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
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
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.
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.
YANG Xiao-Song;LIU San-Qiu;**;LI Xiao-Qing;
. Modulational Instability for Gravitoelectromagnetic Perturbations with Longitudinal and Transverse Modes[J]. 中国物理快报, 2011, 28(10): 100402-100402.
YANG Xiao-Song, LIU San-Qiu, **, LI Xiao-Qing,
. Modulational Instability for Gravitoelectromagnetic Perturbations with Longitudinal and Transverse Modes. Chin. Phys. Lett., 2011, 28(10): 100402-100402.
[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
[4] Mikhailovskii A B Theory of plasma instabilities (Consultants Bureau New York 1978) chap
[5] Braginsky V B, Caves C M and Thorne Kip S 1977 Phys. Rev. D 15 2047
[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
[9] Li X Q and Li L H 1992 Chin. Phys. Lett. 9 277
[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
[12] Zhang H and Li X Q 2002 Chin. Phys. Lett. 19 280
[13] Yang X S, Liu S Q and Li X Q 2010 Gravit. Cosmol. 16 316
[14] Peng H 1983 Gene. Relat. Gravit. 15 725
[15] Thorne Kip S, Price R H and MacDonald D A 1986 Black Holes: The Membrane Paradigm (New Haven, CT: Yale University) chap 4
[16] Li X Q, Liu S Q and Tao X Y 2009 Ann. Phys. (Berlin) 18 436
[17] Thornhill S G and Haar D 1978 Phys. Rep. 43 43
2011, Vol. 28 
