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In an accretion of fluid, its velocity may transit from subsonic tosupersonic. The point at which such transition occurs is called sonic point andoften mathematically special. We consider a steady-state and sphericallysymmetric accretion problem of ideal photon gas in general static sphericallysymmetric spacetime neglecting back reaction. Our main result is that the EOSof ideal photon gas leads to correspondence between its sonic point and thephoton sphere of the spacetime in general situations. Despite of the dependenceof the EOS on the dimension of spacetime, this correspondence holds forspacetimes of arbitrary dimensions.

The correspondence between sonic points of ideal photon gas accretion and photon spheres