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A rod shaped object 1m in diameter and 300m in length is moving through space at a velocity of .999994444429013c (picked that velocity arbitrarily for the 300:1 length contraction). The Lorentz factor is 300 for this problem. So the equation to figure length contraction is:

Δx'=Δx/300=Δ300/300=1

So, to a remote observer, the apparent length of the rod would be 1m. Assume the rod has sufficient density to exert a measurable gravitational field.

Question 1 - When the rod is at rest, would its gravitational field be non-spherical? (I already assume it would not be, the geometry of the field would be something akin to the shape of the rod itself I think assuming that the rod is of uniform density.)

Question 2 - When the rod is traveling at the velocity above so that it is subject to Lorentz contraction, would the remote observer, given proper equipment, detect the gravitational field as "rod shaped" or spherical (not truly spherical unless the rod was shaped in such a way that when subject to Lorentz contraction, the apparent shape was perfectly spherical.)

Or am I making incorrect assumptions about one part of this or another?