论文标题
磁性变形性和重力波相的演变的磁化紧凑型二进制
Tidal deformability and gravitational-wave phase evolution of magnetised compact-star binaries
论文作者
论文摘要
由紧凑型恒星的灵感二进制物产生的信号中重力波相的演变通过两个恒星的非零可变形性来改变。因此，对这些校正的测量有可能提供有关核物质状态方程的重要信息。在过去的十年中，已经进行了广泛的工作以量化这些校正，但到目前为止，它仅限于固有磁场为零的恒星。虽然预计磁性张力和磁性压力引入的校正将是亚尺寸的，但确定这些校正变得重要的确切条件仍然很有用。为了解决这个问题，我们已经在各种磁场强度和描述中子星或夸克恒星的状态方程下对磁化紧凑型恒星的潮汐变形性进行了二阶扰动分析。总体而言，我们发现对潮汐变形性的磁性校正将导致重力波相位的变化，而对于逼真的磁场，即$ b \ sim 10^{10} -10^{12} {12} {\ rm g} $。同时，如果磁场不切实际，即$ b \ sim 10^{16} \，{\ rm g} $，这些校正将对相位演变产生相当大的贡献，尤其是对于夸克恒星。在后一种情况下，诱导的相位差异将代表一个独特的工具来测量磁场的性质，提供原本难以量化的信息。
The evolution of the gravitational-wave phase in the signal produced by inspiralling binaries of compact stars is modified by the nonzero deformability of the two stars. Hence, the measurement of these corrections has the potential of providing important information on the equation of state of nuclear matter. Extensive work has been carried out over the last decade to quantify these corrections, but it has so far been restricted to stars with zero intrinsic magnetic fields. While the corrections introduced by the magnetic tension and magnetic pressure are expected to be subdominant, it is nevertheless useful to determine the precise conditions under which these corrections become important. To address this question, we have carried out a second-order perturbative analysis of the tidal deformability of magnetised compact stars under a variety of magnetic-field strengths and equations of state describing either neutron stars or quark stars. Overall, we find that magnetically induced corrections to the tidal deformability will produce changes in the gravitational-wave phase evolution that are unlikely to be detected for realistic magnetic field i.e., $B\sim 10^{10} - 10^{12}\,{\rm G}$. At the same time, if the magnetic field is unrealistically large, i.e., $B\sim 10^{16}\,{\rm G}$, these corrections would produce a sizeable contribution to the phase evolution, especially for quark stars. In the latter case, the induced phase differences would represent a unique tool to measure the properties of the magnetic fields, providing information that is otherwise hard to quantify.
