General Relativity and Gravitation

, Volume 33, Issue 11, pp 1929–1951

Induced Matter and Particle Motion in Non-Compact Kaluza-Klein Gravity

  • A. P. Billyard
  • W. N. Sajko

DOI: 10.1023/A:1013046825852

Cite this article as:
Billyard, A.P. & Sajko, W.N. General Relativity and Gravitation (2001) 33: 1929. doi:10.1023/A:1013046825852


We examine generalizations of the five-dimensional canonical metric by including a dependence of the extra coordinate in the four-dimensional metric. We discuss a more appropriate way to interpret the four-dimensional energy-momentum tensor induced from the five-dimensional space-time and show it can lead to quite different physical situations depending on the interpretation chosen. Furthermore, we show that the assumption of five-dimensional null trajectories in Kaluza-Klein gravity can correspond to either four-dimensional massive or null trajectories when the path parameterization is chosen properly. Retaining the extra-coordinate dependence in the metric, we show the possibility of a cosmological variation in the rest masses of particles and a consequent departure from four-dimensional geodesic motion by a geometric force. In the examples given, we show that at late times it is possible for particles traveling along 5D null geodesics to be in a frame consistent with the induced matter scenario.

Kaluza-Klein induced matter cosmological constant geodesics 

Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • A. P. Billyard
    • 1
  • W. N. Sajko
    • 2
  1. 1.Department of PhysicsQueen's UniversityKingstonCanada
  2. 2.Department of PhysicsUniversity of WaterlooWaterlooCanada

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