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

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

Abstract We solve a $$1+5$$ 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 curva...

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Main Authors: Yu-Zhu Chen, Wen-Du Li, Wu-Sheng Dai
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-5341-4
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spelling doaj-c34fe3ef55bb4aeda0013e268e1802a72020-11-24T21:53:59ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-12-0177121810.1140/epjc/s10052-017-5341-4A $$1+5$$ 1 + 5 -dimensional gravitational-wave solution: curvature singularity and spacetime singularityYu-Zhu Chen0Wen-Du Li1Wu-Sheng Dai2Department of Physics, Tianjin UniversityDepartment of Physics, Tianjin UniversityTheoretical Physics Division, Chern Institute of Mathematics, Nankai UniversityAbstract We solve a $$1+5$$ 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.http://link.springer.com/article/10.1140/epjc/s10052-017-5341-4
collection DOAJ
language English
format Article
sources DOAJ
author Yu-Zhu Chen
Wen-Du Li
Wu-Sheng Dai
spellingShingle Yu-Zhu Chen
Wen-Du Li
Wu-Sheng Dai
A $$1+5$$ 1 + 5 -dimensional gravitational-wave solution: curvature singularity and spacetime singularity
European Physical Journal C: Particles and Fields
author_facet Yu-Zhu Chen
Wen-Du Li
Wu-Sheng Dai
author_sort Yu-Zhu Chen
title A $$1+5$$ 1 + 5 -dimensional gravitational-wave solution: curvature singularity and spacetime singularity
title_short A $$1+5$$ 1 + 5 -dimensional gravitational-wave solution: curvature singularity and spacetime singularity
title_full A $$1+5$$ 1 + 5 -dimensional gravitational-wave solution: curvature singularity and spacetime singularity
title_fullStr A $$1+5$$ 1 + 5 -dimensional gravitational-wave solution: curvature singularity and spacetime singularity
title_full_unstemmed A $$1+5$$ 1 + 5 -dimensional gravitational-wave solution: curvature singularity and spacetime singularity
title_sort $$1+5$$ 1 + 5 -dimensional gravitational-wave solution: curvature singularity and spacetime singularity
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2017-12-01
description Abstract We solve a $$1+5$$ 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.
url http://link.springer.com/article/10.1140/epjc/s10052-017-5341-4
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AT wushengdai a1515dimensionalgravitationalwavesolutioncurvaturesingularityandspacetimesingularity
AT yuzhuchen 1515dimensionalgravitationalwavesolutioncurvaturesingularityandspacetimesingularity
AT wenduli 1515dimensionalgravitationalwavesolutioncurvaturesingularityandspacetimesingularity
AT wushengdai 1515dimensionalgravitationalwavesolutioncurvaturesingularityandspacetimesingularity
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