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Autoparallel orbits in Kerr Brans-Dicke spacetimes

H. Cebeci·T. Dereli·R. W. Tucker
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Abstract

The bounded orbital motion of a massive spinless test particle in the background of a Kerr Brans-Dicke geometry is analysed in terms of worldlines that are auto-parallels of different metric compatible spacetime connections. In one case the connection is that of Levi-Civita with zero-torsion. In the second case the connection has torsion determined by the gradient of the Brans-Dicke background scalar field. The calculations permit in principle to discriminate between these possibilities.

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H. Cebeci, T. Dereli, R. W. Tucker. 2003-11-24. Autoparallel orbits in Kerr Brans-Dicke spacetimes. https://doi.org/10.1142/s0218271804004487

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