I'll go deeper with time in several concepts I'm starting to relate here, please be patient. I'm reading
Misner, Thorne and Wheeler's "Gravitation" with the objective in mind of making a summary in the first "Books" post, but for now, the content of
this post is an interpretation about I've already read and understood regarding geodesics.
Allow me to start with Einstein field equation -the "easy" one.
Sorry about using an image. I've tryed to use third parties LaTEX renderers, but no results. I'll improve my blogging skills in the future.
So, the equation states -for the moment-, there's a G thing, which corresponds to a T thing multiplied by a fancy constant. Well, these things are tensors, and they're pretty serious stuff because this simple equation gives us a partial diferential equation system, with 10 coupled equations. Too fast, too soon. You have to believe for the moment the G thing is were we are watching the curvature, while the T thing is a way to tell how energy is distributed. Energy distribution in space, by the way, is the responsible for that curvature.
But this post is about geodesics. Why I'm giving you all this crap?