论文标题
引力四极变形和恒星系统的潮汐变形性：（对本科生的爱数量）
Gravitational quadrupole deformation and the tidal deformability for stellar systems: (The number of) Love for undergraduates
论文作者
论文摘要
本文旨在为本科生提供有关恒星潮汐变形物理学的教学介绍。任何恒星的球形对称形状都会通过围绕任意轴的旋转或外部潮汐场的存在而变形。我们计算了这种恒星对象的椭圆度，并表明旋转可以类似于由外场引起的潮汐效应，从而诱导四极力矩。 2017年从二进制中子星合并合并的重力波对潮汐变形参数和紧凑型恒星的状态方程式的检测。我们从经典地得出相应的形式主义，并表明通过一般相对性采取的牛顿限制是合理的。物质的压缩性和紧凑性是经典讨论的，并将其与相对论方法进行了比较。我们发现相对性地，对潮汐变形性的主要影响与恒星的紧凑性有关。
This article is intended for undergraduate students with the aim to provide a pedagogical introduction to the physics of stellar tidal deformations. The spherically symmetric shape of any star is deformed via rotation around an arbitrary axis or by the presence of an external tidal field. We compute the ellipticity of such a stellar object and show that rotation can be treated analogously to tidal effects caused by an external field, which induces a quadrupole moment. The detection of gravitational waves from a binary neutron star merger in 2017 set constraints on the tidal deformability parameter and on equations of state for compact stars. We derive the corresponding formalism classically and show that the Newtonian limit taken via general relativity is justified. The compressibility and the compactness of matter are discussed classically and compared to the relativistic approach. We find that relativistically the main influence on tidal deformability is related to the star's compactness.
