We investigate the viscosity driven instability in rotating relativistic stars by means of an iterative approach. We focus on polytropic rotating equilibrium stars and impose an m = 2 perturbation in the lapse. We vary both the stiffness of the equation of state and the compactness of the star to study these factors on the critical value T/W for the instability. For a rigidly rotating star, the criterion T/W, where T is the rotational kinetic energy and W the gravitational binding energy, mainly depends on the compactness of the star and takes values around 0.13 ~ 0.16, which slightly differ from that of Newtonian incompressible stars (~ 0.14). For differentially rotating stars, the critical value of T/W is found to span the range 0.17 - 0.25. The value is significantly larger than in the rigidly rotating case with the same compactness of the star.
|ホスト出版物のタイトル||Proceedings of the 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006|
|出版ステータス||Published - 2006|
|イベント||16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006 - Niigata|
継続期間: 2006 11月 27 → 2006 12月 1
|Other||16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006|
|Period||06/11/27 → 06/12/1|
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