A Kerr Metric: Removing Singularity via Coordinate Transformation

Arman777
Insights Author
Gold Member
Messages
2,163
Reaction score
191
We know that, the singularity of the Schwarzschild metric at ##r = 2M## can be removable via coordinate transformation to Kruskal-Szekers . Can we apply a similar argument to the Kerr metric? If so, what's the name of this coordinate system?
 
Physics news on Phys.org

Thread 'Is the variation of the metric ##\delta g_{\mu\nu}## a tensor?'

From $$0 = \delta(g^{\alpha\mu}g_{\mu\nu}) = g^{\alpha\mu} \delta g_{\mu\nu} + g_{\mu\nu} \delta g^{\alpha\mu}$$ we have $$g^{\alpha\mu} \delta g_{\mu\nu} = -g_{\mu\nu} \delta g^{\alpha\mu} \,\, . $$ Multiply both sides by ##g_{\alpha\beta}## to get $$\delta g_{\beta\nu} = -g_{\alpha\beta} g_{\mu\nu} \delta g^{\alpha\mu} \qquad(*)$$ (This is Dirac's eq. (26.9) in "GTR".) On the other hand, the variation ##\delta g^{\alpha\mu} = \bar{g}^{\alpha\mu} - g^{\alpha\mu}## should be a tensor...
View full post »

Thread 'I don't see how a black hole's event horizon can be crossed'

OK, so this has bugged me for a while about the equivalence principle and the black hole information paradox. If black holes "evaporate" via Hawking radiation, then they cannot exist forever. So, from my external perspective, watching the person fall in, they slow down, freeze, and redshift to "nothing," but never cross the event horizon. Does the equivalence principle say my perspective is valid? If it does, is it possible that that person really never crossed the event horizon? The...
View full post »

Similar threads

I Kruskal–Szekeres coordinates for Kerr metric
Replies
3
Views
3K
I Spacetime coordinate smoothness requirement
Replies
8
Views
1K
I Is a Gravitational Field Real or Just a Coordinate Transformation Artifact?
Replies
40
Views
4K
A Dirac's coordinates ##(\tau, \rho)## for the Schwarzschild metric with ##r \le 2m##
Replies
5
Views
773
A Continuation of Coordinates Across Black Hole Horizons
Replies
5
Views
2K
I Does Kerr's argument against singularities apply to all black holes?
Replies
12
Views
2K
I Kerr disputes singularities in Kerr Black Holes
Replies
7
Views
3K
A Do Black Holes have Singularities?
Replies
20
Views
2K
I Black hole and coordinate time from the perspective of Alice outside
Replies
26
Views
2K
I Coordinate singularity at Schwarzschild radius
2
Replies
57
Views
7K

Hot Threads

Recent Insights

Back
Top