Recent content by joshyp93
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J
How do I determine whether this metric is flat or not?
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- joshyp93
- Post #6
- Forum: Advanced Physics Homework Help
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J
How do I determine whether this metric is flat or not?
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?- joshyp93
- Post #4
- Forum: Advanced Physics Homework Help
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J
How do I determine whether this metric is flat or not?
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...- joshyp93
- Post #3
- Forum: Advanced Physics Homework Help
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J
How do I determine whether this metric is flat or not?
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...- joshyp93
- Thread
- Flat Metric
- Replies: 5
- Forum: Advanced Physics Homework Help
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J
Calculating proper time falling toward a black hole
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...- joshyp93
- Thread
- Black hole Falling Hole Proper time Time
- Replies: 1
- Forum: Advanced Physics Homework Help