https://doi.org/10.1140/epjc/s10052-007-0463-8
Regular Article - Theoretical Physics
Dark energy generated from a (super-) string effective action with higher-order curvature corrections and a dynamical dilaton
1
Campus UAB, Facultat de Ciències, Consejo Superior de Investigaciones Científicas ICE/CSIC-IEEC, Torre C5-Parell-2a pl, 08193, Bellaterra (Barcelona), Spain
2
Center of Theoretical Physics, Jamia Millia Islamia, Jamia Nagar, Delhi, 110092, India
3
Department of Physics, Nagoya University, Nagoya, 464-8602, Japan
4
Campus UAB, Facultat de Ciències, Instituciò Catalana de Recerca i Estudis Avançats (ICREA) and Institut de Ciencies de l’Espai (IEEC-CSIC), Torre C5-Par-2a pl, 08193, Bellaterra (Barcelona), Spain
* e-mail: nojiri@phys.nagoya-u.ac.jp
Received:
30
September
2007
Published online:
22
November
2007
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 
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.
© Springer-Verlag , 2008
