Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-08-06
Int.J.Mod.Phys.D17:2159-2170,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
8 latex pages, 3 figures, paper submitted in PRD
Scientific paper
10.1142/S0218271808013777
A Gauss-Bonnet dark energy model is considered, which is inspired in string/M-theory and takes also into account quantum contributions. Those are introduced from a conformal quantum anomaly. The corresponding solutions for the Hubble rate, $H$, are studied starting from the Friedmann-Robertson-Walker equation. It is seen that, as a pure effect of the quantum contributions, a new solution for $H$ exists in some region, which does not appear in the classical case. The behavior of all encountered solutions is studied with care, in particular, the role played by the quantum correction term--which depends on the number of matter fields--on the stability of the solutions around its asymptotic value. It is argued that, contrary to what happens in the classical case, quantum effects remarkably lead to the realization of a de Sitter stage which corresponds to the inflation/dark energy stages, even for positive values of the f_0 constant (coupling of the field with the Gauss-Bonnet invariant).
Arcos Hector Ivan
Elizalde Emilio
Hurtado John Quiroga
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