u/McAlkis

Looking at a derivation involving geodesiacs in GR, and one part of the calculation involves taking the derivative with respect to the coordinate x^α of the quantity F=g_αβ*x'^α*x'^β, which is defined in (5.11). How does one take this derivative and go from (5.13) to (5.14)? How do we end up with that last term? Why are the indices now μ and ν instead of α and β? g here isn't the Minkowski metric but a general one for curved spacetime.

I watched this when it first came out in cinema, and really enjoyed it. Since then I've come to wonder if this was only because of how surface level my knowledge of the Joker and Batman media was back then. Nowadays the movie has many things that stand out as flaws to me, the biggest of which is the fact that it really doesn't seem to have a reason to be called a Joker movie. I'm sure I'm not the first to point this out but it feels like if this movie was called anything else it would be a really stereotypical and shallow crazy person story, with any references to the Joker or Batman mythos awkwardly squeezed in to make the movie more relevant. I feel like the sequel has really soured people's views of this film, so what do you guys think?