Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-04-19
Grav.Cosmol.12:253-261,2006
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, 2 figures
Scientific paper
We investigate $D$-dimensional gravitational model with curvature-quadratic and curvature-quartic correction terms: $R+R^2+R^4$. It is assumed that the corresponding higher dimensional spacetime manifold undergos a spontaneous compactification to a manifold with warped product structure. Special attention is paid to the stability of the extra-dimensional factor space for a model with critical dimension D=8. It is shown that for certain parameter regions the model allows for a freezing stabilization of this space. The effective four-dimensional cosmological constant is negative and the external four-dimensional spacetime is asymptotically AdS.
Saidov Tamerlan
Zhuk Alexander
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