Kaluza-Klein Higher Derivative Induced Gravity

TL;DR

This paper investigates the existence and stability of inflationary solutions in a higher-dimensional induced gravity model, deriving conditions for a stable inflationary external space with static internal dimensions.

Contribution

It provides a stability analysis of inflationary solutions in a D+4-dimensional anisotropic induced gravity model, deriving specific constraints on coupling constants.

Findings

Stable inflationary solutions with static internal dimensions identified

Derived explicit conditions on coupling constants for stability

Presented a compact Friedmann equation for higher-dimensional models

Abstract

The existence and stability analysis of an inflationary solution in a $D+4$-dimensional anisotropic induced gravity is presented in this paper. Nontrivial conditions in the field equations are shown to be compatible with a cosmological model in which the 4-dimension external space evolves inflationary, while, the D-dimension internal one is static. In particular, only two additional constraints on the coupling constants are derived from the abundant field equations and perturbation equations. In addition, a compact formula for the non-redundant 4+D dimensional Friedmann equation is also derived for convenience. Possible implications are also discussed in this paper.