Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-18
Phys.Lett.B663:424-428,2008
Physics
High Energy Physics
High Energy Physics - Theory
5 pages and 2 figures, typos corrected, final version to appear in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2008.04.054
In this paper we have investigated the cosmological dynamics of non-locally corrected gravity involving a function of the inverse d'Alembertian of the Ricci scalar, $f(\Box^{-1} R))$. Casting the dynamical equations into local form, we derive the fixed points of the dynamics and demonstrate the existence and stability of a one parameter family of dark energy solutions for a simple choice, $f(\Box^{-1} R)\sim \exp(\alpha \Box^{-1} R)$. The effective EoS parameter is given by, $w_{\rm eff}=({\alpha-1})/({3\alpha-1})$ and the stability of the solutions is guaranteed provided that $1/3<\alpha<2/3$. For $1/3<\alpha<1/2$ and $1/2<\alpha<2/3$, the underlying system exhibits phantom and non-phantom behavior respectively; the de Sitter solution corresponds to $\alpha=1/2$. For a wide range of initial conditions, the system mimics dust like behavior before reaching the stable fixed point. The late time phantom phase is achieved without involving negative kinetic energy fields. A brief discussion on the entropy of de Sitter space in non-local model is included.
Jhingan Sanjay
Nojiri Shin'ich
Odintsov Sergei D.
Sami M.
Thongkool I.
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