论文标题

具有弹性外壳的中子星的潮汐变形

Tidal deformations of neutron stars with elastic crusts

论文作者

Gittins, Fabian, Andersson, Nils, Pereira, Jonas P.

论文摘要

通过重力波检测器对二进制中子恒星合并的首次检测,证明及时考虑中子恒星的内部结构如何影响它们不对称变形的方式。这种变形可能会在重力波信号上留下可测量的烙印,并且可以通过潮汐相互作用或山的形成来提供。我们详细介绍了形式主义,描述了具有静态扰动的弹性外壳的完全相关的中子星模型。这种形式主义的素质是研究可以变形中子恒星的多种机制的问题。我们提出了状态的正压方程和弹性外壳的现实模型的结果,这使我们能够计算相关数量,例如潮汐变形性参数。我们发现,弹性外壳的包含为潮汐变形性提供了非常小的校正。结果使我们能够证明在二进制Inspral期间外壳何时何地开始失败,我们发现大多数地壳将保持完整直到合并为止。

With the first detections of binary neutron star mergers by gravitational-wave detectors, it proves timely to consider how the internal structure of neutron stars affects the way in which they can be asymmetrically deformed. Such deformations may leave measurable imprints on gravitational-wave signals and can be sourced through tidal interactions or the formation of mountains. We detail the formalism that describes fully-relativistic neutron star models with elastic crusts undergoing static perturbations. This formalism primes the problem for studies into a variety of mechanisms that can deform a neutron star. We present results for a barotropic equation of state and a realistic model for the elastic crust, which enables us to compute relevant quantities such as the tidal deformability parameter. We find that the inclusion of an elastic crust provides a very small correction to the tidal deformability. The results allow us to demonstrate when and where the crust starts to fail during a binary inspiral and we find that the majority of the crust will remain intact up until merger.

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