Mode coupling in the nonlinear response of black holes
Mode coupling in the nonlinear response of black holes
复制标题
黑洞非线性响应中的模式耦合
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
J. Winicour
中科院分区：
文献类型：
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作者：
Y. Zlochower;R. Gómez;S. Husa;L. Lehner;J. Winicour
研究了入射引力波激发非自旋黑洞时产生的出射引力波的性质。使用数值代码求解爱因斯坦方程的模拟允许研究从线性化近似扩展，其中系统被视为扰动史瓦西黑洞，完全非线性制度。发现了一些对引力波数据分析有重要意义的非线性特征。与线性化近似的结果相比，我们观察到大的相移，强于线性产生的引力波输出和相当大的产生辐射的偏振态中没有发现的线性化近似。根据球谐分解，谐波振幅的非线性性质具有简单的标度性质，这提供了一种经济的方式来编目在这样的黑洞过程中产生的波的细节。
We study the properties of the outgoing gravitational wave produced when a non-spinning black hole is excited by an ingoing gravitational wave. Simulations using a numerical code for solving Einstein’s equations allow the study to be extended from the linearized approximation, where the system is treated as a perturbed Schwarzschild black hole, to the fully nonlinear regime. Several nonlinear features are found which bear importance to the data analysis of gravitational waves. When compared to the results obtained in the linearized approximation, we observe large phase shifts, a stronger than linear generation of gravitational wave output and considerable generation of radiation in polarization states which are not found in the linearized approximation. In terms of a spherical harmonic decomposition, the nonlinear properties of the harmonic amplitudes have simple scaling properties which offer an economical way to catalog the details of the waves produced in such black hole processes.