Gauge equivalent universes in 5d Kaluza-Klein theory

2002/07/31 by Gyeong Yun Jun, Pyung Seong Kwon
Physics and Astronomy · #hep-th

paper · pdf

published as J.Korean Phys.Soc. 43 (2003) 188-192 · 10 pages, corrected some typos

arxiv created 2003/03/23 · arxiv updated 2009/11/30

Abstract

We examine in the framework of 5d Kaluza-Klein theory the gauge equivalence of x⁵-dependent cosmological solutions each of which describes in the 4d sector an arbitrarily evolving isotropic, homogeneous universe with some pure gauge. We find that (1)within a certain time scale τ_c (which is characterized by the compactification radius R_c) any arbitrarily evolving 4d universe is allowed to exist by field equations, and these 4d universes with appropriate pure gauges are all gauge equivalent as long as they are of the same topology. (2)Outside τ_c the gauge equivalence disappears and the evolution of the universe is fixed by field equations.

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