静态时空轴对称扰动的通量积分

S. Chandrasekhar, V. Ferrari
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引用次数: 19

摘要

考虑了具有主导源(麦克斯韦场或完美流体)的静态时空轴对称微扰;并说明了如何从相关的线性化方程中直接导出通量积分。通量积分保证了伴随辐射的散射和有时伴随一种辐射转化为另一种辐射的能量守恒。为受扰动的爱因斯坦-麦克斯韦时空导出的通量积分在后一种情况下(如在两个极端Reissner-Nordström黑洞的辐射散射中)和散射矩阵的建立中将特别有用。在具有完美流体源的时空中导出的通量积分将直接适用于伴随引力辐射的恒星的非径向振荡问题,并使其作为散射理论中的问题得以重新表述。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The flux integral for axisymmetric perturbations of static space-times
The axisymmetric perturbations of static space-times with prevailing sources (a Maxwell field or a perfect fluid) are considered; and it is shown how a flux integral can be derived directly from the relevant linearized equations. The flux integral ensures the conservation of energy in the attendant scattering of radiation and the sometimes accompanying transformation of one kind of radiation into another. The flux integral derived for perturbed Einstein-Maxwell space-times will be particularly useful in this latter context (as in the scattering of radiation by two extreme Reissner-Nordström black-holes) and in the setting up of a scattering matrix. And the flux integral derived for a space-time with a perfect-fluid source will be directly applicable to the problem of the non-radial oscillations of a star with accompanying emission of gravitational radiation and enable its reformulation as a problem in scattering theory.
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