Equation-of-state insensitive relations after GW170817
Equation-of-state insensitive relations after GW170817
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DOI：
10.1103/physrevd.99.083016
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发表时间：
2019-03
影响因子：
5
通讯作者：
Zack Carson;K. Chatziioannou;C. Haster;Kent Yagi;N. Yunes
中科院分区：
文献类型：
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作者：
Zack Carson;K. Chatziioannou;C. Haster;Kent Yagi;N. Yunes
冷核上物质的压力和密度（即状态方程）之间的热力学关系对于描述中子星至关重要，但它仍然是核物理中最大的不确定性之一。从中子星双星（例如 GW170817）合并时发出的引力波中提取潮汐变形能力是探测这种热力学关系的一个很有前途的工具。单个潮汐变形能力的对称和反对称组合之间的状态方程不敏感关系，即所谓的“二元洛夫关系”，已被证明对于推断中子星的半径非常重要，从而从此类引力波中约束状态方程。惯性矩、潮汐可变形性、四极矩和中子星致密性之间的一组类似关系，即所谓的“I-Love-Q”和“C-Love”关系，允许未来在极端重力状态下测试广义相对论。但即使是这种关系中最不敏感的关系，仍然呈现出某种程度的状态方程可变性，这可能会在参数提取和模型选择中引入系统不确定性。我们在这里通过对允许的状态方程组施加先验，将这种变异性减少了 50% 以上，该先验是从 GW170817 分析生成的后验中得出的。由此产生的不敏感度的增加减少了从未来引力波观测中提取潮汐变形能力时的系统不确定性，尽管统计不确定性目前在误差预算中占主导地位，并将继续如此，直到航行者级探测器时代。
The thermodynamic relation between pressure and density (i.e. the equation of state) of cold supranuclear matter is critical in describing neutron stars, yet it remains one of the largest uncertainties in nuclear physics. The extraction of tidal deformabilities from the gravitational waves emitted in the coalescence of neutron star binaries, such as GW170817, is a promising tool to probe this thermodynamic relation. Equation-of-state insensitive relations between symmetric and antisymmetric combinations of individual tidal deformabilities, the so-called "binary Love relations", have proven important to infer the radius of neutron stars, and thus constrain the equation of state, from such gravitational waves. A similar set of relations between the moment of inertia, the tidal deformability, the quadrupole moment, and the compactness of neutron stars, the so-called `I-Love-Q' and `C-Love' relations, allow for future tests of General Relativity in the extreme gravity regime. But even the most insensitive of such relations still presents some degree of equation-of-state variability that could introduce systematic uncertainties in parameter extraction and in model selection. We here reduce this variability by more than 50% by imposing a prior on the allowed set of equations of state, derived from the posteriors generated from the analysis of GW170817. The resulting increase in insensitivity reduces systematic uncertainties in the extraction of the tidal deformability from future gravitational wave observations, although statistical uncertainties currently dominate the error budget, and will continue to do so until the era of Voyager-class detectors.