Orac, you seem to be constantly harking back to your statement that a Born rigid object cannot exist if GR/SR are true. I accept that a Born rigid object supported by nuclear or electronic forces cannot exist but a black hole is not one of these.
On thinking about it further, I have now come up with a simple proof that a black hole is Born rigid without delving below the event horizon:
In Schwarzschild coordinates time has slowed down to a standstill at the event horizon of a non-rotating black hole. Consequently, no two points on the event horizon can move closer (or further) away from each other. This is almost a definition of Born rigidity.
The Kerr case would be more difficult; I must find time to look at this.
Anyway I must express my gratitude for making me think this through again.
Dave Proffitt