The Cauchy problem of scalar-tensor theories of gravity

Classical and Quantum Gravity

Volumn 23, Issue 14, 2006, Pages 4719-4741

  Salgado, Marcelo ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745833098     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/23/14/010     Document Type: Article

References (103)

1. Damour T and Esposito-Farérese G 1992 Class. Quantum Grav. 9 2093
2. Brans C and Dicke R H 1961 Phys. Rev. 124 925
3. Dicke R H 1961 Phys. Rev. 125 2163
4. Brans C H 1961 Phys. Rev. 125 2194
5. Wagoner R V 1970 Phys. Rev. D 1 3209
6. Wagoner R V 1997 Relativistic Gravitation and Gravitational Radiation ed J A Marck and J P Lasota (Cambridge: Cambridge University Press) p 419
7. Wagoner R V and Kalligas D 1997 Relativistic Gravitation and Gravitational Radiation ed J A Marck and J P Lasota (Cambridge: Cambridge University Press) p 433
8. Brunetti M, Coccia E, Fafone V and Fucito F 1999 Phys. Rev. D 49 044027
9. Babusci D, Baiotii L, Fucito F and Nagar A 2001 Phys. Rev. D 64 0622001
10. Nakao K, Harada T, Shibata M, Kawamura S and Nakamura T 2001 Phys. Rev. D 63 082001
11. Shibata M, Nakao K and Nakamura T 1994 Phys. Rev. D 50 7304
12. Harada T, Chiba T, Nakao K and Nakamura T 1997 Phys. Rev. D 54 2024
13. Damour T and Esposito-Farérese G 1996 Phys. Rev. D 54 1474
14. Damour T and Esposito-Farérese G 1998 Phys. Rev. D 58 042001
15. Nagata R, Chiba T and Sugiyama N 2004 Phys. Rev. D 69 083512
16. Will C M and Yunes N 2004 Class. Quantum Grav. 21 4367
17. Damour T and Esposito-Farérese G 1993 Phys. Rev. Lett. 70 2220
18. Novak J 1998 Phys. Rev. D 57 4789
19. Novak J 1998 Phys. Rev. D 58 064010
20. Salgado M, Sudarsky D and Nucamendi U 1998 Phys. Rev. D 58 124003
21. Sotani H and Kokkotas K 2004 Phys. Rev. D 70 084026
22. Sotani H and Kokkotas K 2005 Phys. Rev. D 71 124038 (Preprint gr-qc/0506060)
23. Boisseau B, Esposito-Farèse G, Polarski D and Starobinsky A A 2000 Phys. Rev. Lett. 85 2236
24. Amendola L 2001 Phys. Rev. Lett. 86 196
25. Riazuelo A and Uzan J P 2002 Phys. Rev. D 66 023525
26. Schmid C, Uzan J P and Riazuelo A 2005 Phys. Rev. D 71 083512
27. Salgado M 2002 On the Nature of Dark Energy: Proc. 18th IAP Astrophysics Colloquium ed P Brax, J Martin and J P Uzan (Paris: Frontier Group)
28. Salgado M, Sudarsky D and Quevedo H 1996 Phys. Rev. D 53 6771
29. Salgado M, Sudarsky D and Quevedo H 1997 Phys. Lett. B 408 69
30. Quevedo H, Salgado M and Sudarsky D 1997 Astrophys. J. 487 14
31. Sudarsky D, Quevedo H and Salgado M 1997 Rev. Mex. Fís. 43 699
32. Gonzlez J A, Quevedo H, Salgado M and Sudarsky D 2001 Phys. Rev. D 64 047504
33. Fishbach E, Sudarsky D, Szafer A, Talmadge C and Aaronson S H 1986 Phys. Rev. Lett. 56 3
34. Fishbach E and Talmadge C 1992 Nature 356 207
35. Pimentel L O and Obregón O 1986 Astrophys. Space Sci. 126 231
36. Hoyle C D et al 2001 Phys. Rev. Lett. 86 1418
37. Hoyle C D 2004 Phys. Rev. D 70 042004
38. Baldi P, Campari E G, Casula G, Focardi S and Palmonari F 2001 Phys. Rev. D 64 082001
39. Iorio L 2002 Phys. Lett. A 298 315
40. Li G and Zhao H 2005 Int. J. Mod. Phys. D 14 1657 (Preprint gr-qc/0505090)
41. Will C M 1993 Theory and Experiment in Gravitational Physics (Cambridge: Cambridge University Press)
42. Will C M 2001 Living Rev. Rel. 4 4
43. Bertotti B, Iess L and Tortora P 2003 Nature 425 374
44. Sealfon C, Verde L and Jimenez R 2005 Phys. Rev. D 71 083004
45. Bennett C L et al (WMAP Collaboration) 2003 Astrophys. J. Suppl. Ser. 148 1
46. Fujii Y and Maeda K 1994 The Scalar-Tensor Theory of Gravitation (Cambridge: Cambridge University Press)
47. Choquet-Bruhat Y 1962 Cauchy problem Gravitation: An Introduction to Current Research ed L Witten (New York: Wiley)
