Dimensional Reduction in 6D Standing Waves Braneworld

TL;DR

This paper presents an exact 6D standing wave braneworld solution demonstrating a dynamical mechanism that causes three spatial dimensions to expand while others contract, potentially explaining dimensional reduction in higher-dimensional theories.

Contribution

It introduces a novel exact solution in 6D braneworld models showing how anisotropic primordial metrics can dynamically reduce extra dimensions, aiding in understanding 4D space-time emergence.

Findings

Exact 6D cosmological solution found

Anisotropic expansion leads to dimensional reduction

Potential relevance for string theory and higher-dimensional models

Abstract

We found cosmological solution of the 6D standing wave braneworld model generated by gravity coupled to a massless scalar phantom-like field. By obtaining a full exact solution of the model we found a novel dynamical mechanism in which the anisotropic nature of the primordial metric gives rise to expansion of three spatial brane dimensions and affectively reduction of other spatial directions. This dynamical mechanism can be relevant for dimensional reduction in string and other higher dimensional theories in the attempt of getting a 4D isotropic expanding space-time.