Rotating black holes (Kerr solution)

[Alpha001]

Hello,

 

the Kerr solution implies a few interesting effects, but I don't understand all of them completly. So I've some questions about the black holes:

 

1. The frame-dragging-effect implies the rotation (in directon of the black hole angular momentum) of every object in the ergosphere. But what about the conservation of angular momentum if the object has a angular momentum in the other direction as the black hole? Would the difference be taken by the black hole?

 

2. A object which passes the event horizon need a finite proper time for this. But a infinite far observer wouldn't see that the object passes the event horizon. But if the observer doesn't see this, would he be possible to recognize the increase of mass, charge and angular momentum of the black hole? With the increasing mass of the black hole also the Schwarzschildradius will increas, how can the observer interpret this?

 

3. The cauchy horizon, particularly the infinite blue shift and why the horizon becomes singular if a object passes him is not really understandable for me. Could anybody explain this mathematically horizon?

 

Thank you for your help

Alpha