Secular bar mode instabilities in rotating relativistic stars

Motoyuki Saijo, Eric Gourgoulhon

研究成果: Chapter

抄録

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.

本文言語English
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
ページ86-89
ページ数4
出版ステータスPublished - 2006
外部発表はい
イベント16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006 - Niigata
継続期間: 2006 11 272006 12 1

Other

Other16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006
CityNiigata
Period06/11/2706/12/1

ASJC Scopus subject areas

  • 原子分子物理学および光学

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