48. Choquet-Bruhat Y and York J W 1980 The Cauchy problem General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein ed A Held (New York: Plenum)
49. Reula O A 1998 Living Rev. Rel. 1 3
50. Reula O A 2004 Preprint gr-qc/0403007
51. O'Hanlon J 1972 Phys. Rev. Lett. 29 137
52. Teyssandier P and Tourrenc Ph 1983 J. Math. Phys. 24 12
53. Cocke W J and Cohen J M 1968 J. Math. Phys. 9 971
54. Noakes D R 1983 J. Math. Phys. 24 7
55. Scheel M A, Shapiro S L and Teukolsky S A 1995 Phys. Rev. D 51 4208
56. Scheel M A, Shapiro S L and Teukolsky S A 1995 Phys. Rev. D 51 4236
57. Arnowitt R, Deser S and Misner C W 1962 Gravitation: An Introduction to Current Research ed L Witten (New York: Wiley)
58. York J W 1979 Kinematics and dynamics of general relativity Sources of Gravitational Radiation ed L Smarr (Cambridge: Cambridge University Press)
59. Hawking S W and Ellis G F R 1973 The Large Scale Structure of Space-Time (Cambridge: Cambridge Universtiy Press)
60. Wald R M 1984 General Relativity (Chicago, IL: Chicago University Press)
61. Faraoni V 2004 Phys. Rev. D 70 047301
62. Abramo L R, Brenig L, Gunzig E and Saa A 2003 Phys. Rev. D 67 027301
63. Salgado M, Sudarsky D and Nucamendi U 2004 Phys. Rev. D 70 084027
64. Flanagan E 2004 Class. Quantum Grav. 21 3817
65. Faraoni V, Gunzig E and Nardone P 1999 Fundam. Cosmol. Phys. 20 121 (Preprint gr-qc/9811047)
66. Faraoni V 2004 Phys. Rev. D 70 081501
67. Kidder L E, Scheel M A and Teukolsky S A 2001 Phys. Rev. D 64 064017
68. Sarbach O, Calabrese G, Pullin J and Tiglio M 2002 Phys. Rev. D 66 064002
69. Bekenstein J D 1974 Ann. Phys., NY 82 535
70. Bocharova N, Bronikov K and Melnikov V 1970 Vestn. Mosk. Univ. Fiz. Astron. 6 706
71. Martínez C, Troncoso R and Zanelli J 2003 Phys. Rev. D 67 024008
72. Alcubierre M, Allen G, Brügmann B, Seidel E and Suen W M 2000 Phys. Rev. D 62 124011
73. Leray J 1952 Hyperbolic Differential Equations (Lecture Notes) (Princeton, NJ: Institute for Advanced Studies)
74. Smarr L and York J W Jr 1978 Phys. Rev. D 17 1945
75. Bona C, Massó J, Seidel E and Stela J 1995 Phys. Rev. Lett. 75 600
76. Alcubierre M 2003 Class. Quantum Grav. 20 607
77. Yo H-J, Baumgarte T and Shapiro S 2002 Phys. Rev. D 66 084026
78. Alcubierre M and Brügmann B 2001 Phys. Rev. D 63 104006
79. Alcubierre M, Corichi A, Gonzlez J A, Nnez̃ D and Salgado M 2003 Class. Quantum Grav. 20 3951
80. Alcubierre M, Corichi A, Gonzlez J A, Nnez̃ D and Salgado M 2003 Phys. Rev. D 67 104021
81. Alcubierre M, Corichi A, Gonzlez J A, Nnez̃ D, Reimann B and Salgado M 2005 Phys. Rev. D 72 124018 (Preprint gr-qc/0507007)
82. Sarbach O and Tiglio M 2002 Phys. Rev. D 66 064023
83. Lindblom L and Scheel M A 2003 Phys. Rev. D 67 124005
84. Beyer H and Sarbach O 2004 Phys. Rev. D 70 104004
85. Bona C and Palenzuela C 2004 Phys. Rev. D 69 104003
86. Sudarsky D and Zannias T 1998 Phys. Rev. D 58 087502
87. Whinnett A W 2000 Phys. Rev. D 61 124014
88. Salgado M 2003 Class. Quantum Grav. 20 4551
89. Heusler M 1992 J. Math. Phys. 33 3497
90. Sudarsky D 1995 Class. Quantum Grav. 12 579
91. Bekenstein J D 1995 Phys. Rev. D 51 R6608
92. Xanthopoulos B C and Zannias T 1991 J. Math. Phys. 32 1875
93. Zannias T 1995 J. Math. Phys. 36 6970
94. Saa A 1996 Phys. Rev. D 53 7377
95. Saa A 1996 J. Math. Phys. 37 2349
96. Mayo A E and Bekenstein J D 1996 Phys. Rev. D 54 5059
97. Ayón-Beato E 2002 Class. Quantum Grav. 19 5465
98. Nucamendi U and Salgado M 2003 Phys. Rev. D 68 044026
99. Torii T, Maeda K and Narita M 2001 Phys. Rev. D 64 044007
100. Winstanley E 2003 Found. Phys. 33 111 (Preprint gr-qc/0205092)
101. Sudarsky D and Gonzlez J A 2003 Phys. Rev. D 67 024038
102. Sudarsky D and Wald R M 1992 Phys. Rev. D 46 1453
103. Sudarsky D and Wald R M 1993 Phys. Rev. D 47 R5209