Cylindrical Gravitational Wave: Source and Resonance

Symmetry

Yu-Jie Chen¹  Wu-Sheng Dai¹  Shi-Lin Li¹  Yu-Zhu Chen² 

[1] Department of Physics, Tianjin University, Tianjin 300350, China;Theoretical Physics Division, Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China;

关键词: gravitational wave;    singularity;    source;    resonance;   

DOI  :  10.3390/sym13081425

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown