Kaluza-Klein induced gravity inflation

Abstract

A D-dimensional induced gravity theory is studied carefully in a 4 + (D-4) dimensional Friedmann-Robertson-Walker space-time. We try to extract information about the symmetry-breaking potential in search of an inflationary solution with a nonexpanding internal space. We find that the induced gravity model imposes strong constraints on the form of the symmetry-breaking potential in order to generate an acceptable inflationary universe. These constraints are analyzed carefully in this paper.