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对于一个围绕强引力场物体(例如黑洞)作开普勒运动的环状发光物,它所发射的光线要受多普勒频移,引力红移和光线偏折等效应的作用,这种作用决定了远处观察者所看到的谱线轮廓,本文利用光子输运方程方法,求出在Schwarzschild度规中的开普勒环所发射的谱线的轮廓的精确解。The light emitted from a Keplerian ring around the objects with strong gravitational field should be affected by Doppler shift, gravitational redshift and deflection of light. The line profiles for a faraway observer are dominated by these effects. In this paper the precise solutions of line profiles for the Keplerian rings in the Schwarz-schild case have been obtained by means of the kinetic equation for photons.
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