Wikipedia says:

A wormhole (Einstein-Rosen bridge) is a hypothetical structure connecting disparate points in spacetime, and is based on a special solution of the Einstein field equations.

If a traversable wormhole existed, could its ends more relatively to each other in space? What would be the momentum of the energy-matter escaping from one end, in relation to the momentum of the energy-matter entering the other end?

Imagine there is a traversable wormhole, with two ends, A and B, each in a separate galaxy A* and B* where these ends do not move relative to its galaxy but the galaxies A* and B* are moving (through space) away from each other with speed v=1000 m/s. When I enter the end A with speed v=1 m/s, will I emerge from end B moving relatively to galaxy B* with speed v=1000 m/s or with speed v=1 m/s?

Can the same question be asked about white hole/black hole pair?

Wikipedia says:

A wormhole (Einstein-Rosen bridge) is a hypothetical structure connecting disparate points in spacetime, and is based on a special solution of the Einstein field equations.

If a traversable wormhole existed, could its ends move relatively to each other in space? What would be the momentum of the energy-matter escaping from one end, in relation to the momentum of the energy-matter entering the other end?

Imagine there is a traversable wormhole, with two ends, A and B, each in a separate galaxy A* and B* where these ends do not move relative to its galaxy but the galaxies A* and B* are moving (through space) away from each other with speed v=1000 m/s. When I enter the end A with speed v=1 m/s, will I emerge from end B moving relatively to galaxy B* with speed v=1000 m/s or with speed v=1 m/s?

Can the same question be asked about white hole/black hole pair?