Formalism for testing theories of gravity using lensing by compact objects. II. Probing post-post-Newtonian metrics

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 73, Issue 4, 2006, Pages

  Keeton, Charles R ^a   Petters, A O ^b  

^a RUTGERS UNIVERSITY   (United States)

^b DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33344464935     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.73.044024     Document Type: Article

References (56)

1. P. Schneider, J. Ehlers, and E.E. Falco, Gravitational Lenses (Springer, Berlin, 1992).
2. A.O. Petters, H. Levine, and J. Wambsganss, Singularity Theory and Gravitational Lensing (Birkhauser, Boston, 2001).
3. C.S. Kochanek, P. Schneider, and J. Wambsganss, Gravitational Lensing: Strong, Weak, and Micro, Lecture Notes of the 33rd Saas-Fee Advanced Course, edited by, G. Meylan,,, P. Jetzer,, and, P. North, (Springer-Verlag, Berlin, to be published), astro-ph/0407232 and astro-ph/ 0509252, http://www.astro.uni- bonn.de/~peter/SaasFee.html
4. C. Darwin, Proc. R. Soc. A PRLAAZ 0080-4630 249, 180 (1958);
5. C. Darwin Proc. R. Soc. A PRLAAZ 0080-4630 263, 39 (1961).
6. R.D. Atkinson, Astron. J. 70, 517 (1965). ANJOAA 0004-6256 10.1086/109775
7. J.-P. Luminet, Astron. Astrophys. 75, 228 (1979). AAEJAF 0004-6361
8. H. Ohanian, Am. J. Phys. AJPIAS 0002-9505 55, 428 (1987). 10.1119/1.15126
9. K.S. Virbhadra, D. Narasimha, and S.M. Chitre, Astron. Astrophys. 337, 1 (1998); AAEJAF 0004-6361
10. K.S. Virbhadra and G.F.R. Ellis, Phys. Rev. D 62, 084003 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.62.084003
11. S. Frittelli and E.T. Newman, Phys. Rev. D 59, 124001 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.59.124001
12. S. Frittelli, T.P. Kling, and E.T. Newman, Phys. Rev. D 61, 064021 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.61.064021
13. V. Perlick, Commun. Math. Phys. 220, 403 (2001); CMPHAY 0010-3616 10.1007/s002200100450
14. V. Perlick Phys. Rev. D 69, 064017 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.064017
15. V. Bozza, S. Capozziello, G. Iovane, and G. Scarpetta, Gen. Relativ. Gravit. 33, 1535 (2001); GRGVA8 0001-7701 10.1023/A:1012292927358
16. V. Bozza, Phys. Rev. D 66, 103001 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.66.103001
17. V. Bozza Phys. Rev. D 67, 103006 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.67.103006
18. V. Bozza and L. Mancini, Gen. Relativ. Gravit. 36, 435 (2004); GRGVA8 0001-7701 10.1023/B:GERG.0000010486.58026.4f
19. V. Bozza, F. De Luca, G. Scarpetta, and M. Sereno, Phys. Rev. D 72, 083003 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.72.083003
20. V. Bozza and L. Mancini, Astrophys. J. 627, 790 (2005). ASJOAB 0004-637X 10.1086/430664
21. E.F. Eiroa, G.E. Romera, and D.F. Torres, Phys. Rev. D 66, 024010 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.024010
22. A.O. Petters, Mon. Not. R. Astron. Soc. 338, 457 (2003). MNRAA4 0035-8711 10.1046/j.1365-8711.2003.06065.x
23. M. Sereno, Phys. Rev. D 69, 023002 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.023002
24. R. Epstein and I. Shapiro, Phys. Rev. D 22, 2947 (1980); PRVDAQ 0556-2821 10.1103/PhysRevD.22.2947
