Radiative transfer along rays in curved space–times

Radiative transfer along rays in curved space–times
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弯曲时空中沿射线的辐射传输

DOI:
10.1111/j.1745-3933.2005.00120.x
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发表时间:
2005
影响因子:
--
通讯作者:
A. Broderick
A. Broderick
中科院分区:
--
文献类型:
--
作者:
A. Broderick

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弯曲时空中的辐射传输对于理解高能天体物理现象和在强场极限下检验广义相对论变得越来越重要。辐射传递方程在物理上等同于玻尔兹曼方程,后者具有协变性的优点。我们表明,通过合理地选择相空间的基,通常可以使Boltzmann方程中的动量导数沿任意(包括非测地线)路径消失,从而将沿射线的辐射传递问题归结为坐标空间中的路径积分。
Radiative transfer in curved space–times has become increasingly important to understanding high-energy astrophysical phenomena and testing general relativity in the strong field limit. The equations of radiative transfer are physically equivalent to the Boltzmann equation, where the latter has the virtue of being covariant. We show that by a judicious choice of the basis of the phase space, it is generally possible to make the momentum derivatives in the Boltzmann equation vanish along an arbitrary (including non-geodesic) path, thus reducing the problem of radiative transfer along a ray to a path integral in coordinate space.