Chin. Phys. Lett.  2011, Vol. 28 Issue (10): 100402    DOI: 10.1088/0256-307X/28/10/100402
GENERAL |
Modulational Instability for Gravitoelectromagnetic Perturbations with Longitudinal and Transverse Modes
YANG Xiao-Song1, LIU San-Qiu1,2**, LI Xiao-Qing2,3
1School of Materials Science and Engineering, Nanchang University, Nanchang 330047
2Department of Physics, Nanchang University, Nanchang 330047
3Department of Physics, Nanjing Normal University, Nanjing 210097
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YANG Xiao-Song, LIU San-Qiu, LI Xiao-Qing 2011 Chin. Phys. Lett. 28 100402
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Abstract 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.
Keywords: 04.30.Nk      52.35.Mw      98.65.Dx      95.10.Ce     
Received: 25 April 2011      Published: 28 September 2011
PACS:  04.30.Nk (Wave propagation and interactions)  
  52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))  
  98.65.Dx (Superclusters; large-scale structure of the Universe (including voids, pancakes, great wall, etc.))  
  95.10.Ce (Celestial mechanics (including n-body problems))  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/28/10/100402       OR      https://cpl.iphy.ac.cn/Y2011/V28/I10/100402
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YANG Xiao-Song
LIU San-Qiu
LI Xiao-Qing
[1] Li X Q and Zhang H 1997 Astrophys. Space Sci. 250 175
[2] Li X Q 1990 Astron. Astrophys. 227 317
[3] Weinberg S Gravitation and Cosmology (John Wliey & Sons Inc., New York London Sydney Toronto 1972) chap
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[6] Fridman A M and Polyachenk V L 1984 Physics of Gravitating System II Translated by Aries A B and Poliakoff Igor N (Berlin: Springer-Verlag)
[7] Lee S M and Hong S S 2011 Astrophys. J. 734 101
[8] Chang R X, Hou J L, Shen S Y and Shu C G 2010 Astrophys. J. 722 380
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[10] Zhang H, Li X Q and Ma Y H 1998 Phys. Rev. E 57 1114
[11] Li X Q and Zhang H 1994 Astron. Astrophys 292 686
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[13] Yang X S, Liu S Q and Li X Q 2010 Gravit. Cosmol. 16 316
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[16] Li X Q, Liu S Q and Tao X Y 2009 Ann. Phys. (Berlin) 18 436
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