Skip to main content

Advertisement

Log in

Post-newtonian parameters from alternative theories of gravity

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

Alternative theories of gravity have been recently studied in connection with their cosmological applications, both in the Palatini and in the metric formalism. The aim of this paper is to propose a theoretical framework (in the Palatini formalism) to test these theories at the solar system level and possibly at the galactic scales. We exactly solve field equations in vacuum and find the corresponding corrections to the standard general relativistic gravitational field. On the other hand, approximate solutions are found in matter cases starting from a Lagrangian which depends on a phenomenological parameter. Both in the vacuum case and in the matter case the deviations from General Relativity are controlled by parameters that provide the Post-Newtonian corrections which prove to be in good agreement with solar system experiments.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Perlmutter, S., et al.: ApJ 517, 565 (1999) [astro-ph/9812133]; Perlmutter el al.: Nature 404, 955 (2000); Astroph, J.: 517, 565 (1999); Riess, A.G., et al.: AJ 116, 1009 (1999) [astro-ph/9805201]; Spergel, D.N., et al.: ApJS 148, 175 (2003); Verde, L., et al.: MNRAS 335, 432 (2002).

  • Dvali, G., Gabadadze, G., Porrati, M.: Phys. Lett. B 485, 208 (2000) [hep-th/0005016]; Dvali, G., Gruzinov, A., Zaldarriaga, M.: Phys. Rev. D 68, 24012 (2003); Freese, K., Lewis, M.: Phys. Lett. B 540, 1 (2002) [astro-ph/0201229]; Aref'eva, I.Ya., Joukovskaya, L.V.: [hep-th/0504200]; Aref'eva, I.Ya., Koshelev, A.S., Vernov, S.Yu.: [astro-ph/0412619]; Nojiri, S., Odintsov, S.D.: [hep-th/0307071]

  • Carroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: [astro-ph/0306438]; Capozziello, S., Carloni, S., Troisi, A.: Recent Research Developments in Astronomy and Astrophysics -RSP/AA/21-2003 [astro-ph/0303041]; Capozziello, S.: Int. J. Mod. Phys. D 11, 483 (2002); Capozziello, S., Cardone, V.F., Carloni, S., Troisi, A.: Int. J. Mod. Phys. D 12, 1969 (2003)

  • Starobinsky, A.A.: Phys, Lett. B 91, 99 (1980)

    Article  ADS  Google Scholar 

  • Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003) [hep-th/0307288]; Gen. Rel. Grav. 36, 1765 (2004) [hep-th/0308176]; Mod. Phys. Lett. A 19, 627 (2004) [hep-th/0310045]; Olmo, G.J. [gr-qc/0505135]

  • Vollick, D.N.: Phys. Rev. D 68, 063510 (2003); Allemandi, G., Borowiec, A., Francaviglia,~M.: Phys. Rev. D 70, 043524 (2004) [hep-th/0403264]; Olmo, G.J.: [gr-qc/0505101]; Olmo, G.J., Komp, W.: [gr-qc/0403092]; Meng, X.H., Wang, P.: Class. Quant. Grav. 20, 4949–4962 (2003) [astro-ph/0307354]; Meng, X.H., Wang, P.: Class. Quant. Grav. 21, 951–960 (2004) [astro-ph/0308031]; Kremer, G.M., Alves, D.S.M.: [gr-qc/0404082]; Olmo, G.J.: [gr-qc/0505136]; Allemandi, G., Borowiec, A., Francaviglia, M., Odintsov, S.D.: [gr-qc/0504057]

  • Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: JCAP0502, 010 (2005) [hep-th/0501096]

  • Will, C.: Living Reviews in Relativity, lrr-2001-4 (http://www.livingreviews.org)

  • Chiba, T.: Phys. Lett. B 575, 1–3 (2003) [astro-ph/0307338]; Dolgov, A.D., Kawasaki, M.: Phys. Lett. B 573, 1-4 (2003) [astro-ph/0307285]; Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003) [hep-th/0307288]; Capozziello, S.: [gr-qc/0412088]

  • Barraco, D., Hamity, V. H.: Gen. Rel. Grav. 25, 461–471; Barraco, D., Hamity, V.H.: Gen. Rel. Grav. 28, 339–345 (1996); Meng, X.H., Wang, P.: Class. Quant. Grav. 20 4949–4962 (2003) [astro-ph/0307354]; Class. Quant. Grav. 21 951–960 (2004) [astro-ph/0308031]; [astro-ph/0308284]; Vollick, D. N.: [gr-qc/0312041]

  • Barraco, D., Hamity, V.H., Vucetich, H.: Gen. Rel. Grav. 34(4), 533–547 (2002)

    Google Scholar 

  • Dominguez, A.E., Barraco, D.E.: Phys. Rev. D 70, 043505 (2004) [gr-qc/0408069]

  • Capozziello, S., Cardone, V.F., Carloni, S., Troisi, A.: Phys. Lett. A 326, 292–296 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  • Allemandi, G., Ruggiero, M.L.: in preparation

  • Buchdahl, H.A.: J. Phys. A 12(8), 1229 (1979); Buchdahl, H.A.: Proc. Camb. Phil. Soc. 68, 396 (1960)

    Google Scholar 

  • Ferraris, M., Francaviglia, M., Volovich, I.: Nouvo Cim. B 108, 1313 (1993) [gr-qc/9303007]; Ferraris, M., Francaviglia, M., Volovich, I.: Class. Quant. Grav. 11, 1505 (1994)

    Google Scholar 

  • Hawking, S.W., Ellis, G.F.R.: The large scale structure of space-time. Cambridge University Press, Cambridge (1973)

    MATH  Google Scholar 

  • Ohanian Hans, C., Ruffini, R.: Gravitation and Spacetime. W.W. Norton and Company, New York (1994)

    MATH  Google Scholar 

  • Straumann, N.: General Relativity, Springer, Berlin (2004)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gianluca Allemandi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Allemandi, G., Francaviglia, M., Ruggiero, M.L. et al. Post-newtonian parameters from alternative theories of gravity. Gen Relativ Gravit 37, 1891–1904 (2005). https://doi.org/10.1007/s10714-005-0195-8

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-005-0195-8

Keywords

Navigation