Conformally curved binary black hole initial data including tidal deformations and outgoing radiation

Conformally curved binary black hole initial data including tidal deformations and outgoing radiation
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共形弯曲的双黑洞初始数据,包括潮汐变形和出射辐射

DOI:
10.1103/physrevd.80.124039
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发表时间:
2009
期刊:
影响因子:
5
通讯作者:
B. Owen
B. Owen
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
N. Johnson;N. Yunes;W. Tichy;B. Owen

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通过渐近匹配的后牛顿(PN)的度量两个扰动史瓦西度量,我们产生近似的初始数据(在一个近似的4-度量的形式)的非旋转黑洞二进制在一个圆形轨道。我们通过O(v{sup 4})在双星的轨道速度v中进行这种匹配,因此得到的数据,就像O(v{sup 4})PN度量一样,是共形弯曲的。匹配过程还固定了四极和八极潮汐变形的孔,包括1 PN校正的四极场。远离洞,我们使用适当的PN度量,考虑到延迟,我们使用最高阶PN表达式来计算二进制的过去历史。因此,在整个时间片中,数据集的不受控制的延迟是O(v{sup 5});我们还生成对数据集的扩展,其在时间片的纯PN部分中具有O(v{sup 6})的不受控制的延迟(即,不要太靠近洞口)。这种扩展还包括各种其他容易获得的高阶项。这些项的增加减少了某些区域中的约束违反,即使它没有增加数据的形式准确性。得到的数据是平滑的,因为我们通过在它们之间平滑地插值来将所有的themore度量连接在一起。我们使用过渡函数进行插值,以避免引入过多的额外约束违反。由于它们包括潮汐变形和向外辐射,这些数据应大大减少在目前使用共形平坦的初始数据的模拟中观察到的初始杂散(“垃圾”)辐射的高频和低频分量。初始数据的非物理成分的这种减少对于模拟是必要的,以达到为高级LIGO和丽莎提供参数估计所需模板所需的精度。«少
By asymptotically matching a post-Newtonian (PN) metric to two perturbed Schwarzschild metrics, we generate approximate initial data (in the form of an approximate 4-metric) for a nonspinning black hole binary in a circular orbit. We carry out this matching through O(v{sup 4}) in the binary's orbital velocity v, and thus the resulting data, like the O(v{sup 4}) PN metric, are conformally curved. The matching procedure also fixes the quadrupole and octupole tidal deformations of the holes, including the 1PN corrections to the quadrupole fields. Far from the holes, we use the appropriate PN metric that accounts for retardation, which we construct using the highest-order PN expressions available to compute the binary's past history. The data set's uncontrolled remainders are thus O(v{sup 5}) throughout the time slice; we also generate an extension to the data set that has uncontrolled remainders of O(v{sup 6}) in the purely PN portion of the time slice (i.e., not too close to the holes). This extension also includes various other readily available higher-order terms. The addition of these terms decreases the constraint violations in certain regions, even though it does not increase the data's formal accuracy. The resulting data are smooth, since we join all themore » metrics together by smoothly interpolating between them. We perform this interpolation using transition functions constructed to avoid introducing excessive additional constraint violations. Because of their inclusion of tidal deformations and outgoing radiation, these data should substantially reduce both the high- and low-frequency components of the initial spurious ('junk') radiation observed in current simulations that use conformally flat initial data. Such reductions in the nonphysical components of the initial data will be necessary for simulations to achieve the accuracy required to supply Advanced LIGO and LISA with the templates necessary for parameter estimation.« less
DOI: 10.1103/physrevlett.98.091101
发表时间: 2006-10
影响因子: 8.6
作者:
José A. González;U. Sperhake;B. Brügmann;M. Hannam;S. Husa
通讯作者: José A. González;U. Sperhake;B. Brügmann;M. Hannam;S. Husa
DOI: 10.1103/physrevd.77.024027
发表时间: 2006-10
期刊: Physical Review D
影响因子: 5
作者:
B. Bruegmann;José A. González;M. Hannam;S. Husa;U. Sperhake;W. Tichy
通讯作者: B. Bruegmann;José A. González;M. Hannam;S. Husa;U. Sperhake;W. Tichy