Recovering MOND from extended metric theories of gravity

European Physical Journal C

Volumn 71, Issue 11, 2011, Pages 1-7

  Bernal, T ^a   Capozziello, S ^b,c   Hidalgo, J C ^a,d   Mendoza, S ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^c INFN SEZIONE DI NAPOLI   (Italy)

^d INSTITUTO NACIONAL DE INVESTIGACIONES NUCLEARES   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84920579417     PISSN: 14346044     EISSN: 14346052     Source Type: Journal    
DOI: 10.1140/epjc/s10052-011-1794-z     Document Type: Article

References (33)

1. M. Milgrom, A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis. Astrophys. J. 270, 365–370 (1983)
2. M. Milgrom, A modification of the Newtonian dynamics— implications for galaxies. Astrophys. J. 270, 371–389 (1983)
3. M. Milgrom, New physics at low accelerations (MOND): an alternative to dark matter. arXiv:0912.2678 (2009), arXiv:0912.2678
4. M. Milgrom, New physics at low accelerations (MOND): an alternative to dark matter, in American Institute of Physics Conference Series, vol. 1241, ed. by J.-M. Alimi, A. Fuözfa (2010), pp. 139–153. arXiv:0912.2678 [astro-ph.CO]
5. S. Mendoza, X. Hernandez, J.C. Hidalgo, T. Bernal, A natural approach to extended Newtonian gravity: tests and predictions across astrophysical scales. Mon. Not. R. Astron. Soc. 411, 226–234 (2011). arXiv:1006.5037 [astro-ph.GA]
6. J.D. Bekenstein, Relativistic gravitation theory for the modified Newtonian dynamics paradigm. Phys. Rev. D 70, 083509 (2004). arXiv:astro-ph/0403694 [astro-ph]
7. I. Ferreras, N.E. Mavromatos, M. Sakellariadou, M.F. Yusaf, Incompatibility of rotation curves with gravitational lensing for TeVeS theory. Phys. Rev. D 80, 103506 (2009). arXiv:0907.1463 [astro-ph.GA]
8. S. Capozziello, V. Faraoni, Beyond Einstein Gravity: A Survey of Gravitational Theories for Cosmology and Astrophysics. Fundamental Theories of Physics (Springer, Berlin, 2010). ISBN 9789400701649
9. T.P. Sotiriou, V. Faraoni, f(R) theories of gravity. Rev. Mod. Phys. 82, 451–497 (2010). arXiv:0805.1726
10. S. Nojiri, S.D. Odintsov, Introduction to modified gravity and gravitational alternative for dark energy. ArXiv High Energy Physics, arXiv:hep-th/0601213 (2006)
11. S. Nojiri, S.D. Odintsov, Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models. Phys. Rep. 505, 59–144 (2011). arXiv:1011.0544 [gr-qc]
12. M. Soussa, A closer look at the MOND No-Go statement for purely metric formulations. ArXiv Astrophysics e-prints, arXiv: astro-ph/0310531 [astro-ph] (2003)
13. M.E. Soussa, R.P. Woodard, A nonlocal metric formulation of MOND. Class. Quantum Gravity 20, 2737–2751 (2003). arXiv:astro-ph/0302030 [astro-ph]
14. S. Mendoza, Y.M. Rosas-Guevara, Gravitational waves and lensing of the metric theory proposed by Sobouti. Astron. Astrophys. 472, 367–371 (2007). arXiv:astro-ph/0610390 [astro-ph]
15. S. Capozziello, V.F. Cardone, A. Troisi, Dark energy and dark matter as curvature effects? J. Cosmol. Astropart. Phys. 8, 1 (2006). arXiv:astro-ph/0602349 [astro-ph]
16. S. Capozziello, V.F. Cardone, A. Troisi, Low surface brightness galaxy rotation curves in the low energy limit of Rn gravity: no need for dark matter? Mon. Not. R. Astron. Soc. 375, 1423–1440 (2007). arXiv:astro-ph/0603522 [astro-ph]
17. S. Capozziello, E. de Filippis, V. Salzano, Modelling clusters of galaxies by f(R) gravity. Mon. Not. R. Astron. Soc. 394, 947–959 (2009). arXiv:0809.1882
18. Y. Sobouti, An f(R) gravitation for galactic environments. Astron. Astrophys. 464, 921–925 (2007). arXiv:astro-ph/0603302 [astroph]
19. S. Capozziello, M. de Laurentis, V. Faraoni, A bird’s eye view of f(R)-gravity. Open Astron. J. 3, 49–72 (2010). arXiv:0909.4672 [gr-qc]
20. L.D. Landau, E.M. Lifshitz, The Classical Theory of Fields. Course of Theoretical Physics (Butterworth/Heinemann, Stoneham/London, 1975). ISBN 9780750627689
21. J. Bekenstein, The modified Newtonian dynamics—MOND and its implications for new physics. Contemp. Phys. 47, 387–403 (2006). arXiv:astro-ph/0701848 [astro-ph]
22. S. Capozziello, A. Stabile, A. Troisi, Newtonian limit of f(R) gravity. Phys. Rev. D 76, 104019 (2007). arXiv:0708.0723 [gr-qc]
23. S. Capozziello, A. Stabile, The Newtonian limit of metric gravity theories with quadratic Lagrangians. Class. Quantum Gravity 26, 085019 (2009). arXiv:0903.3238 [gr-qc]
24. S. Capozziello, P. Martin-Moruno, C. Rubano, Dark energy and dust matter phases from an exact f(R)-cosmology model. Phys. Lett. B 664, 12–15 (2008). arXiv:0804.4340
25. S. Capozziello, E. Piedipalumbo, C. Rubano, P. Scudellaro, Testing an exact f(R)-gravity model at Galactic and local scales. As-tron. Astrophys. 505, 21–28 (2009). arXiv:0906.5430 [gr-qc]
26. S. Capozziello, L.Z. Fang, Curvature quintessence. Int. J. Mod. Phys. D 11, 483–491 (2002). arXiv:gr-qc/0201033
27. S. Capozziello, A. Stabile, A. Troisi, Spherically symmetric solutions in f(R) gravity via the Noether symmetry approach. Class. Quantum Gravity 24, 2153–2166 (2007). arXiv:gr-qc/0703067
28. V.I. Arnol’d, Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics (Springer, Berlin, 1989). ISBN 9780387968902
29. G. Marmo, E. Saletan, A. Simoni, B. Vitale, Dynamical Systems: A Differential Geometric Approach to Symmetry and Reduction (Wiley, New York, 1985). ISBN 0471903396
30. G. Morandi, C. Ferrario, G. Lo Vecchio, G. Marmo, C. Rubano, The inverse problem in the calculus of variations and the geometry of the tangent bundle. Phys. Rep. 188, 147–284 (1990)
31. S. Capozziello, A. DeFelice, f(R) cosmology from Noether’s symmetry. J. Cosmol. Astropart. Phys. 8, 16 (2008). arXiv:0804.2163 [gr-qc]
32. P.K. Townsend, Black holes. ArXiv General Relativity and Quantum Cosmology e-prints, arXiv:gr-qc/9707012 (1997)
33. Y.M. Rosas-Guevara, Una posible descripción relativista para dinámicas modificadas aplicada en astrofísica gravitacional. B.Sc. dissertation, Universidad Nacional Autónoma de México (2006). Dissertation available at http://mendozza.org/sergio/students/2005/rosas and at http://bc.unam.mx