Perturbative evolution of particle orbits around Kerr black holes: time-domain calculation

Perturbative evolution of particle orbits around Kerr black holes: time-domain calculation
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克尔黑洞周围粒子轨道的微扰演化:时域计算

DOI:
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发表时间:
2003
期刊:
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通讯作者:
J. Pullin
J. Pullin
中科院分区:
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文献类型:
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作者:
Ramón López;G. Khanna;J. Pullin

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我们考虑一个质量可忽略的粒子绕克尔黑洞运行所产生的引力波问题。我们将时域上的Teukolsky微扰方程数值处理为2 + 1偏微分方程。我们通过使用窄高斯分布涂抹源项中的奇异点来建模粒子。我们已经能够重现赤道圆轨道的早期结果,这些结果是用频域公式计算出来的。然而,时域方法适用于更一般的演化,例如辐射反应作用下的近测地线轨道。
We consider the problem of the gravitational waves produced by a particle of negligible mass orbiting a Kerr black hole. We treat the Teukolsky perturbation equation in the time domain numerically as a 2 + 1 partial differential equation. We model the particle by smearing the singularities in the source term by the use of narrow Gaussian distributions. We have been able to reproduce earlier results for equatorial circular orbits that were computed using the frequency-domain formalism. The time-domain approach is however geared for a more general evolution, for instance of nearly geodesic orbits under the effects of radiation reaction.