Good stuff Schmelzer. There are two interpretations, which Kevin Brown mentions in The Formation and Growth of Black Holes. After reading Einstein talking about the speed of light varying with position, I conclude that the "other" interpretation is the correct one. That's what people say. But note that the force of gravity at any one location relates to the gradient in the coordinate speed of light at that location. If you dotted optical clocks throughout a slice through the Earth and the surrounding space, then plotted the clock rates, you'd be plotting out the Riemann curvature depiction above. However the coordinate speed of light at the event horizon is zero, and it can't go any lower than that. So there's no gradient in the coordinate speed of light. And so no force of gravity. The moot point that this just can't happen in a place where the coordinate speed of light is zero. There's no falling down, and there's no light moving to define those coordinates. It's a strange place all right. I don't think there's much of an issue with the GR spacetime interpretation myself. I think the issue is with "all coordinate systems are valid". IMHO people take this too far, and invent fantasy coordinate systems that just don't match Einstein's description of what a gravitational field is. Take a look at the picture below from MTW. On the left is a depiction of Schwarzschild coordinates. Most people take this for granted, but if you look closely, you'll appreciate that the vertical axis is the time axis, and that the infalling body goes to the end of time and back and is in two places at once. Hence Susskind's elephant, which I can confidently say is nonsense. Please Register or Log in to view the hidden image! The Kruskal-Szekeres coordinates on the right effectively do a hop skip and a jump over the end of time. They "use a new time coordinate" which effectively puts a stopped observer in front of a stopped clock and claims he sees it ticking normally in his own frame. IMHO this is a schoolboy error. I am reminded of the dead parrot sketch.