首页> 外文期刊>The Astrophysical journal >RELATIVISTIC r-MODES IN SLOWLY ROTATING NEUTRON STARS: NUMERICAL ANALYSIS IN THE COWLING APPROXIMATION
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RELATIVISTIC r-MODES IN SLOWLY ROTATING NEUTRON STARS: NUMERICAL ANALYSIS IN THE COWLING APPROXIMATION

机译:慢速旋转中子星的相对论r型:耦合近似中的数值分析

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We investigate the properties of relativistic r-modes of slowly rotating neutron stars by using a rela-tivistic version of the Cowling approximation. In our formalism, we take into account the influence of the Coriolis-like force on the stellar oscillations but ignore the effects of the centrifugal-like force. For three neutron star models, we calculate the fundamental r-modes with l′ = m = 2 and 3. We find that the oscillation frequency σ of the fundamental r-mode is given in a good approximation by σ≈ κ_0 Ω, where a is defined in the corotating frame at spatial infinity and Ω is the angular frequency of rotation of the star. The proportional coefficient κ_0 is only weakly dependent on Ω, but it strongly depends on the relativistic parameter GM/c~2R, where M and R are the mass and the radius of the star. All the fundamental r-modes with l′ = m computed in this study are discrete modes with distinct regular eigen-functions, and they all fall in the continuous part of the frequency spectrum associated with Kojima's equation. These relativistic r-modes are obtained by including the effects of rotation higher than the first order of Ω so that the buoyant force plays a role, the situation of which is quite similar to that for Newtonian r-modes.
机译:我们通过使用考林近似的相对论版本来研究缓慢旋转的中子星的相对论r模的性质。在形式主义中,我们考虑了科里奥利力对恒星振荡的影响,但忽略了离心力的影响。对于三个中子星模型,我们计算出l′= m = 2和3的基本r-模。我们发现基本r-模的振荡频率σ近似为σ≈κ_0Ω,其中是在同向旋转框架中在空间无穷大处定义的,而Ω是恒星旋转的角频率。比例系数κ_0仅微弱地依赖于Ω,但强烈地依赖于相对论参数GM / c〜2R,其中M和R是恒星的质量和半径。本研究中计算的所有l'= m的基本r模都是具有独特正则函数的离散模,并且它们都属于与Kojima方程有关的频谱的连续部分。这些相对论r模式是通过包括高于一阶Ω的旋转效应来获得的,从而使浮力起作用,其情况与牛顿r模式的情况非常相似。

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