Skip to main content
Log in

Letter: Palatini Formulation of Modified Gravity with Squared Scalar Curvature

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

Abstract

In this paper we show that in the Palatini formulation of modified gravity, a R 2 term cannot lead to an early time inflation, in opposite to the well-known conclusion when considering this model in the metric formulation.

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.

REFERENCES

  1. Perlmutter, S., el al. (2000). Nature 404, 955; Perlmutter, S., el al. (1999). Astrophs J. 517, 565; Riess, A., et al. (1998). Astrophs J. 116, 1009; Riess, A. et al. (2001) 560, 49; Wang, Y., Astrophs (2000). J. 536, 531; Spergel, D. N., et al., astro-ph/0302207; Page, L., et al. astro-ph/0302220; Nolta, M., et al. astro-ph/0305097; Bennett, C., et al., astro-ph/0302209.

    Google Scholar 

  2. Carroll, S. M. (2001). Living Rev. Relat. 4, 1; Carroll, S. M., astro-ph/0310342 [astro-ph/0004075]; Padmanabhan, T. (2003). Phys. Rep. 380, 235 [hep-th/0212290].

    Google Scholar 

  3. Carroll, S. M., Hoffman, M., and Trodden, M., astro-ph/0301273; Nojiri, S. and Odintsov, S. D., hep-th/0303117; Caldwell, R. R., Dave, R., and Steinhardt, P. J. (1998). Phys. Rev. Lett. 80, 1582; Kamenshchik, A., Moschella, U., and Pasquier, V. (2001). Phys. Lett. B 511, 265; Frolov, A., Kofman, L., and Starobinsky, A. hep-th/0204187; Inagaki, T., Meng, X. H., and Murata, T. hep-ph/0306010; Elizalde, E., Lidsey, J. E., Nojiri, S., and Odintsov, S. D. hep-th/0307177.

  4. Lue, A., Scoccimarro, R., and Starkman, G. astro-ph/0307034.

  5. Carroll, S. M., Duvvuri, V., Trodden, M., and Turner, M. astro-ph/0306438.

  6. Dvali, G., Gabadadze, G., and Porrati, M. (2000). Phys. Lett. B 485, 208.

    Google Scholar 

  7. Capozziello, S., Carloni, S., and Troisi, A. astro-ph/0303041.

  8. Nojiri, S. and Odintsov, S. D. hep-th/0307071.

  9. Dick, R. (2004). Gen. Relat. Grav. 36, 217; Dick, R. gr-qc/0307052.

    Google Scholar 

  10. Soussa, M. E. and Woodard, R. P. astro-ph/0308114.

  11. Vollick, D. N. (2003). Phys. Rev. D 68, 063510 [astro-ph/0306630].

    Google Scholar 

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

    Google Scholar 

  13. Flanagan, É. É. (2004). Phys. Rev. Lett. 92, 071101 [astro-ph/0308111].

    Google Scholar 

  14. Dolgov, A. D. and Kawasaki, M. astro-ph/0307285.

  15. Meng, X. H. and Wang, P. (2004). Class. Quant. Grav. 21, 951 [astro-ph/0308031]; Meng, X. H. and Wang, P. (2003). Class. Quant. Grav. 20, 4949 [astro-ph/0307354]; Meng, X. H. and Wang, P. (in press). Inflationary attractor in Gauss–Bonnet Brane Cosmology [hep-ph/0312113], Meng, X. H. and Wang, P. (2004). Phys. Lett. B 584, 1; Meng, X. H. and Wang, P. (2004). Gen. Relat. Grav. 36, 1947. [gr-qc/0311019]; Meng, X. H. and Wang, P. (in press) Matter Loops Corrected Modified Gravity in Palatini Formulation (in press). Comm. Theor. Phys. [hep-th/ 0310038].

    Google Scholar 

  16. Chiba, T. astro-ph/0307338.

  17. Liddle, A. R. and Lyth, D. H. (2000). Cosmological Inflation and Large Scale Structure, Cambrigde University Press, Cambridge, United Kingdom.

    Google Scholar 

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

    Google Scholar 

  19. Nojiri, S. and Odintsov, S. D. hep-th/0307288.

  20. Nunez, A. and Solganik, S. hep-th/0403159; Flanagan, E. E. gr-qc/0403063.

  21. Carroll, S. M. and Kaplinghat, M. astro-ph/0108002; Olive, K. A., Steigman G., and Walker, T. P. (2000). Phys. Rep. 333–334 389 [astro-ph/9905320]; Burles, S., Nollett, K. M., Truran, J. N., and Turner, M. S. (1999). Phys. Rev. Lett. 82, 4176 [astro-ph/9901157]; Tytler, D., O'Meara, J. M., Suzuki, N., and Lubin, D., astro-ph/0001318.

  22. Buchbinder, I. L., Odintsov, S. D., and Shapiro, I. L. (1992). Effective Action in Quantum Gravity, IOP, Bristol, UK.

    Google Scholar 

  23. Nojiri, S. and Odintsov, S. D. hep-th/0308176.

  24. Éanna Flanagan, private communications

  25. Gottlöber, S., Müller, V., and Starobinsky, A. (1991). Phys. Rev. D 43, 2510; Cardenas, V. H., del Campo, S., and Ramon Herrera, gr-qc/0308040; Meng, X. H. and Wang, P. (2004). Class. Quant. Grav. 21, 2029 [gr-qc/0402011].

    Google Scholar 

  26. Armendariz-Picon, C., Damour, T., and Mukhanov, V. (1999). Phys. Lett. B 458, 209.

    Google Scholar 

  27. Magnano, G. and Sokolowski, L. M. (1994). Phys. Rev. D 50, 5039 [gr-qc/9312008].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Meng, X., Wang, P. Letter: Palatini Formulation of Modified Gravity with Squared Scalar Curvature. General Relativity and Gravitation 36, 2673–2680 (2004). https://doi.org/10.1023/B:GERG.0000048981.40061.63

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:GERG.0000048981.40061.63

Navigation