Abstract
General Relativity has so far passed almost all the ground-based and solar-system experiments. Any reasonable extended gravity models should consistently reduce to it at least in the weak field approximation. In this work we derive the gravitational potential for the Palatini formulation of the modified gravity of the L(R) type which admits a de Sitter vacuum solution. We argue that the Newtonian limit is always obtained in those class of models and the deviations from General Relativity are very small for a slowly moving source.
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REFERENCES
Perlmutter, S., et al.(2000). Nature 404, 955; Perlmutter, S., et al.(1999). Astroph. J. 517, 565; Riess, A., et al.(1998). Astroph. J. 116, 1009; Riess, A. (2001). Astroph. J. 560, 49; Wang, Y. (2000). Astroph. J. 536, 531; Spergel, D. N., et al.(2003). (astro-ph/0302207); Page, L., et al.(2003). (astro-ph/0302220); Nolta, M., et al.(2003). (astro-ph/0305097); Bennett, C., et al.(2003). (astro-ph/0302209).
Carroll, S. M., Duvvuri,V., Trodden, M., and Turner,M. (2003). (astro-ph/0306438); Capozziello, S., Carloni, S., and Troisi, A. (2003). “Recent Research Developments in Astronomy & Astrophysics”-RSP/AA/21-2003 (astro-ph/0303041); Capozziello, S. (2002). Int. J. Mod. Phys. D 11, 483
Nojiri, S., and Odintsov, S. D. (2003). Phys. Lett. B 576, 5.
Nojiri, S., and Odintsov, S. D. (2003). Phys. Rev. D 68, 123512.
Nojiri, S., and Odintsov, S. D. (2003). (hep-th/0308176).
Vollick, D. N. (2003). (astro-ph/0306630).
Flanagan, É. É. (2003). (astro-ph/0308111).
[8] Meng, X. H., and Wang, P. (2003). Class. Quant. Grav. 20, 4949 (astro-ph/0307354); Meng, X. H., and Wang, P. (2004). Class. Quant. Grav. 21, 951 (astro-ph/0308031).
Meng, X. H., and Wang, P. (2003). (astro-ph/0308284).
Meng, X. H., and Wang, P. (2004). Phys. Lett. B 584, 1 (hep-th/0309062).
Flanagan, É. É. (2003). (gr-qc/0309015).
Meng, X. H., and Wang, P. (2004). In press. (hep-th/0310038).
Chiba, T. (2003). (astro-ph/0307338).
Dick, R. (2004). Gen. Rel. Grav. 36, 217 (gr-qc/0307052).
Soussa, M. E., and Woodard, R. P. (2003). (astro-ph/0308114).
Dolgov, A. D., and Kawasaki, M. (2003). (astro-ph/0307285).
Nojiri, S., and Odintsov, S. D. (2003). (hep-th/0310045).
Capozziello, S., Cardone, V. F., Carloni, S., and Troisi, A. (2003). (astro-ph/0307018).
Ferraris, M., Francaviglia, M., and Volovich, I. (1993). Nouvo Cim. B 108, 1313 (gr-qc/9303007); Ferraris, M., Francaviglia, M., and Volovich, I. (1994). Class. Quant. Grav. 11, 1505.
Rubilar, G. F. (1998). Class. Quant. Grav. 15, 239.
Magnano, G., and Sokolowski, L. M. (1994). Phys. Rev. D 50, 5039 (gr-qc/9312008).
Higuchi, A. (1989). Nucl. Phys. B 325, 745.
Will, C. M. (1993). Theory and Experiment in Gravitational Physics, Cambridge University Press, Cambridge; Will, C. M. (2001). Living Rev. Rel. 4, 4.
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Meng, XH., Wang, P. Letter: Gravitational Potential in the Palatini Formulation of Modified Gravity. General Relativity and Gravitation 36, 1947–1954 (2004). https://doi.org/10.1023/B:GERG.0000036052.81522.fe
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DOI: https://doi.org/10.1023/B:GERG.0000036052.81522.fe