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
Article

Abstract

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.

Keywords

Field Theory Elementary Particle Quantum Field Theory Linear Equation General Solution 

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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

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

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