Is there, in your equations, a field that is pushing gravitationally downwards and, at a same time, swirling around vertical axis in a cylindrical fashion?
@waitedavid137 can your warp drive solution solve this grass flattened in a circle in a clockwise fashion.
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The reason I am asking is because there is a relatively very large number of cases where UFOs hover in above the farmland, about 7m (21ft) above the ground, and when they leave these circles in the grass are left. What is unusual about circles is that grass is flattened in a uniform swirling clockwise (or anti-clockwise) pattern. This happens to the water, as well. There was a case in Australia where a farmer watched UFO hover few feet above a pond on his farm and water was swirling bellow the UFO.
Now, this pushing of grass down can not be explained electrodynamically, because, although grass makes a pretty good antenna because it is straight and conductive, grass is pointing upwards. For grass to start acting as an antenna it must already be laying flat and parallel to EM field.
This can be a good clue for the shape of UFO's warp field.