Open Source Computer Algebra Systems.

So, I started to look for computer help. As an open source freak, I have found two different packages available: Maxima and Cadabra. This post is about impressions on both of them. Not sure yet what I am going to use yet, but my hopes go to Maxima in a first approach.

Schwarzschild metric (V).

Did you really think we were done with Schwarzschild metric? We have finally found that...
\begin{equation}
ds^2= \left ( 1- \frac{2GM}{c^2r}\right )c^2dt^2- \frac{dr^2}{\left( 1- \frac{2GM}{c^2r}\right)}-r^2(d\theta^2+sin^2\theta d\varphi^2)
\end{equation}
... so... Good for us.

But what does that mean? Why is it important? Why is it useful?

Schwarzschild metric (IV)

This Schwarzchild Schwarzschild topic is getting out of hand!

Just two more posts. In this one we are going to find the final form of the metric. Next one is about interpretations, conclusions and such, which turns out is a lot more faster than deriving the metric itself...

So, here we go again... Math ahead!

Schwarzschild metric (III): the search for simplification

Stubborn as I am, I'm not going to continue with the demonstration demostration until I completely understand why $C=D=1$. I'm not saying it's wrong. Just saying I don't understand why it's right... Yet.
Spoiler: I have found a way of understanding it. Not sure is correct, but it's good for me at the moment. Yes. I do believe too that I have overthought this too much.