Tidal deformability of neutron stars with realistic equations of state
Tidal deformability of neutron stars with realistic equations of state
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DOI：
10.1103/physrevd.81.123016
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发表时间：
2009-11
期刊：
影响因子：
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通讯作者：
T. Hinderer;B. Lackey;R. Lang;J. Read
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文献类型：
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作者：
T. Hinderer;B. Lackey;R. Lang;J. Read
双中子星螺旋的引力波信号的早期部分可能会产生有关核状态方程的可靠信息。恒星内部结构对波形的影响由一个参数来表征：潮汐变形能力$\ensuremath{\lambda}$，它测量恒星响应伴星扰动潮汐场的四极变形。我们计算了各种状态方程的 $\ensuremath{\lambda}$ 并发现 $\ensuremath{\lambda}$ 的值跨越了所考虑的状态方程模型范围的一个数量级。通过对吸气早期的引力波观测来区分中子星状态方程的可行性分析表明，$\ensuremath{\lambda}$ 中的测量误差随着双星总质量的增加而急剧增加。将误差与 $\ensuremath{\lambda}$ 的预期范围进行比较，我们发现先进 LIGO 对 100 Mpc 距离处的双星观测只能探测异常僵硬的状态方程，而拟议的爱因斯坦望远镜可能会看到干净的潮汐特征。
The early part of the gravitational wave signal of binary neutron-star inspirals can potentially yield robust information on the nuclear equation of state. The influence of a star's internal structure on the waveform is characterized by a single parameter: the tidal deformability $\ensuremath{\lambda}$, which measures the star's quadrupole deformation in response to the companion's perturbing tidal field. We calculate $\ensuremath{\lambda}$ for a wide range of equations of state and find that the value of $\ensuremath{\lambda}$ spans an order of magnitude for the range of equation of state models considered. An analysis of the feasibility of discriminating between neutron-star equations of state with gravitational wave observations of the early part of the inspiral reveals that the measurement error in $\ensuremath{\lambda}$ increases steeply with the total mass of the binary. Comparing the errors with the expected range of $\ensuremath{\lambda}$, we find that Advanced LIGO observations of binaries at a distance of 100 Mpc will probe only unusually stiff equations of state, while the proposed Einstein Telescope is likely to see a clean tidal signature.