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Higher-dimensional vacuum solutions of Einstein's field equations

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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.

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Authors and Affiliations

  1. Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada

    A. A. Coley

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  1. A. A. Coley
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Coley, A.A. Higher-dimensional vacuum solutions of Einstein's field equations. Int J Theor Phys 34, 293–299 (1995). https://doi.org/10.1007/BF00672808

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  • DOI: https://doi.org/10.1007/BF00672808

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