Journal of Gravity
Volume 2015 (2015), Article ID 901870, 6 pages
http://dx.doi.org/10.1155/2015/901870
Research Article

Field Equations and Lagrangian for the Kaluza Metric Evaluated with Tensor Algebra Software

Konfluence Research Institute, 6009 Olympic, Manitou Springs, CO 80829, USA

Received 1 August 2014; Accepted 2 December 2014

Academic Editor: Shinji Tsujikawa

Copyright © 2015 L. L. Williams. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. T. Kaluza, Sitzungsberichte der K. Preussischen Akademie der Wissenschaften zu Berlin, vol. 966, 1921.
  2. M. Y. Thiry, “Geometry—the equations of Kaluza's unified theory,” Comptes Rendus de l'Académie des Sciences, vol. 226, p. 216, 1948. View at Google Scholar
  3. H. Goenner, “Some remarks on the genesis of scalar-tensor theories,” General Relativity and Gravitation, vol. 44, no. 8, pp. 2077–2097, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. T. Applequist, A. Chodos, and P. G. O. Freund, Modern Kaluza-Klein Theories, Addison-Wesley, New York, NY, USA, 1987.
  5. xTensor, in the xAct package, http://www.xact.es/.
  6. “xTensor computer tensor algebra file,” http://www.konfluence.org/.
  7. O. Klein, “Quantentheorie und fünfdimensionale Relativitätstheorie,” Zeitschrift für Physik, vol. 37, no. 12, pp. 895–906, 1926. View at Publisher · View at Google Scholar
  8. J. M. Overduin and P. S. Wesson, “Kaluza-Klein gravity,” Physics Report, vol. 283, no. 5-6, pp. 303–378, 1997. View at Publisher · View at Google Scholar · View at Scopus
  9. R. Coquereaux and G. Esposito-Farese, “The theory of Kaluza-Klein-Jordan-Thiry revisted,” Annales de l'Institut Henri Poincare Physique Theorique, vol. 52, p. 113, 1990. View at Google Scholar
  10. C. Brans and R. H. Dicke, “Mach's principle and a relativistic theory of gravitation,” Physical Review, vol. 124, no. 3, pp. 925–935, 1961. View at Publisher · View at Google Scholar · View at Scopus
  11. C. Will, Theory and Experiment in Gravitational Physics, revised edition, Cambridge University Press, Cambridge, Mass, USA, 1993.
  12. V. Faraoni, “Illusions of general relativity in Brans-Dicke gravity,” Physical Review D, vol. 59, no. 8, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  13. S. Carroll, Spacetime and Geometry, section 4.8, Addison Wesley, San Francisco, Calif, USA, 2004. View at MathSciNet