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arXiv 0909.2411gr-qcastro-ph.HE
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用引力波天文地震学探讨张量-矢量-标量理论

Probing Tensor-Vector-Scalar Theory with Gravitational Wave Asteroseismology

Hajime Sotani

摘要:

为了在张量-矢量-标量(TeVeS)理论中研究中子星发射的引力波,我们导出了相对论星的微扰方程,其中为了简化起见,我们省略了矢量场的微扰。也就是说,我们考虑标量场和张量场的微扰。在这个假设下,我们发现对应于时空振荡($w$模)的轴向引力波与标量场的扰动无关,而标量场的影响只能通过背景性质来体现。采用两种不同的状态方程,计算了轴向$w$模的复本征频率,发现频率对恒星致密性的依赖性几乎与所采用的状态方程和TeVeS中的参数无关。此外,TeVeS中轴向$w$模的频率依赖性与广义相对论中的结果明显不同.因此,对引力波的直接观测可以揭示强场区域的引力理论。

英文摘要:

In order to examine the gravitational waves emitted from the neutron stars in the tensor-vector-scalar (TeVeS) theory, we derive the perturbation equations for relativistic stars, where for simplicity we omit the perturbations of vector field. That is, we consider the perturbations of scalar and tensor fields. With this assumption, we find that the axial gravitational waves, which are corresponding to the oscillations of spacetime ($w$ modes), are independent from the perturbations of scalar field and the effects of scalar field can be mounted only via the background properties. Using two different equations of state, we calculate the complex eigenfrequencies of axial $w$ modes and find that the dependences of frequencies on the stellar compactness are almost independent from the adopted equation of state and the parameter in TeVeS. Additionally, these dependences of frequencies of axial $w$ modes in TeVeS is obviously different from those expected in the general relativity. Thus the direct observations of gravitational waves could reveal the gravitational theory in the strong-field regime.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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