Autoparallel orbits in Kerr Brans-Dicke spacetimes

Details Autoparallel orbits in Kerr Brans-Dicke spacetimes Autoparallel orbits in Kerr Brans-Dicke spacetimes

2003-11-24

arxiv.org/abs/gr-qc/0311080v1

Int.J.Mod.Phys. D13 (2004) 137-148

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages. LATEX file. To appear in Int. J. Mod. Phys. D

Scientific paper

10.1142/S0218271804004487

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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