So are you saying that I should calculate the velocity time dilation separately and then solve the Earth's time dilation and multiply the two numbers?
But wouldn't that make the time extremely small because of the gravitational time dilation term?
If I were to try and calculate the time dilation of a moving object near or on the surface of the Earth, do I have to convert the velocity to Schwarzschild coordinates? If so, how would I go about doing that?
I have all the time in the world. I just want to make sure I get the Christoffel symbols right before I do the Riemann tensor calculation since getting non zero Ricci tensor would mean a lot of wasted time and I hate it when I get stuff wrong after working so hard for it :(
They should be zero. Sorry that part completely slipped my mind. But my overall goal remains the same nevertheless. I don't seem to be getting the correct Christoffels for some reason.
This is the third metric I'm solving and GR is very new to me so I apologize.
I needed some help with the Christoffel symbols for the Schwarzschild metric. I used the metric in wikipedia with signature (+---). For some reason, I get different Christoffel symbols when I use Mathimatica so I'm not sure if it's my calculations that are wrong or not. This isn't homework or...