Pencilvester's latest activity
-
Pencilvester replied to the thread Undergrad Is using r as a coordinate in Birkhoff's theorem a limitation?.I personally don’t doubt this either, but has this been proven anywhere? If so, I’d be interested to see the way or ways this can be... -
Pencilvester reacted to Dale's post in the thread Undergrad Is using r as a coordinate in Birkhoff's theorem a limitation? with
Like.
I think you are correct that such a manifold is excluded from Birkhoff’s theorem. However, I think it is not a problem with the theorem... -
Pencilvester reacted to Dale's post in the thread Undergrad Is using r as a coordinate in Birkhoff's theorem a limitation? with Like.
So you are thinking of manifolds where spacetime is foliated as a family of concentric spheres. But the size of those spheres, for...
-
Pencilvester replied to the thread Undergrad Is using r as a coordinate in Birkhoff's theorem a limitation?.Right, so doesn’t making ##r## a coordinate that ought to cover the spacetime restrict the number of possible spherically symmetric...
-
Pencilvester posted the thread Undergrad Is using r as a coordinate in Birkhoff's theorem a limitation? in Special and General Relativity.In Birkhoff’s theorem, doesn’t assuming we can use r (defined as circumference divided by ## 2 \pi ## for any given sphere) as a...