I understand that the Black Hole and the worm hole are solutions to Einstein's Field Equations. However, what does it mean by solution? I want to understand what it means by solution to the Field Equations. Can the solution be anything that forms a gravitational field? Can a solution in Einstein field equations be any kind of warped Space-Time? For instance the solution to this quadratic equation x^2-4x+3 = 0 is x=1,3 So what makes the Black Hole the solution to Field Equations? The Mechanical Understanding of the Equations is what I'm looking for.