International Journal of Theoretical Physics

, Volume 34, Issue 2, pp 293–299 | Cite as

Higher-dimensional vacuum solutions of Einstein's field equations

  • A. A. Coley


Some general solutions of the (general)D-dimensional vacuum Einstein field equations are obtained. The four-dimensional properties of matter are studied by investigating whether the higher-dimensional vacuum field equations reduce (formally) to Einstein's four-dimensional theory with matter. It is found that the solutions obtained give rise to an induced four-dimensional cosmological perfect fluid with a (physically reasonable) linear equation of state.


Field Theory Elementary Particle Quantum Field Theory Linear Equation General Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Appelquist, T., Chodos, A., and Freund, P. G. O. (1987).Modern Kaluza-Klein Theories, Addison-Wesley, Menlo Park, California.Google Scholar
  2. Bailin, D., and Love, A. (1987).Reports on Progress in Physics,50, 1057.Google Scholar
  3. Coley, A. A. (1994).The Astrophysical Journal,427, 585.Google Scholar
  4. Coley, A. A., and Tupper, B. O. J. (1986).Journal of Mathematical Physics,27, 406.Google Scholar
  5. Collins, P. D. B., Martin, A. D., and Squires, E. H. (1989).Particle Physics and Cosmology, Wiley, New York.Google Scholar
  6. Davidson, A., and Owen, D. A. (1985).Physics Letters,155B, 247.Google Scholar
  7. De Sabbata, V., and Schmutzer, E. (1983).Unified Field Theories of More Than 4 Dimensions Including Exact Solutions, World Scientific, Singapore.Google Scholar
  8. Einstein, A. (1956).The Meaning of Relativity, Princeton University Press, Princeton, New Jersey.Google Scholar
  9. Fukui, T. (1988).General Relativity and Gravitation,20, 1037.Google Scholar
  10. Henriques, A. B. (1986).Nuclear Physics B,277, 621.Google Scholar
  11. Kaluza, T. (1921).Sitzungsberichte der Preussicher Akademie der Wissenschaften Klasse fur Physik und Mathematik,LIV, 966.Google Scholar
  12. Klein, O. (1926a).Zeitschrift für Physik,37, 875.Google Scholar
  13. Klein, O. (1926b).Nature,118, 516.Google Scholar
  14. Madore, J. (1985).Physics Letters,110A, 289.Google Scholar
  15. Poisson, E. (1991).Classical and Quantum Gravity,8, 639.Google Scholar
  16. Salam, A. (1980).Reviews of Modern Physics,52, 525.Google Scholar
  17. Sokolowski, L. M., and Golda, Z. A. (1987).Physics Letters,195B, 349.Google Scholar
  18. Soleng, H. H. (1991).General Relativity and Gravitation,23, 313.Google Scholar
  19. Wesson, P. S. (1984).General Relativity and Gravitation,16, 193.Google Scholar
  20. Wesson, P. S. (1990).General Relativity and Gravitation,22, 707.Google Scholar
  21. Wiltshire, D. L. (1987).Physical Review D,36, 1634.Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • A. A. Coley
    • 1
  1. 1.Department of Mathematics, Statistics and Computing ScienceDalhousie UniversityHalifaxCanada

Personalised recommendations