Ok I understand that, but people are telling me that the metric is indeed flat when I am calculating that there is a 4/v^2 term when i do the calculation which implies it isn't. Could you possibly show how to perform the calculation to make sure I am doing it right? Thanks
I just used R(abcd) = K(g(ac)g(bd) - g(ad)g(cb)) which is the Riemann curvature tensor for 2D from wikipedia. I got all of the terms to cancel expect the 1/v^2 terms which added instead... This left me with 4/v^2 altogether. Does this mean it is not flat?
I have seen the equation but I don't think it is necessary to use it. Isn't there a more simple way? The curvature tensor has lots of terms and this is only for 2 dimensions. How would I calculate the christoffel symbols for this metric? Would I have to use the euler lagrange equations in the...
Hello everyone
1. Homework Statement
I have a homework question where I need to find out if the geometry is flat or not. The metric is shown below.
Homework Equations
The Attempt at a Solution
So far I have written the metric in the form guv but and I am trying to find coordinates in which...
Hello everyone,
I have a homework question for general relativity that is driving me nuts. It goes like this:
An observer falls from rest at radius 10GM in the spacetime of a black-hole of mass M (in natural units). What time does it take for them to travel from a radius of 6GM to 4GM...