Waveform model for an eccentric binary black hole based on the effective-one-body-numerical-relativity formalism

Waveform model for an eccentric binary black hole based on the effective-one-body-numerical-relativity formalism
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基于有效一体数值相对论形式的偏心双黑洞波形模型

DOI:
10.1103/physrevd.96.044028
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发表时间:
2017-08
期刊:
Physical Review D - Particles, Fields, Gravitation and Cosmology
影响因子:
--
通讯作者:
Wen-Biao Han
Wen-Biao Han
中科院分区:
其他
文献类型:
--
作者:
Zhoujian Cao;Wen-Biao Han

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双黑洞系统是引力波探测的最重要来源之一。它们也是广义相对论理论研究的好对象。重力波形模板是资料分析的重要工具。有效的单体数值相对论(EOBNR)模型在LIGO数据分析中发挥了重要作用。对于未来的天基引力波探测,许多双星系统将承认有点轨道偏心率。同时,偏心双星也是广义相对论中一个有趣的理论研究课题。在本文中,我们构建了第一个偏心二进制波形模型的基础上有效的一体数值相对论框架。我们在模型构建中的基本假设是所涉及的偏心率很小。我们比较了我们的偏心EOBNR模型中使用的LIGO数据分析的圆形。我们还测试了我们的偏心EOBNR模型对另一个最近提出的偏心二进制波形模型,对数值相对论模拟结果,并对扰动近似结果的极端质量比二进制系统。与偏心率约为0.2的数值相对论模拟相比,我们的偏心EOBNR模型的重叠因子优于0.98的所有测试情况下,包括无自旋二进制和自旋二进制,等质量的二进制,和不等质量的二进制。希望我们的偏心模型可以成为未来天基引力波探测器开发忠实模板的起点。
Binary black hole systems are among the most important sources for gravitational wave detection. They are also good objects for theoretical research for general relativity. A gravitational waveform template is important to data analysis. An effective-one-body-numerical-relativity (EOBNR) model has played an essential role in the LIGO data analysis. For future space-based gravitational wave detection, many binary systems will admit a somewhat orbit eccentricity. At the same time, the eccentric binary is also an interesting topic for theoretical study in general relativity. In this paper, we construct the first eccentric binary waveform model based on an effective-one-body-numerical-relativity framework. Our basic assumption in the model construction is that the involved eccentricity is small. We have compared our eccentric EOBNR model to the circular one used in the LIGO data analysis. We have also tested our eccentric EOBNR model against another recently proposed eccentric binary waveform model; against numerical relativity simulation results; and against perturbation approximation results for extreme mass ratio binary systems. Compared to numerical relativity simulations with an eccentricity as large as about 0.2, the overlap factor for our eccentric EOBNR model is better than 0.98 for all tested cases, including spinless binary and spinning binary, equal mass binary, and unequal mass binary. Hopefully, our eccentric model can be the starting point to develop a faithful template for future space-based gravitational wave detectors.
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