https://doi.org/10.1140/epjc/s10052-017-5341-4
Regular Article - Theoretical Physics
A
-dimensional gravitational-wave solution: curvature singularity and spacetime singularity
1
Department of Physics, Tianjin University, Tianjin, 300072, People’s Republic of China
2
Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin, 300071, People’s Republic of China
3
LiuHui Center for Applied Mathematics, Nankai University and Tianjin University, Tianjin, 300072, People’s Republic of China
* e-mail: daiwusheng@tju.edu.cn
Received:
18
September
2017
Accepted:
30
October
2017
Published online:
12
December
2017
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.
© The Author(s), 2017