Abstract
We investigate the possibility of a dark energy universe emerging from an action with higher-order string loop corrections to Einstein gravity in the presence of a massless dilaton. These curvature corrections (up to \(R^4\)order) are different depending upon the type of (super-) string model which is considered. We find in fact that type II, heterotic, and bosonic strings respond differently to dark energy. A dark energy solution is shown to exist in the case of the bosonic string, while the other two theories do not lead to realistic dark energy universes. A detailed analysis of the dynamical stability of the de Sitter solution is presented for the case of a bosonic string. A general prescription for the construction of a de Sitter solution for the low-energy (super-) string effective action is also indicated. Beyond the low-energy (super-) string effective action, when the higher-curvature correction coefficients depend on the dilaton, the reconstruction of the theory from the expansion history of the universe is done with a corresponding prescription for the scalar potentials.
Similar content being viewed by others
References
E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006) [hep-th/0603057]
T. Padmanabhan, Phys. Rep. 380, 235 (2003)
J.E. Peebles, B. Ratra, Rev. Mod. Phys. 75, 559 (2003)
V. Sahni, A. Starobinsky, Int. J. Mod. Phys. D 15, 2105 (2006)
L. Perovolaropoulos, astro-ph/0601014
S. Kachru et al., Phys. Rev. D 68, 046005 (2003)
E.J. Copeland, M.R. Garousi, M. Sami, S. Tsujikawa, Phys. Rev. D 71, 043003 (2005)
S. Tsujikawa, M. Sami, Phys. Lett. B 603, 113 (2004)
S. Nojiri, S.D. Odintsov, Int. J. Geom. Methods Mod. Phys. 4, 115 (2007) [hep-th/0601213]
M.C. Bento, O. Bertolami, Phys. Lett. B 368, 198 (1996)
S. Nojiri, S.D. Odintsov, M. Sasaki, Phys. Rev. D 71, 123509 (2005)
S. Nojiri, S.D. Odintsov, M. Sami, Phys. Rev. D 74, 046004 (2006) [hep-th/0605039]
M. Sami, A. Toporensky, P.V. Tretjakov, S. Tsujikawa, hep-th/0504154
G. Calcagni, S. Tsujikawa, M. Sami, Class. Quantum Grav. 22, 3977 (2005) [hep-th/0505193]
Z. Guo, N. Ohta, S. Tsujikawa, hep-th/0610336
T. Koivisto, D. Mota, Phys. Rev. D 75, 023518 (2006) [hep-th/0609155]
T. Koivisto, D. Mota, hep-th/0606078
T. Sotiriou, E. Barausse, gr-qc/0612065
B. Leith, I. Neupane, hep-th/0702002
B. Carter, I. Neupane, JCAP 0606, 004 (2006) [hep-th/0512262]
I. Neupane, Class. Quantum Grav. 23, 7493 (2006)
S. Nojiri, S.D. Odintsov, Phys. Lett. B 631, 1 (2005) [hep-th/0508049]
G. Cognola, E. Elizalde, S. Nojiri, S.D. Odintsov, S. Zerbini, Phys. Rev. D 73, 084007 (2006) [hep-th/0601008]
G. Calcagni, B. Carlos, A. Felice, Nucl. Phys. B 752, 404 (2006)
S. Tsujikawa, M. Sami, hep-th/0608178
G. Cognola, E. Elizalde, S. Nojiri, S.D. Odintsov, S. Zerbini, Phys. Rev. D 75, 086002 (2007) [hep-th/0611198]
S. Nojiri, S.D. Odintsov, hep-th/0611071
S. Nojiri, S.D. Odintsov, P.V. Tretyakov, hep-th/0704.2520
D.N. Spergel et al., astro-ph/0603449
I. Antoniadis, J. Rizos, K. Tamvakis, Nucl. Phys. B 415, 497 (1994)
P. Kanti, J. Rizos, K. Tamvakis, Phys. Rev. D 59, 083512 (1999)
N. Mavromatos, J. Rizos, Phys. Rev. D 62, 124004 (2000)
S. Kawai, M. Sakagami, J. Soda, Phys. Lett. B 437, 284 (1998)
S. Kawai, J. Soda, Phys. Rev. D 59, 063506 (1999)
K. Maeda, N. Ohta, Phys. Rev. D 71, 063520 (2005)
M. Bento, O. Bertolami, Phys. Lett. B 368, 198 (1996)
S. Tsujikawa, R. Brandenberger, F. Finelli, Phys. Rev. D 66, 083513 (2002)
S. Nojiri, S.D. Odintsov, S. Tsujikawa, Phys. Rev. D 71, 063004 (2005) [hep-th/0501025]
S. Nojiri, S.D. Odintsov, Phys. Rev. D 68, 123512 (2003) [hep-th/0307288]
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Elizalde, E., Jhingan, S., Nojiri, S. et al. Dark energy generated from a (super-) string effective action with higher-order curvature corrections and a dynamical dilaton. Eur. Phys. J. C 53, 447–457 (2008). https://doi.org/10.1140/epjc/s10052-007-0463-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjc/s10052-007-0463-8