Determining the long living quasi-normal modes of relativistic stars

doi:10.1088/1674-1056/20/4/040401

中国物理B ›› 2011, Vol. 20 ›› Issue (4): 40401-040401.doi: 10.1088/1674-1056/20/4/040401

Determining the long living quasi-normal modes of relativistic stars

吕君丽¹, 孙纬武²

(1)College of Physics and Information Science, Hunan Normal University, Changsha 410081, China; (2)Department of Physics, Washington University, One Brookings Drive, St. Louis, MO 63130, USA;Department of Physics, Chinese University of Hong Kong, Shatin, Hong Kong, China

收稿日期:2010-09-13 修回日期:2010-11-06 出版日期:2011-04-15 发布日期:2011-04-15
基金资助:
Project supported by the Science Foundation of the Education Department of Hunan Province of China (Grant No. 07c578) and in part by the US National Science Foundation NRAC, the McDonnell Center for the Space Sciences of the Washington University (Grant No. MCA93S025).

Determining the long living quasi-normal modes of relativistic stars

Lü Jun-Li(吕君丽)^a)† and Suen Wai-Mo(孙纬武)^b)c)

^a College of Physics and Information Science, Hunan Normal University, Changsha 410081, China; ^b Department of Physics, Washington University, One Brookings Drive, St. Louis, MO 63130, USA; ^c Department of Physics, Chinese University of Hong Kong, Shatin, Hong Kong, China

Received:2010-09-13 Revised:2010-11-06 Online:2011-04-15 Published:2011-04-15
Supported by:
Project supported by the Science Foundation of the Education Department of Hunan Province of China (Grant No. 07c578) and in part by the US National Science Foundation NRAC, the McDonnell Center for the Space Sciences of the Washington University (Grant No. MCA93S025).

摘要/Abstract

摘要： Methods of finding quasi-normal modes of non-rotating relativistic stars have been well established, however, none of the existing treatments which take spacetime and fluid oscillations fully into account can determine modes of long decay time, e.g., the p and g mode series, or the f modes for stars with low compactness ratio (M/R). In this paper we show how the quasi-normal modes of long lifetime can be determined through refinements of a treatment originally due to Detweiler and Lindblom. The determination of the p mode series has been argued in the literature to have implication on the life time of gravitational wave sources and stellar stability. In this paper we 1) provide detailed steps in our treatment to facilitate future effort in this direction; 2) correct mistakes in the literature on the formulation; and 3) analyse the accuracy of the quasi-normal mode frequencies obtained and the limitations of the treatment.

关键词: relativistic stars, non-radial perturbations, gravitational wave, quasi-normal modes

Abstract: Methods of finding quasi-normal modes of non-rotating relativistic stars have been well established, however, none of the existing treatments which take spacetime and fluid oscillations fully into account can determine modes of long decay time, e.g., the p and g mode series, or the f modes for stars with low compactness ratio (M/R). In this paper we show how the quasi-normal modes of long lifetime can be determined through refinements of a treatment originally due to Detweiler and Lindblom. The determination of the p mode series has been argued in the literature to have implication on the life time of gravitational wave sources and stellar stability. In this paper we 1) provide detailed steps in our treatment to facilitate future effort in this direction; 2) correct mistakes in the literature on the formulation; and 3) analyse the accuracy of the quasi-normal mode frequencies obtained and the limitations of the treatment.

Key words: relativistic stars, non-radial perturbations, gravitational wave, quasi-normal modes

中图分类号: (Classical general relativity)

04.20.-q

04.25.D- (Numerical relativity) 04.30.-w (Gravitational waves)

吕君丽, 孙纬武. Determining the long living quasi-normal modes of relativistic stars[J]. 中国物理B, 2011, 20(4): 40401-040401.

Lü Jun-Li(吕君丽) and Suen Wai-Mo(孙纬武) . Determining the long living quasi-normal modes of relativistic stars[J]. Chin. Phys. B, 2011, 20(4): 40401-040401.

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Determining the long living quasi-normal modes of relativistic stars

Determining the long living quasi-normal modes of relativistic stars

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