This question was asked a few years ago, but I'm looking for more complete answers. And of course I recognize that any dilation effects would be extremely small. If a rocket is traveling at relativistic speeds, then certainly there is time dilation inside the rocket (from our frame on Earth). But what of the space surrounding the rocket?
- Is there any time dilation in the space surrounding the rocket? (I'm thinking only of time dilation caused by the speed and not the mass of the rocket.)
- Is there any warping of spacetime in that space outside of the rocket, and would there be any frame dragging?
- If the rocket is accelerating, then would it create gravitational waves in the space surrounding it and emanating outwards? (These waves could be a function of its mass, or its speed, or both).
- If the answer to the above two questions is "no", then is the boundary between slow time and fast time literally the outer wall of the rocket?