| 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
|
|
| Cite this article: |
|
YANG Xiao-Song, LIU San-Qiu, LI Xiao-Qing 2011 Chin. Phys. Lett. 28 100402 |
|
|
|
|
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))
|
|
|
|
|
|
[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
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
