Quasispherical approximation for rotating black holes

Quasispherical approximation for rotating black holes
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旋转黑洞的准球近似

DOI:
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发表时间:
2000
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影响因子:
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通讯作者:
S. Hayward
S. Hayward
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作者:
H. Shinkai;S. Hayward

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宾夕法尼亚州立大学,宾夕法尼亚州立大学,大学公园,邮编:16802-6300,美国宾夕法尼亚州立大学,104Davey实验室。(2000年10月9日,修订版GR-QC/0008075)我们数值地实现了一种准球形近似方案,用于计算聚合黑洞的引力波形,并通过将其应用于Kerrer黑洞来测试它与角动量的关系。作为误差测量,我们采用了杂散引力辐射引起的共形应变和特殊的fic能量。这种应变被发现是单调的,而不是波状的。对于接近r=3m的初始表面,对于角动量达到最大值的至少70%,fi谱能量至少比从典型黑洞碰撞中预期的1%水平小一个数量级。PACS编号:04.25.-g,04.25.Dm,04.70.Bw,04.20.Ha,04.30。-w预印本编号:GR-QC/0008075,CGPG-00/8-1I。引言
shinkai@gravity.phys.psu.edu, hayward@gravity.phys.psu.eduCentre for Gravitational Physics and Geometry, 104 Davey Laboratory, The Pennsylvania State University,University Park, PA 16802-6300, U.S.A.(October 9, 2000 revised version gr-qc/0008075)We numerically implement a quasi-spherical approximation scheme for computing gravitationalwaveforms for coalescing black holes, testing it against angular momentum by applying it to Kerrblack holes. As error measures, we take the conformal strain and specific energy due to spuriousgravitational radiation. The strain is found to be monotonic rather than wavelike. The specificenergy is found to be at least an order of magnitude smaller than the 1% level expected from typicalblack-hole collisions, for angular momentum up to at least 70% of the maximum, for an initialsurface as close as r = 3m.PACS numbers: 04.25.-g, 04.25.Dm, 04.70.Bw, 04.20.Ha, 04.30.-wPreprint numbers: gr-qc/0008075, CGPG-00/8-1I. INTRODUCTION