Abstract
Solar System tests give nowadays constraints on the estimated value of the cosmological constant, which can be accurately derived from different experiments regarding gravitational redshift, light deflection, gravitational time-delay and geodesic precession. Assuming that each reasonable theory of gravitation should satisfy Solar System tests, we use these limits on the estimated value of the cosmological constant to constrain extended theories of Gravity, which are nowadays studied as possible theories for cosmological models and provide viable solutions to the cosmological constant problem and the explanation of the present acceleration of the Universe. We obtain that the estimated values, from Solar System tests, for the parameters appearing in the extended theories of Gravity are orders of magnitude bigger than the values obtained in the framework of cosmologically relevant theories.
Similar content being viewed by others
References
Riess A.G., et al. (1998). AJ. 116: 1009 astro-ph/9805201
Perlmutter S., et al. (1999). ApJ. 517: 565 astro-ph/9812133
Tonry J.L., et al. (2003). ApJ. 594: 1 astro-ph/9305008
Bennet C.L., et al. (2003). ApJ. Suppl. 148: 1 astro-ph/0302207
Netterfield., et al. (2002). ApJ. 571: 604 astro-ph/0104460
Halverson N.W., et al. (2002). ApJ. 568: 38 astro-ph/0104489
Carroll S.M., Duvvuri V., Trodden M., Turner M.S. (2004). Phys. Rev. D70: 043528 astro-ph/0306438
Nojiri, S., Odintsov, S.D.: Lectures given at 42nd Karpacz Winter School of Theoretical Physics, hep-th/0601213 (2006)
Nojiri S., Odintsov S.D. (2006). Phys. Rev. D74: 086005 hep-th/0608008
Nojiri, S., Odintsov, S.D.: Paper prepared for Special Issue IRGAC 2006, Barcelona, hep-th/0610164
Capozziello S., Nojiri S., Odintsov S.D., Troisi A. (2006). Phys. Lett. B639: 135 astro-ph/0604431
Nojiri S., Odintsov S.D. (2003). Phys. Rev. D68: 123512 hep-th/0307288
Nojiri S., Odintsov S.D. (2004). Gen. Rel. Grav. 36: 1765 hep-th/0308176
Nojiri S., Odintsov S.D. (2004). Mod. Phys. Lett. A19: 627 hep-th/0310045
Olmo G.J. (2005). Phys. Rev. D72: 083505
Vollick D.N. (2003). Phys. Rev. D68: 063510 astro-ph/0306630
Allemandi G., Borowiec A., Francaviglia M. (2004). Phys. Rev. D70: 043524 hep-th/0403264
Olmo G.J. (2005). Phys. Rev. Lett. 95: 261102 gr-qc/0505101
Olmo, G.J., Komp, W.: gr-qc/0403092
Meng X.H., Wang P. (2003). Class. Quant. Grav. 20: 4949 astro-ph/0307354
Meng X.H., Wang P. (2004). Class. Quant. Grav. 21: 951 astro-ph/0308031
Kremer G.M., Alves D.S.M. (2004). Phys. Rev. D70: 023503 gr-qc/0404082
Allemandi G., Borowiec A., Francaviglia M., Odintsov S.D. (2005). Phys. Rev. D72: 063505 gr-qc/0504057
Faraoni V. (2006). Phys. Rev. D74: 023529 gr-qc/0607016
Chiba T. (2003). Phys. Lett. B575: 1 astro-ph/0307338
Flanagan É.É. (2004). Phys. Rev. Lett. 92: 071101 astro-ph/0308111
Erickcek A.L., Smith T.L., Kamionkowski M. (2006). Phys. Rev. D74: 121501 astro-ph/0610483
Jin, X., Liu, D., Li, Z.: astro-ph/0610854
Chiba, T., Smith, T.L., Erickcek, A.L.: astro-ph/0611867
Capozziello S., Stabile A., Troisi A. (2006). Mod. Phys. Lett. A21: 2291
Zhang, P.: astro-ph/0701662
Kainulainen, K., Reijonen, V., Sunhede, D.: gr-qc/0611132
Magnano, G.: In: Carfora, M., Cavaglià, M., Francaviglia, M., Frè, P., Pizzella, G., Reina, C., Treves, A. (eds.) General relativity and gravitational physics: proceedings. World Scientific, Singapore (1996), gr-qc/9511027
Allemandi G., Francaviglia M., Ruggiero M.L., Tartaglia A. (2005). Gen. Rel. Grav. 37: 1891 gr-qc/0506123
Brevik I., Nojiri S., Odintsov S.D., Vanzo L. (2004). Phys. Rev. D70: 043520 hep-th 0401073
Cognola G., Elizalde E., Nojiri S., Odintsov S.D., Zerbini S. (2005). JCAP 0502, hep-th/0501096
Ruggiero M.L., Iorio L. (2007). JCAP 0701: 010 gr-qc/0607093
Kagramanova V., Kunz J., Lämmerzahl C. (2006). Phys. Lett. B634, 465 gr-qc/0602002
Jetzer P., Sereno M. (2006). Phys. Rev. D73: 044015, astro-ph/0601612
Iorio L. (2006). JCAP 0605, 002 gr-qc/0602095
Peebles P.J.E., Ratra B. (2003) Rev. Mod. Phys. 75: 559 astro-ph/0207347
Dolgov A.D., Kawasaki M. (2003) Phys. Lett. B573: 1 gr-qc/0307285
Faraoni V. (2006) Phys. Rev. D74: 104017 astro-ph/0610734
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Allemandi, G., Ruggiero, M.L. Constraining extended theories of gravity using Solar System tests. Gen Relativ Gravit 39, 1381–1388 (2007). https://doi.org/10.1007/s10714-007-0441-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10714-007-0441-3