Cosmological Evolution of Homogeneous Universal Extra Dimensions

Abstract

The lightest Kaluza-Klein particle appearing in models with universal extra dimensions has recently been proposed as a viable dark matter candidate when the extra dimensions are compactified on a scale of the order of 1 TeV. Underlying assumptions of this proposal are that the size of the extra dimensions stays constant and that the evolution of the universe is given by standard cosmology. Here we investigate, both analytically and numerically, whether this is possible without introducing an explicit stabilization mechanism. By analyzing Einstein's field equations for a (3+n+1)-dimensional homogeneous, but in general anisotropic universe, we find that approximately static extra dimensions arise naturally during radiation domination. For matter domination, however, there are no solutions to the field equations that allow static extra dimensions or the usual behavior of the scale factor for ordinary three-dimensional space. We conclude that an explicit mechanism is needed in order to stabilize the extra dimensions and reproduce standard cosmology as we know it.

12 pages, 2 figures; minor changes and 3 references added

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Cited by in corpus (24)

• Folded Supersymmetry and the LEP Paradox
• Graviton Cosmology in Universal Extra Dimensions
• Minimal Universal Extra Dimensions in CalcHEP/CompHEP
• Scalar Potential and Dyonic Strings in 6D Gauged Supergravity
• Multidimensional cosmological models: cosmological and astrophysical implications and constraints
• Nonsingular 4d-flat branes in six-dimensional supergravities
• Parameters of cosmological models and recent astronomical observations
• Accelerating Universe with a stable extra dimension in cuscuton gravity
• Cosmological Model with Nonminimal Derivative Coupling of Scalar Fields in Five Dimensions
• Crossing the phantom divide line in universal extra dimensions
• The effects of non-universal extra dimensions on the fermion electric dipole moments in the two Higgs doublet model
• Constraints on $\Lambda (t)$-cosmology with power law interacting dark sectors
• Anisotropic evolution of 5D Friedmann-Robertson-Walker spacetime
• The Dynamical Evolution of 3-Space in a Higher Dimensional Steady State Universe
• A four-dimensional ΛCDM-type cosmological model induced from higher dimensions using a kinematical constraint
• Can homogeneous extra dimensions be stabilized during matter domination?
• Evolution of the Universe with Flat Extra Dimensions
• Multidimensional gravitational model with anisotropic pressure
• $\Lambda$CDM cosmology with a quiescent anisotropy in a higher dimensional steady state universe
• Dynamical System Analysis of a Five-Dimensional Cosmological Model
• The possible effects of non-universal extra dimensions on t\to c l_i^- l_j^+ and H^0 \to h^0 (A^0) l_i^- l_j^+ decays in the general two Higgs Doublet model
• Reconstruction of Cosmological Evolution in the Presence of Extra Dimensions
• Inflation in Gauged 6D Supergravity
• Anisotropic evolution of D-dimensional FRW spacetime