Recent content by Jessie24789

I do intend on learning how to use SymPy, and actually started this entire journey with the Christoffel symbols by trying to learn it. I gave up and went for something simpler after seeing how much of a pain it would be to convert the output to GLSL code. I do however plan on going back to it...

I actually installed Maxima before Mathematica since I do not have $300 to spend on a math program, but I could not figure out how to use Maxima, due to exhaustion from bare sleeping the nights before, so I got the free trial of Mathematica. However, once the trial runs out I shall start using...

Thank you, I appreciate the assistance. I will implement those and let you know the results. I do have a question though. What did you use to calculate them? I want to know so I can calculate them in a similar, or even the same, way for other metrics, since I do need the Christoffel symbols for...

Kind of. It is this. f is Rs / r. I even tested it to make sure the equation is correct for the Schwarzschild metric in cartesian coordinates, well technically Kerr-Schild but that is just a cartesian coordinate system. I derived the metric from Reissner-Nordström in Kerr-Schild coordinates, as...

That is correct. My apologies for not making that clear in the original post.

I could not figure out how to edit the post, so I will say it here. I forgot to mention something, specifically that I tried multiplying the Christoffel symbols by 2 and that appears to fix it. But that multiply feels wrong.

I can assure you it is not a Kerr black hole. I am in the process of implementing the Christoffel symbols for a Kerr black hole, but that simulation is using the Schwarzschild metric for the spacetime and the symbols.

About a month or two ago I started doing simulations of light physics around black holes and yesterday I got a fast Christoffel symbols function for the Schwarzschild metric in cartesian coordinates, but now the photon ring appears flipped. I feel as though it is wrong. But as I am still pretty...