25. E. Fishbach and B. Freeman, Phys. Rev. D 22, 2950 (1980); PRVDAQ 0556-2821 10.1103/PhysRevD.22.2950
26. G. Richter and R. Matzner, Phys. Rev. D 26, 1219 (1982); PRVDAQ 0556-2821 10.1103/PhysRevD.26.1219
27. G. Richter R. Matzner Phys. Rev. D 26, 2549 (1982). PRVDAQ 0556-2821 10.1103/PhysRevD.26.2549
28. A. Bhadra, Phys. Rev. D 67, 103009 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.103009
29. S. Kar and M. Sinha, Gen. Relativ. Gravit. 35, 1775 (2003). GRGVA8 0001-7701 10.1023/A:1026057929329
30. A.S. Majumdar and N. Mukherjee, astro-ph/0403405;
31. E.F. Eiroa, Phys. Rev. D 71, 083010 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.71.083010
32. R. Whisker, Phys. Rev. D 71, 064004 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.064004
33. A.S. Majumdar and N. Mukherjee, Int. J. Mod. Phys. D IMPDEO 0218-2718 14, 1095 (2005). 10.1142/S0218271805006948
34. G.W. Gibbons, Nucl. Phys. NUPBBO 0550-3213 B207, 337 (1982); 10.1016/0550-3213(82)90170-5
35. G.W. Gibbons and K. Maeda, Nucl. Phys. NUPBBO 0550-3213 B298, 741 (1988); 10.1016/0550-3213(88)90006-5
36. D. Garfinkle, G.T. Horowitz, and A. Strominger, Phys. Rev. D 43, 3140 (1991); PRVDAQ 0556-2821 10.1103/PhysRevD.43.3140
37. D. Garfinkle G.T. Horowitz A. Strominger Phys. Rev. D 45, 3888 (1992). PRVDAQ 0556-2821 10.1103/PhysRevD.45.3888
38. C.R. Keeton and A.O. Petters, Phys. Rev. D 72, 104006 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.104006
39. S.S. Shapiro, J.L. Davis, D.E. Lebach, and J.S. Gregory, Phys. Rev. Lett. 92, 121101 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.92.121101
40. C. Will, Living Rev. Relativity 4, 4 (2001), www.livingreviews.org/ Articles/volume4/2001-4will 1433-8351
41. R. Penrose, Rivista del Nuovo Cimento Numero speciale 1, 252 (1969); RNUCAC 0035-5917
42. R. Penrose Ann. N.Y. Acad. Sci. ANYAA9 0077-8923 224, 125 (1973);
43. R. Penrose J. Astrophys. Astron. 20, 233 (1999). JASRD7 0250-6335
44. S. Gaudi and A.O. Petters, Astrophys. J. 574, 970 (2002); ASJOAB 0004-637X 10.1086/341063
45. S. Gaudi A.O. Petters Astrophys. J. 580, 468 (2002). ASJOAB 0004-637X 10.1086/343114
46. J. Ebina, T. Osuga, H. Asada, and M. Kasai, Prog. Theor. Phys. 104, 1317 (2000). PTPKAV 0033-068X 10.1143/PTP.104.1317
47. G.F. Lewis and X.R. Wang, Prog. Theor. Phys. 105, 893 (2001). PTPKAV 0033-068X 10.1143/PTP.105.893
48. A.M. Ghez, S. Salim, S.D. Hornstein, A. Tanner, J.R. Lu, M. Morris, E.E. Becklin, and G. Duchêne, Astrophys. J. 620, 744 (2005). ASJOAB 0004-637X 10.1086/427175
49. F. Eisenhauer, R. Schödel, R. Genzel, T. Ott, M. Tecza, R. Abuter, A. Eckart, and T. Alexander, Astrophys. J. 597, L121 (2003). ASJOAB 0004-637X 10.1086/380188
50. T.A. ten Brummelaar, Astrophys. J. 628, 453 (2005). ASJOAB 0004-637X 10.1086/430729
51. C.S. Trotter, J.N. Winn, and J.N. Hewitt, Astrophys. J. 535, 671 (2000). ASJOAB 0004-637X 10.1086/308861
52. M. Burgay, Nature (London) NATUAS 0028-0836 426, 531 (2003); 10.1038/nature02124
53. G. Lyne, Science 303, 1153 (2004). SCIEAS 0036-8075 10.1126/science. 1094645
54. D. Lai and R.R. Rafikov, Astrophys. J. 621, L41 (2005); ASJOAB 0004-637X 10.1086/429146
55. R.R. Rafikov and D. Lai, astro-ph/0503461;
56. R.R. Rafikov D. Lai astro-ph/0512417.