/sci/ - Science & Math

Can someone explain me how to "use" Einstein's gravity equations to make simple predictions or to get basic values?
I am guessing that one needs to work with the field equations.
For example, how can you get the acceleration experimented by a 1 kg object at rest on the surface of the earth?
Let's assume the Earth radius at that point is of 6370 kilometres. And Earth's mass to be 5.97E+24 kilograms.
When working with Newtonian gravity we could simply use the equation everyone knows:
[math]F=G{\frac {m_{1}m_{2}}{r^{2}}}[/math]

Note that this is no homework. I am simply want to know more about it. And I think that looking at how to solve a problem is a good approach to learning.