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Physics
Special and General Relativity
Gravitational Field Transformations Under Boosted Velocity
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[QUOTE="Sciencemaster, post: 6865743, member: 684428"] Oh, I understand! That's a pretty good analogy! So, if I'm understanding correctly, the gravitational field can be interpreted as kind of a circular flat plane perpendicular to the direction of motion of an observer moving at lightspeed, where the observer will only feel a force if it is on this plane (which is where the delta function comes in). This can be seen in the celestial body's reference frame as the observer experiencing extreme time dilation as it flies by the body, and thus only experiencing the gravitational field for an instant before it either flies by or collides with the body, just like how an observer close to a black hole will experience the force from the black hole in very little proper time! I will note that the reason the fast moving observer experiences an impulsive force is due to its high velocity, and the reason for it happening in your black hole example is the extreme gravitational field, but the fact of the matter is that they can both be seen as time dilation in the object's frame, so the comparison is valid. One more question, is there such a boost for an observer that's not moving at lightspeed, or perhaps in a different metric (like the de Sitter metric)? If possible, I'd like to try and get an idea for how gravitational fields experience boosts when this special case isn't applicable, if at all possible. [/QUOTE]
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Gravitational Field Transformations Under Boosted Velocity
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