Dynamical Compactification, Standard Cosmology and the Accelerating Universe

Abstract

A cosmological model based on Kaluza-Klein theory is studied. A metric, in which the scale factor of the compact space evolves as an inverse power of the radius of the observable universe, is constructed. The Freedmann-Robertson-Walker equations of standard four-dimensional cosmology are obtained precisely. The pressure in our universe is an effective pressure expressed in terms of the components of the higher dimensional energy-momentum tensor. In particular, this effective pressure could be negative and might therefore explain the acceleration of our present universe. A special feature of this model is that, for a suitable choice of the parameters of the metric, the higher dimensional gravitational coupling constant could be negative.

11 pages, uses revtex

Cited by in corpus (25)

• 5-dimensional Brans-Dicke Theory and Cosmic Acceleration
• Parameters of cosmological models and recent astronomical observations
• Cosmological Evolution of Homogeneous Universal Extra Dimensions
• Solutions of Higher Dimensional Gauss-Bonnet FRW Cosmology
• Multi-dimensional classical and quantum cosmology: Exact solutions, signature transition and stabilization
• Regular Compact Objects with Scalar Hair
• Sp-brane accelerating cosmologies
• Higher dimensional Loop Quantum Cosmology
• Five dimensional cosmological traversable wormhole
• Accelerating Universe as Window for Extra Dimensions
• Cosmological Implications of 5-dimensional Brans-Dicke Theory
• An expanding 4D universe in a 5D Kaluza-Klein cosmology with higher dimensional matter
• Accelerating Universe and Dynamical Compactification of Extra Dimensions
• Anisotropic evolution of 5D Friedmann-Robertson-Walker spacetime
• Accelerated FRW Solutions in Chern-Simons Gravity
• The Dynamical Evolution of 3-Space in a Higher Dimensional Steady State Universe
• 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
• 7D Randall-Sundrum cosmology, brane-bulk energy exchange and holography
• Effective Dynamics of Loop Quantum Kaluza-Klein Cosmology
• Generalization of Instanton-Induced Inflation and Dynamical Compactification
• State-Relevant Maxwell's Equation from Kaluza-Klein Theory
• Anisotropic evolution of D-dimensional FRW spacetime
• The Mattig Expression for a d-dimensional Gauss Bonnet FRWL Cosmology