J. Legare et Jw. Moffat, GEODESIC AND PATH MOTION IN THE NONSYMMETRIC GRAVITATIONAL THEORY, General relativity and gravitation, 28(10), 1996, pp. 1221-1249
We study the problem of test-particle motion in the Nonsymmetric Gravi
tational Theory (NGT) assuming the four-velocity of the particle is pa
rallel-transported along the trajectory. The predicted motion is studi
ed on a static, spherically symmetric background field, with particula
r attention paid to radial and circular motions. Interestingly, it is
found that the proper time taken to travel between any two non-zero ra
dial positions is finite. It is also found that circular orbits can be
supported at lower radii than in General Relativity for certain forms
of motion. We present three interactions which could be used as alter
nate methods for coupling a test-particle to the antisymmetric compone
nts of the NGT field. One of these takes the form of a Yukawa force in
the weak-field limit of a static, spherically symmetric field, which
could lead to interesting phenomenology.