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

  title={Induced Matter and Particle Motion in Non-Compact Kaluza-Klein Gravity},
  author={Andrew Billyard and William N. Sajko},
  journal={General Relativity and Gravitation},
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… 

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