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Gravity/Antigravity Research

I am seeking information related to an alternate view of antigravity. Perhaps someone here has run into some related information somewhere and can help with information or links. So far, my own searches just keep turning up the same concepts.

Generally, antigravity theorists seem to believe that antigravity would have a repulsive property. In other words, whatever thing might have antigravity would accellerate away from normal matter. An alternative is that things with antigravity would repel everything else - normal gravity or antigravity.

That view, however, seems to contradict general relativity, in which gravity is seen as a distortion or curvature of spacetime. In the area near a star, for example, matter and energy follow paths governed by the distortion of spacetime and their own momentum.

Essentially, the concept I am researching is that gravity is an accumulated quantity. Adding more mass adds more gravity. So, if such a thing as negative mass existed, then it would subtract from gravity instead of multiplying it negatively. In that sense, it seems that instead of being directly repulsed, an antigravity "thing" might only experience a reduction in the distortion created by a larger mass.

In Newtonian terms, F = G * (m1 + m2)/R^2. m1 and m2 are summed. When m1 is much larger than m2 (think sun vs. asteroid), if the mass of the asteroid were negative, the resulting total gravitational force is still positive, and the two masses are still attracted, but just a little less than if the asteroid had normal mass.

The curvature of spacetime induced by the larger mass would only be partially offset by the smaller mass.

Artistic attempts to show the effect of gravity typically show a two-dimensional plane warped by a gravity source. The complementary view would have the antigravitational field warping the plane in the opposite direction. I can mentally understand the transformation from 2-d to 3-d, but how the 3-d is warped and how it could be warped differently might work mathematically, but not visually.

Does anyone know if and where I might find some reliable information? If you're going to tell me to look at the Einstein field equations, I'm already there.

*Depending on whom you ask, everything is relative.*