Abstract
We determine the gravitational response to a diffuse source, in a locally de Sitter background, of a class of theories which modify the Einstein-Hilbert action by adding a term proportional to an inverse power of the Ricci scalar. We find a linearly growing force which is not phenomenologically acceptable.
REFERENCES
Tonry, J. L., Schmidt, B. P., Barris, B., et al. (2003). Astrophys. J. 599, 1-29 (arXiv: astro-ph/0305008).
Bennett, C. L., Halpern, M., Hinshaw, G., et al. (2003). Astrophys. J. Suppl. 148, 1(arXiv: astro-ph/0305008).
Krauss, L. M. and Turner, M. S. (1995). Gen. Rel. Grav. 27, 1137.
Ostriker, J. P. and Steinhardt, P. J. (1995). Nature 377, 600.
Liddle, A. R., Lyth, D. H., Viana, P. T., and White, M. (1996). MNRAS 282, 281.
Peebles, P. J. E. and Ratra, B. (1988). Astrophys. J. Lett. 325, L17; Ratra, B. and Peebles, P. J. E.(1988). Phys. Rev. D 37, 3406.
Wetterich, C. (1988). Nucl. Phys. B 302, 668.
Wands, D., Copeland, E. J., and Liddle, A. R. (1993). Ann. (N.Y.) Acad. Sci. 688, 647.
Ferreira, P. G. and Joyce, M. (1997). Phys. Rev. Lett. 79, 4740.
Weinberg, S. (1989). Rev. Mod. Phys. 61, 1.
Carroll, S. M. (2001). Living Rev. Rel. 4, 1(arXiv: astro-ph/0004075).
Copeland, E. J., Liddle, A. R., and Wands, D. (1998). Phys. Rev. D 57, 4686.
Zlatev, I., Wang, L., and Steinhardt, P. J. (1999). Phys. Rev. Lett. 82, 896.
Brax, P. and Martin, J. (2000). Phys. Rev. D 61, 103502.
Barreiro, T., Copeland, E. J., and Nunes, N. J. (2000). Phys. Rev. D 61, 127301.
Armendola, L. (2000). Phys. Rev. D 62, 043511.
Vachaspati, T. and Trodden, M. (2000). Phys. Rev. D 61, 023502.
Brisudova, M. M., Kinney, W. H., and Woodard, R. P. (2002). Phys. Rev. D 65, 103513.
Parker, L. and Raval, A. (1999). Phys. Rev. D 60, 063512.
Carroll, S. M., Duvvuri, V., Trodden, M., and Turner, M. (2003). (arXiv: astro-ph/0306438).
Nojiri, S. and Odintsov, S. (2003). (arXiv: hep-th/0307071).
Strominger, A. (1984). Phys. Rev. D 30, 2257.
Dick, R. (2004). Gen. Rel. Grav. 36, 217(arXiv: gr-qc/0307052).
Dolgov, A. D. and Kawasaki, M. (2003). (arXiv: astro-ph/0307285).
Nojiri, S. and Odintsov, S. (2003). (arXiv: hep-th/0307288).
Meng, X. and Wang, P. (2003). (arXiv: astro-ph/0307354).
Chiba, T. (2003). (arXiv: astro-ph/0307338).
Cline, J. (2003). (arXiv: astro-ph/0307423).
Nojiri, S. and Odintsov, S. D. (2003). (arXiv: hep-th/0308176).
Dvali, G., Gabadadze, G., and Shifman, M. (2002). (arXiv: hep-th/0208096).
Lue, A. and Starkman, G. (2003). Phys. Rev. D 67, 064002(arXiv: astro-ph/0212083).
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Soussa, M.E., Woodard, R.P. Letter: The Force of Gravity from a Lagrangian Containing Inverse Powers of the Ricci Scalar. General Relativity and Gravitation 36, 855–862 (2004). https://doi.org/10.1023/B:GERG.0000017037.92729.69
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DOI: https://doi.org/10.1023/B:GERG.0000017037.92729.69