I'm sorry but you are incorrect about flux. Flux lines have meaning only for static configurations (Nothing is moving). No kind of influence of fields travel at faster than the speed of light. It is the nature of relativity.
The influence of gravity no matter what theory you use cannot travel faster than the speed of light. That speed is intrinsic to the nature of space and time. Gravity waves that could happen from exploding nebula would reach us at the same time as the visible light. Hence both travel at the speed of light.
Did you think you were talking to a *****?
In newtonian mechanics, it is assumed that there is such a thing as a fixed and absolute reference frame and the gallilean transformation holds.
Of course, special relativity states that there is no such thing as an absolute reference frame. And general relativity takes into consideration accelerated reference frames. The conclusion, gravity is NOT flux. It is space-time curvature.
Which prompted the question -- is it gaussian flux or what?
You might want to read this:
http://en.wikipedia.org/wiki/Speed_of_gravity
Newtonian gravitation
Isaac Newton's formulation of a gravitational force law requires that each particle respond instantaneously to every other massive particle irrespective of the distance between them. In modern terms, Newtonian gravitation is described by the Poisson equation, according to which, when the mass distribution of a system changes, its gravitational field instantaneously adjusts. Therefore the theory requires the speed of gravity to be infinite.
http://wugrav.wustl.edu/people/CMW/SpeedofGravity.html
If we could measure the effects on the Shapiro delay to order (v/c)^2, then we could test the speed of gravity. But these effects would be at the thousandths of a picosecond level, hopelessly small.
The real way to measure the speed of gravity is to detect and study gravitational waves. By comparing the arrival of a gravitational-wave signal with that of an electromagnetic signal from an astrophysical source, one could compare the speed of gravity to that of light to parts in 10^(17).