> You're assuming the gravitational field can't permeate the wormhole. In your first scenario, the gravity well would extend out of the other side of the wormhole.
> A wormhole is in no way a gravitational discontinuity
A movable one certainly is, and a non movable one doesn't make any sense from a relativity point of view.
> Ellis Wormhole
Did you read your own link? "and there is no gravity"
There's a reason they say that. And there is no place in the universe without gravity. It's a mathematical solution, not a representation of the physical world.
> and a non movable one doesn't make any sense from a relativity point of view
Do you agree that you can't "leave the universe" in the sense of travelling past the information-propagation wavefront of the Big Bang—even in a case where our universe begins to shrink and that wavefront starts to come toward us?
If yes, then a non-movable wormhole can be justified exactly like that: it's part of that same wavefront—part of the topological outer surface of the universe, not an object "in" the universe.
Can you define what you mean here by discontinuity? I meant that the function of the gravitational field is continuous everywhere under the topology of the manifold, the mathematical definition. I see no discontinuity, but perhaps you're using a different definition?
The "no gravity" line there means the stress tensor is zero, and this is a so-called "vacuum solution." Essentially all closed form solutions to the field equations are vacuum solutions because it's almost impossible to write a closed form solution otherwise.
That would be even worse, I replied to the same thing here: https://news.ycombinator.com/item?id=12301858
> A wormhole is in no way a gravitational discontinuity
A movable one certainly is, and a non movable one doesn't make any sense from a relativity point of view.
> Ellis Wormhole
Did you read your own link? "and there is no gravity"
There's a reason they say that. And there is no place in the universe without gravity. It's a mathematical solution, not a representation of the physical world.