Formalism for testing theories of gravity using lensing by compact objects: Static, spherically symmetric case

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 72, Issue 10, 2005, 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: 29744458974     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.72.104006     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, in " 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).
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 (1958).
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 PRVDAQ 0556-2821 66, 103001 (2002); 10.1103/PhysRevD.66.103001
17. V. Bozza Phys. Rev. D PRVDAQ 0556-2821 67, 103006 (2003); 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. E.F. Eiroa, G.E. Romera, and D.F. Torres, Phys. Rev. D 66, 024010 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.024010
21. A. Bhadra, Phys. Rev. D 67, 103009 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.103009
22. A.S. Majumdar and N. Mukherjee, astro-ph/0403405;
23. E.F. Eiroa, Phys. Rev. D 71, 083010 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.71.083010
24. R. Whisker, Phys. Rev. D 71, 064004 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.064004
25. A.S. Majumdar and N. Mukherjee, Int. J. Mod. Phys. D IMPDEO 0218-2718 14, 1095 (2005). 10.1142/S0218271805006948
26. A.O. Petters, Mon. Not. R. Astron. Soc. 338, 457 (2003). MNRAA4 0035-8711 10.1046/j.1365-8711.2003.06065.x
27. V. Bozza and L. Mancini, Astrophys. J. 627, 790 (2005). ASJOAB 0004-637X 10.1086/430664
28. R. Epstein and I. Shapiro, Phys. Rev. D 22, 2947 (1980); PRVDAQ 0556-2821 10.1103/PhysRevD.22.2947
29. E. Fishbach and B. Freeman, Phys. Rev. D 22, 2950 (1980); PRVDAQ 0556-2821 10.1103/PhysRevD.22.2950
30. G. Richter and R. Matzner, Phys. Rev. D 26, 1219 (1982); PRVDAQ 0556-2821 10.1103/PhysRevD.26.1219
31. G. Richter R. Matzner Phys. Rev. D 26, 2549 (1982). PRVDAQ 0556-2821 10.1103/PhysRevD.26.2549
32. J. Ebina, T. Osuga, H. Asada, and M. Kasai, Prog. Theor. Phys. 104, 1317 (2000); PTPKAV 0033-068X 10.1143/PTP.104.1317
33. G.F. Lewis and X.R. Wang, Prog. Theor. Phys. 105, 893 (2001). PTPKAV 0033-068X 10.1143/PTP.105.893
34. M. Sereno, Phys. Rev. D 69, 023002 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.023002
35. A.F. Sarmiento, Gen. Relativ. Gravit. 14, 793 (1982). GRGVA8 0001-7701 10.1007/BF00756090
36. S. Kar and M. Sinha, Gen. Relativ. Gravit. 35, 1775 (2003). GRGVA8 0001-7701 10.1023/A:1026057929329
37. S. Pireaux, Classical Quantum Gravity CQGRDG 0264-9381 21, 1897 (2004); 10.1088/0264-9381/21/7/011
38. S. Pireaux Classical Quantum Gravity CQGRDG 0264-9381 21, 4317 (2004). 10.1088/0264-9381/21/18/004
39. J.-M. Gérard and S. Pireaux, gr-qc/9907034;
40. J. Bodener and C. Will, Am. J. Phys. AJPIAS 0002-9505 71, 770 (2003). 10.1119/1.1570416
41. R. Penrose, Riv. Nuovo Cimento Numero speciale 1, 252 (1969); RNUCAC 0035-5917
42. R. Penrose, in Sixth Texas Symposium on Relativistic Astrophysics, edited by, Dennis J. Hegyi,, Annals of the New York Academy of Sciences Vol. 224 (The New York Academy of Sciences, New York, 1973), p. 125;
43. R. Penrose J. Astrophys. Astron. 20, 233 (1999). JASRD7 0250-6335
44. See http://maxim.gsfc.nasa.gov
45. 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
46. G. Will, Living Rev. Relativity 4, 4 (2001), www.livingreviews.org/ Articles/volume4/2001-4will 1433-8351
47. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).
48. R.M. Wald, General Relativity (University of Chicago Press, Chicago, 1984).
49. B. Punsly, Astrophys. J. 498, 640 (1998). ASJOAB 0004-637X 10.1086/305561
50. G.W. Gibbons, Nucl. Phys. NUPBBO 0550-3213 B207, 337 (1982); 10.1016/0550-3213(82)90170-5
51. G.W. Gibbons and K. Maeda, Nucl. Phys. NUPBBO 0550-3213 B298, 741 (1988); 10.1016/0550-3213(88)90006-5
52. D. Garfinkle, G.T. Horowitz, and A. Strominger, Phys. Rev. D 43, 3140 (1991); PRVDAQ 0556-2821 10.1103/PhysRevD.43.3140
53. D. Garfinkle G.T. Horowitz A. Strominger Phys. Rev. D 45, 3888 (1992). PRVDAQ 0556-2821 10.1103/PhysRevD.45.3888
54. R.E. Bellman, Perturbation Techniques in Mathematics, Physics, and Engineering (Hold, Rinehart and Winston, New York, 1964).
55. 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
56. 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