Recent content by 23571113

I realize that it it will probably seem meaningless to obtain the components of Schwarzschild geometry without some differential geometry. However, as mentioned above I'm trying to learn this for a research project - I'm not endeavoring to self-study the material in order to gain complete...

I know what a velocity vector is (like plane old 2-D; the ones you learn about in pre-cal)... but I haven't taken vector calculus yet, and I have no idea about manifolds.

The link seems to be very informative: however right now the matrices, vectors, and tensors are completely greek to me, including equation 7.15. I have some limited exposure to the Schwarzschild metric, but nothing like this =D So is the process by which you obtain the curvature components...

Okay - here is my situation: I'm in 11th grade and I'm only now starting Single Variable Calculus, so I don't have the mathematical background to handle differential geometry. I'm trying to learn how to obtain the curvature components of Schwarzschild geometry in order to work on a research...

So obtaining those non-zero curvature components does in fact require tensors and differential geometry?

To make a long story short I'm suppose to be learning how to "obtain non-zero curvature components of Schwarzschild geometry". However, I'm not sure what all that entails (tensors? differential geometry?). So any advice on what level of math/physics will be needed would be great!