A 1+5-dimensional gravitational-wave solution: curvature singularity and spacetime singularity
General Relativity and Quantum Cosmology
2018-08-16 v3
Abstract
We solve a -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.
Cite
@article{arxiv.1708.08389,
title = {A 1+5-dimensional gravitational-wave solution: curvature singularity and spacetime singularity},
author = {Yu-Zhu Chen and Wen-Du Li and Wu-Sheng Dai},
journal= {arXiv preprint arXiv:1708.08389},
year = {2018}
}