Div Curl: Black Hole Edge Explored

[rockyshephear]

What is the divergence and curl at the edge of a black hole?

 

[Vanadium 50]

Divergence and curl of what?

 

[rockyshephear]

Whatever black holes continually suck into themselves continually

 

[Rebel]

What is the divergence and curl at the edge of a black hole?

Did you tried to say something like " the linear momentum and angular momentum of a mass crossing the horizon of a BH"? For instance, divergence would be useful for studying if there are sources or sinks in a field (for a BH the divergence of the gravitational field is negative as usual).

 

[siyphsc]

the div and curl of most things at the edge of a black hole is nothing special, since this is the event horizon.

 

[Vanadium 50]

Div and curl operate on vector fields, not "whatevers". You need to specify what vector field for this even to be a question.

At the risk of sounding like a broken record, let me recommend Schey's Div, Grad, Curl and All That.

 

[maverick_starstrider]

Am I missing something? I really don't know anying about GR but to capture the black holeness wouldn't you have to work in 4-space. The cross product is not defined in 4 dimensions.

 

[siyphsc]

The cross product is not defined in 4 dimensions.

wedge product is the generalization of the cross product to higher dimensions:
http://en.wikipedia.org/wiki/Wedge_product