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Correspondence between sonic points of ideal photon gas accretion and photon spheres

Correspondence between sonic points of ideal photon gas accretion and photon spheres

In an accretion of fluid, its velocity may transit from subsonic to supersonic. The point at which such transition occurs is called sonic point and often mathematically special. We consider a steady-state and spherically symmetric accretion problem of ideal photon gas in general static spherically symmetric spacetime neglecting back reaction. …