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arXiv · 0904.0065

N-dimensional plane symmetric solution with perfect fluid source

Hongsheng Zhang·Hyerim Noh
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Abstract

A new class of plane symmetric solution sourced by a perfect fluid is found in our recent work. An n-dimensional ($n\geq 4$) global plane symmetric solution of Einstein field equation generated by a perfect fluid source is investigated, which is the direct generalization of our previous 4-dimensional solution. One time-like Killing vector and $(n-2)(n-1)/2$ space-like Killing vectors, which span a Euclidean group $G_{(n-2)(n-1)/2}$, are permitted in this solution. The regions of the parameters constrained by weak, strong and dominant energy conditions for the source are studied. The boundary condition to match to n-dimensional Taub metric and Minkowski metric are analyzed respectively.

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Hongsheng Zhang, Hyerim Noh. 2009-07-15. N-dimensional plane symmetric solution with perfect fluid source. https://doi.org/10.1016/j.physletb.2008.12.057

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