Cosmology and Matter-Induced Branes

Abstract

The extra space paradigm plays a significant role in modern physics and cosmology as a specific case. In this review, the relation between the main cosmological parameters -the Planck mass and the Cosmological constants -and a metric of extra space is discussed. Matter distribution inside extra space and its effect on the 4-dimensional observational parameters is of particular interest.The ways to solve the Fine-tuning problem and the Hierarchy problem are analyzed.

Cosmological accumulation of conserved numbers in Kaluza-Klein theories

“…Consider as a final result of the stabilization a compact 2-dim apple-like extra space. This configuration is stationary as was shown in the works [3,14]. It has rotational symmetry which we interpret (in 4-dim limit) as U (1) global symmetry with the associated conserved number.…”

Formation of Conserved Charge at the de Sitter Space

“…As an example, consider a compact two-dimensional apple-like extra space formed as a final stage of the stabilization. The stationarity of this configuration was shown in the works [8,9]. In addition, it has axial symmetry which can be interpreted (in the effective four-dimensional theory) as U (1)-symmetry with the corresponding conserved number.…”

“…Further strategy is as follows. We will find the metric and field of stationary configuration of the extra space by solving the system of Equations (9) and (12). Then, we study the time evolution of small fluctuations near the stationary configuration by solving the linearized system equations.…”