Newtons Universal law of gravity equations are an excellent approximation when dealing with low velocities (i.e., velocities whose magnitude is much smaller than the speed of light) and when dealing with weak gravity fields (such as those found on Earth or around low-mass stars). The approximation fails when you're dealing with speeds close to that of light, or gravity fields around black holes, at which point, you switch to general relativity. So to calculate gravity close to a black hole you have to use equations from general relativity. I tried finding these equations on google but I wasnt able to find any. Can somebody tell me the equations to find gravitational force near a black hole using general relativity?