Geodesic and Path Motion in the Nonsymmetric Gravitational Theory

Details Geodesic and Path Motion in the Nonsymmetric Gravitational Theory Geodesic and Path Motion in the Nonsymmetric Gravitational Theory

1995-09-21

arxiv.org/abs/gr-qc/9509035v1

Gen.Rel.Grav.28:1221-1249,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, REVTeX 3.0 with amssymb.sty

Scientific paper

10.1007/BF02107382

We study the problem of test-particle motion in the Nonsymmetric Gravitational Theory (NGT) assuming the four-velocity of the particle is parallel-transported along the trajectory. The predicted motion is studied on a static, spherically symmetric background field, with particular attention paid to radial and circular motions. Interestingly, it is found that the proper time taken to travel between any two non-zero radial 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 alternate methods for coupling a test-particle to the antisymmetric components 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.

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