- #1
quickAndLucky
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- TL;DR Summary
- What are the mathematical constraints on the metric?
Aside from being symmetric, are there any other mathematical constraints on the metric?
Physical interpretation requires some other features
That’s clearly true for the sign of ##g_{00}##, but for the statement about the determinant?but that in no way requires the condition you impose on the particular components.
for the statement about the determinant?
I intended i,k=0,1,2,3. Thanks.He's welcome to correct me if I am wrong.
I intended i,k=0,1,2,3.
Now I know for an example in rotating system ##g_{00}<0## for region r > c / ##\omega## where no real body cannot stay still to represent coordinate (r,##\phi##). Thanks.