论文标题
根据多通间子约束，对R模式频率的相对论校正
Relativistic correction to the r-mode frequency in light of multi-messenger constraints
论文作者
论文摘要
旋转中子星的R模式振荡是连续重力波（GW）观测值的有希望的候选者。缓慢旋转的牛顿星的R模式频率是众所周知的，并且与状态方程式（EOS）无关，但是对于中子恒星，几种机制可以改变相对论校正在大多数中子星星中占主导地位且相关的R模式频率。对连续GW的最敏感的搜索是针对GW频率在靶向狭窄频率带中的已知脉冲星的搜索。在这项研究中，我们研究了几个最先进的多门限制对相对论，缓慢旋转的正压恒星的R模式频率的影响。对EOS施加了这些最新限制，我们发现与先前的研究相比，R模式频率范围略高，并且最有前途的候选人PSR J0537-6910的窄带频率范围可以增加8-25％，这取决于紧凑型的范围。我们还得出了R模式频率和无量纲潮汐变形性之间的普遍关系，可用于估计灵感信号期间R模式谐振激发的动态潮汐。这些结果可用于在重力波数据中构建用于R模式搜索的参数空间，并在成功的R模式检测后约束状态的核方程。
R-mode oscillations of rotating neutron stars are promising candidates for continuous gravitational wave (GW) observations. The r-mode frequencies for slowly rotating Newtonian stars are well-known and independent of the equation of state (EOS) but for neutron stars, several mechanisms can alter the r-mode frequency of which the relativistic correction is dominant and relevant for most of the neutron stars. The most sensitive searches for continuous GWs are those for known pulsars for which GW frequencies are in targeted narrow frequency bands of few Hz. In this study, we investigate the effect of several state-of-the-art multi-messenger constraints on the r-mode frequency for relativistic, slowly rotating, barotropic stars. Imposing these recent constraints on the EOS, we find that the r-mode frequency range is slightly higher from the previous study and the narrow band frequency range can increase upto 8-25% for the most promising candidate PSR J0537-6910 depending on the range of compactness. We also derive universal relations between r-mode frequency and dimensionless tidal deformability which can be used to estimate the dynamical tide of the r-mode resonant excitation during the inspiral signal. These results can be used to construct the parameter space for r-mode searches in gravitational wave data and also constrain the nuclear equation of state following a successful r-mode detection.
