摘要
The modulational instability for longitudinal and transverse gravitoelectromagnetic(GEM)perturbations is investigated on the basis of the self-generated gravitomagnetic field equations in a self-gravitating system.Analytical results indicate that the instability may lead the initially uniformly distributed matter collapse into a small region where the density of matter and the quasi-static self-generated gravitomagnetic field are strongly enhanced.There will be a pancake-like structure because the characteristic scale of longitudinal perturbation is much larger than the transverse one.The anisotropic accumulation of matter and the generation of a gravitomagnetic field are in favor of the formation of a rotationally pancake-like structure.
作者
YANG Xiao-Song
LIU San-Qiu
LI Xiao-Qing
杨小松;刘三秋;李晓卿(School of Materials Science and Engineering,Nanchang University,Nanchang 330047;Department of Physics,Nanchang University,Nanchang 330047;Department of Physics,Nanjing Normal University,Nanjing 210097)
基金
Supported by the National Natural Science Foundation of China under Grant No.10974211
the National Basic Research Program of China under Grant No.2011CB921504
the Research Project of Shanghai Science and Technology Commission under Grant Nos.09DJ1400700 and 10DJ1400600.