Black Hole Gravitational Lens: Bending Light & Mass

[Ashraf Siddiqui]

https://en.wikipedia.org/wiki/Gravitational_lens

I want to know about bending light property of a black hole. The bending angle formula

does not tell that r is perpendicular distance to light. Does a black hole
having mass M has different bending power than the body having the same mass M?
What about region around a black hole to bend a light ray? Can we use the above formula in this region?

 

[Nugatory]

The physics in the vacuum outside an ordinary spherically symmetric object of a given mass is the same as the physics in the vacuum outside of a black hole of the same mass. For example, the Earth's orbit would be unchanged if we replaced the sun with a one-solar-mass black hole, and the same is true of light deflection by the sun.

 

[Ashraf Siddiqui]

Thanks for your information. I am interested in deflection pattern of light by black hole. Is there any difference in the deflection angle
of light by black hole if :
r is the perpendicular distance from the black hole
& r is the angular distance from the black hole