Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-09-10
Class.Quant.Grav. 22 (2005) 3135-3167
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, minor cosmetic improvements, Refs. added; to appear in Class. Quantum Grav
Scientific paper
10.1088/0264-9381/22/16/002
We study multidimensional gravitational models with scalar curvature nonlinearities of the type 1/R and R^4. It is assumed that the corresponding higher dimensional spacetime manifolds undergo a spontaneous compactification to manifolds with warped product structure. Special attention is paid to the stability of the extra-dimensional factor spaces. It is shown that for certain parameter regions the systems allow for a freezing stabilization of these spaces. In particular, we find for the 1/R model that configurations with stabilized extra dimensions do not provide a late-time acceleration (they are AdS), whereas the solution branch which allows for accelerated expansion (the dS branch) is incompatible with stabilized factor spaces. In the case of the R^4 model, we obtain that the stability region in parameter space depends on the total dimension D=dim(M) of the higher dimensional spacetime M. For D>8 the stability region consists of a single (absolutely stable) sector which is shielded from a conformal singularity (and an antigravity sector beyond it) by a potential barrier of infinite height and width. This sector is smoothly connected with the stability region of a curvature-linear model. For D<8 an additional (metastable) sector exists which is separated from the conformal singularity by a potential barrier of finite height and width so that systems in this sector are prone to collapse into the conformal singularity. This second sector is not smoothly connected with the first (absolutely stable) one. Several limiting cases and the possibility for inflation are discussed for the R^4 model.
Bezerra Valdir
Guenther Uwe
Romero Carlos
Zhuk Alexander
No associations
LandOfFree
AdS and stabilized extra dimensions in multidimensional gravitational models with nonlinear scalar curvature terms 1/R and R^4 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with AdS and stabilized extra dimensions in multidimensional gravitational models with nonlinear scalar curvature terms 1/R and R^4, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and AdS and stabilized extra dimensions in multidimensional gravitational models with nonlinear scalar curvature terms 1/R and R^4 will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-245542