Higher-dimensional vacuum solutions of Einstein's field equations |
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| Authors: | A A Coley |
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| Institution: | (1) Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada |
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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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