Consider a 4-coordinate system x=(x^0,x^1,x^2,x^3), x^0 plays a role of time, x^1, x^2, x^3 are some kind of space coordinates. In what follows greek letters will be 1,2 or 3, latin will be 0,1,2,3, c = 1, proper time squared ds^2 = g_{ik}(x) dx^{i} dx^{k}.
Now, if the body is "at rest" we...