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arXiv · 1708.08389

A 1+5-dimensional gravitational-wave solution: curvature singularity and spacetime singularity

Yu-Zhu Chen·Wen-Du Li·Wu-Sheng Dai
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Abstract

We solve a $1+5$-dimensional cylindrical gravitational-wave solution of the Einstein equation, in which there are two curvature singularities. Then we show that one of the curvature singularities can be removed by an extension of the spacetime. The result exemplifies that the curvature singularity is not always a spacetime singularity; in other words, the curvature singularity cannot serve as a criterion for spacetime singularities.

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Yu-Zhu Chen, Wen-Du Li, Wu-Sheng Dai. 2017-12-19. A 1+5-dimensional gravitational-wave solution: curvature singularity and spacetime singularity. https://doi.org/10.1140/epjc%2Fs10052-017-5341-4

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