo Cimento B 84, 65 (1984); NCIBAW 0369-3554
45. D.L. Wiltshire, Phys. Rev. D 38, 2445 (1988); PRVDAQ 0556-2821 10.1103/PhysRevD.38.2445
46. H.P. Oliveira, Class. Quant. Grav. CQGRDG 0264-9381 11, 1469 (1994); 10.1088/0264-9381/11/6/012
47. E. Ayón-Beato and A. García, Phys. Rev. Lett. 80, 5056 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.80.5056
48. M. Novello, S.E. Perez Bergliaffa, and J.M. Salim, Class. Quant. Grav. CQGRDG 0264-9381 17, 3821 (2000); 10.1088/0264-9381/17/18/316
49. K.A. Bronnikov, Phys. Rev. D 63, 044005 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.63.044005
50. A. Burinskii and S.R. Hildebrandt, Phys. Rev. D 65, 104017 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.65.104017
51. S. Fernando and D. Krug, Gen. Relativ. Gravit. GRGVA8 0001-7701 35, 129 (2003); 10.1023/A:1021315214180
52. T. Kumar Dey, Phys. Lett. B 595, 484 (2004). PYLBAJ 0370-2693 10.1016/j.physletb.2004.06.047
53. J.F. Plebañski, Lectures on Nonlinear Electrodynamics (Nordita, Copenhagen, 1970).
54. S.A. Gutierrez, A.L. Dudley, and J.F. Plebañski, J. Math. Phys. (N.Y.) 22, 2835 (1981). JMAPAQ 0022-2488 10.1063/1.524874
55. M. Novello, V.A. De Lorenci, J.M. Salim, and R. Klippert, Phys. Rev. D 61, 045001 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.61.045001
56. N. Bretón, Class. Quant. Grav. CQGRDG 0264-9381 19, 601 (2002). 10.1088/0264-9381/19/4/301
57. B. Punsly, Astrophys. J. 498, 640 (1998). ASJOAB 0004-637X 10.1086/305561
58. J.A. de Diego, D. Dultzin-Hacyan, J. Galindo Trejo, and D. Núñez, astro-ph/0405237.
59. C.R. Ghezzi and P.S. Letelier, astro-ph/0503629.
60. H.J. Mosquera Cuesta, A. Penna-Firme, and A. Pérez-Lorenzana, Phys. Rev. D 67, 087702 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.087702
61. A.F. Zakharov, A.A. Nucita, F. De Paolis, and G. Ingrosso, New Astron. 10, 479 (2005); NAREF9 1387-6473 10.1016/j.newast.2005.02.007
62. A.F. Zakharov, F. De Paolis, G. Ingrosso, and A.A. Nucita, Astron. Astrophys. 442, 795 (2005). AAEJAF 0004-6361 10.1051/0004-6361:20053432
63. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, edited by, A. Jeffrey, (Academic Press, San Diego, 1994) 5th ed.
64. S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, 1972).
65. F. Eisenhauer, Astrophys. J. 628, 246 (2005). ASJOAB 0004-637X 10.1086/430667