Local Regions with Expanding Extra Dimensions

@article{Bronnikov2021LocalRW,
  title={Local Regions with Expanding Extra Dimensions},
  author={Kirill A. Bronnikov and Sergey G. Rubin},
  journal={Physics},
  year={2021}
}
In this paper possible spatial domains, containing expanding extra dimensions, are studied. It is demonstrated that these domains are predicted in the framework of f(R) gravity (where R is the scalar curviture) and could appear due to quantum fluctuations during inflation. The interior of the domains is shown to be characterized by the multidimensional curvature ultimately tending to zero and a slowly growing size of the extra dimensions. 

Figures from this paper

References

SHOWING 1-10 OF 52 REFERENCES
Effective action and cosmological evolution of scale factors in higher-dimensional curved spacetime
The quantum effective action is computed at finite temperatures in a Robertson-Walker type of metric suggested in Kaluza-Klein theories. The most interesting result is that above a criticalExpand
Inhomogeneous Extra Space as a Tool for the Top-Down Approach
The top-down approach for the 6-dimensional space has been elaborated. The connection between the cosmological constant and the extra space metric has been obtained. The metric can be found with theExpand
Dynamics of dimensional reduction
In d-dimensional unified theories that, along with gravity, contain an antisymmetric tensor field of rank s-1, preferential compactification of d-s or of s space-like dimensions is found to occur.Expand
Classical evolution of subspaces
We study evolution of manifolds after their creation at high energies. Several kinds of gravitational Lagrangians with higher derivatives are considered. It is shown analytically and confirmedExpand
Dark energy and stabilization of extra dimensions
We discuss the role Casimir energies may play in addressing issues of moduli stabilization and dark energy. In particular, we examine a (non-supersymmetric) brane world scenario with toroidal extraExpand
Radion stabilization in compact hyperbolic extra dimensions
We consider radion stabilization in hyperbolic brane-world scenarios. We demonstrate that in the context of Einstein gravity, matter fields which stabilize the extra dimensions must violate the nullExpand
On Cosmology in Nonlinear Multidimensional Gravity with Multiple Factor Spaces
Within the scope of multidimensional Kaluza–Klein gravity with nonlinear curvature terms and two spherical extra spaces of dimensions m and n, we study the properties of an effective action for theExpand
A New Type of Isotropic Cosmological Models without Singularity - Phys. Lett. B91, 99 (1980)
Abstract The Einstein equations with quantum one-loop contributions of conformally covariant matter fields are shown to admit a class of nonsingular isotropic homogeneous solutions that correspond toExpand
Self-stabilization of extra dimensions
We show that the problem of stabilization of extra dimensions in Kaluza-Klein type cosmology may be solved in a theory of gravity involving high-order curvature invariants. The method suggestedExpand
Interpenetrating subspaces as a funnel to extra space
Abstract New solution for two interpenetrating universes is found. Higher derivative gravity acting in 6-dimensional space is the basis of the study that allows to obtain stable solution withoutExpand
...
1
2
3
4
5
...