On the equations governing the axisymmetric perturbations of the Kerr black hole
On the equations governing the axisymmetric perturbations of the Kerr black hole
复制标题
关于克尔黑洞轴对称扰动的方程
DOI：
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发表时间：
1975
期刊：
影响因子：
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通讯作者：
S. Detweiler
中科院分区：
文献类型：
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作者：
S. Chandrasekhar;S. Detweiler
它示出Teukolsky方程，管理的扰动的克尔黑洞，可以减少，在轴对称的情况下，一个一维的波动方程与四个可能的潜力。电位是隐含的，取决于频率;此外，取决于环境，它们可以是复杂的。在所有情况下（即，无论势是真实的还是复势），引力波通过势垒的反射和透射问题都可以用已知的守恒定律来表述。它是，进一步表明，所有四个潜在的导致相同的反射和传输系数。
It is shown how Teukolsky’s equation, governing the perturbations of the Kerr black hole, can be reduced, in the axisymmetric case, to a one-dimensional wave equation with four possible potentials. The potentials are implicitly, dependent on the frequency; and besides, depending on circumstances, they can be complex. In all cases (i.e. whether or not the potentials are real or complex), the problem of the reflexion and the transmission of gravitational waves by the potential barriers can be formulated, consistently, with the known conservation laws. It is, further, shown that all four potentials lead to the same reflexion and transmission coefficients.