The Newtonian limit of metric gravity theories with quadratic Lagrangians

Classical and Quantum Gravity

Volumn 26, Issue 8, 2009, Pages

  Capozziello, S ^a   Stabile, A ^b  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b UNIVERSITY OF SANNIO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 68949210472     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/26/8/085019     Document Type: Article

References (64)

1. Weyl H 1918 Math. Z. 2 384
2. Pauli W 1919 Phys. Z. 20 457
3. Bach R 1921 Math. Z. 9 110
4. Weyl H 1921 Raum-Zeit-Materie (Berlin: Springer)
5. Eddington A S 1924 The Mathematical Theory of Relativity (London: Cambridge University Press)
6. Lanczos C 1931 Z. Phys. 73 147
7. Buchdahl H A 1962 Nuovo Cimento 23 141
8. de Witt B S 1965 Dynamical Theory of Groups and Fields (New York: Gordon and Breach)
9. Bicknell G V 1974 J. Phys.A: Math. Gen. 7 1061
10. Havas P 1977 Gen. Rel. Grav. 8 631
11. Stelle K S 1977 Gen. Rel. Grav. 9 353
12. Schmidt H-J 2004 Lectures in mathematical cosmology arXiv: gr-qc/0407095
13. Capozziello S, Cardone V F and Troisi A 2006 J. Cosmology Astroparticle Phys. JCAP08(2006)001
14. Capozziello S, Cardone V F and Troisi A 2007 Mon. Not. R. Astron. Soc. 375 1423
15. Nojiri S and Odintsov S D 2007 Int. J. Geom. Methods Mod. Phys. 4 115
16. Capozziello S and Francaviglia M 2008 Gen. Rel. Grav. 40 357
17. Hehl F W, von der Heyde P, Kerlick G D and Nester J M 1976 Rev. Mod. Phys. 48 393
18. Hehl F W, Mccrea J D, Mielke E W and Neeman Y 1995 Phys. Rep. 4258 1
19. Trautman A 2006 Encyclopedia of Mathematical Physics ed J P Françoise, G L Naber and S T Tsou (Oxford: Elsevier) p 189
20. Pietzfeld D 2005 New Astron. Rev. 49 59
21. Magnano G, Ferraris M and Francaviglia M 1987 Gen. Rel. Grav. 19 465
22. Allemandi G, Borowiec A and Francaviglia M 2004 Phys. Rev. D 70 103503
23. Amarzguioui M, Elgaroy O, Mota D F and Multamaki T 2006 Astron. Astrophys 454 707
24. Sotiriou T P 2006 Class. Quantum Grav. 23 1253
25. Sotiriou T P and Liberati S 2007 Ann. Phys. 322 935
26. Sotiriou T P and Faraoni V 2008 arXiv:0805.1726 [gr-qc]
27. Damour T and Esposito-Farèse G 1992 Class. Quantum Grav. 9 2093
28. Buchdahl H A 1979 J. Phys. A: Math. Gen. 12 1229
29. Dicke R H 1916 Phys. Rev. 125 2163
30. Brans C H 1988 Class. Quantum Grav. 5 L197
31. Faraoni V 2004 Cosmology in Scalar-Tensor Gravity (Dordrecht: Kluwer)
32. Capozziello S, Nojiri S, Odintsov S D and Troisi A 2006 Phys. Lett. B 639 135
33. Amendola L, Polarski D and Tsujikawa S 2007 Phys. Rev. Lett. 98 131302
34. Amendola L, Gannouji R, Polarski D and Tsujikawa S 2007 Phys. Rev. D 75 083504
35. Carloni S, Dunsby P, Capozziello S and Troisi A 2005 Class. Quantum Grav. 22 4839
36. Carloni S, Troisi A and Dunsby P K S 2007 arXiv:0706.0452 [gr-qc]
37. Capozziello S, Stabile A and Troisi A 2007 Phys. Rev. D 76 104019
38. Capozziello S, Stabile A and Troisi A 2008 Class. Quantum Grav. 25 085004
39. Capozziello S, Stabile A and Troisi A 2007 Class. Quantum Grav. 24 2153
40. Teyssandier P and Tourrenc P 1983 J. Math. Phys. 24 2793
41. Duruisseau J P and Kerner R 1983 Gen. Rel. Grav. 15 797
42. Lanczos C 1938 Ann. Math. 39 842
43. Capozziello S 2002 Int. J. Mod. Phys. D 11 483
44. Nojiri S and Odintsov S D 2003 Phys. Lett. B 576 5
45. Nojiri S and Odintsov S D 2003 Phys. Rev. D 68 123512
46. Nojiri S and Odintsov S D 2005 Phys. Rev. D 71 123509
47. Vollik D N 2003 Phys. Rev. D 68 063510
48. Carroll S M, Duvvuri V, Trodden M and Turner M S 2004 Phys. Rev. D 70 043528
49. Carroll S M, de Felice A, Duvvuri V, Easson D A, Trodden M and Turner M S 2005 Phys. Rev. D 71 063513
50. Friedrichs K 1927 Math. Ann. 98 566
51. Trautman A 1963 C. R. Hebd. Seances Acad. Sci 257 617
52. Kilmister C W 1963 J. Math. Phys. 12 1
53. Dautcourt G 1964 Acta Phys. Pol. 25 637
54. Kuenzle H P 1976 Gen. Rel. Grav. 7 445
55. Ehlers J 1980 Ann. New York Acad. Sci. 336 279
56. Ehlers J 1981 Grundlagenprobleme der Modernen Physik ed J Nitsch, J Pfarr, E W Stachow and B I-Wissenschaftsverlag (Mannheim: Bibliographisches Institut) p 65
57. Puetzfeld D 2006 Comput. Phys. Commun. 175 497
58. Dick R 2004 Gen. Rel. Grav. 36 217
59. Hwang J, Noh H and Puetzfeld D 2005 arXiv:astro-ph/0507085
60. Capozziello S, De Laurentis M, Garufi F and Milano L 2009 Phys. Scr. 79 025901
61. Jackson J D 1998 Classical Electrodynamics (New York: Academic)
62. Binney J and Tremaine S 1987 Galactic Dynamics (Princeton, NJ: Princeton University Press)
63. Will C M 2001 Living Rev. Rel. 4 4
64. Capozziello S, De Filippis E and Salzano V 2009 Mon. Not. R. Astron. 394 947