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Cylindrical Gravitational Wave: Source and Resonance

Authors :
Yu-Zhu Chen
Shi-Lin Li
Yu-Jie Chen
Wu-Sheng Dai
Source :
Symmetry, Vol 13, Iss 8, p 1425 (2021)
Publication Year :
2021
Publisher :
MDPI AG, 2021.

Abstract

Gravitational waves are regarded as linear waves in the weak field approximation, which ignores the spacetime singularity. In this paper, we analyze singularities in exact gravitational wave solutions. We provide an exact general solution of the gravitational wave with cylindrical symmetry. The general solution includes some known cylindrical wave solutions as special cases. We show that there are two kinds of singularities in the cylindrical gravitational wave solution. The first kind of singularity corresponds to a singular source. The second kind of singularity corresponds to a resonance between different gravitational waves. When two gravitational waves coexist, the interference term in the source may vanish in the sense of time averaging.

Details

Language :
English
ISSN :
20738994
Volume :
13
Issue :
8
Database :
Directory of Open Access Journals
Journal :
Symmetry
Publication Type :
Academic Journal
Accession number :
edsdoj.4455b7a0dcd4089b7d06ed2df70fe23
Document Type :
article
Full Text :
https://doi.org/10.3390/sym13081425