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Gravitomagnetic effects in conformal gravity

Jackson Levi SaidPhysics Department, University of Malta, Msida MSD 2080, MaltaJoseph SultanaMathematics Department, University of Malta, Msida MSD 2080, MaltaKristian Zarb AdamiPhysics Department, University of Malta, Msida MSD 2080, Malta
2013en
ABI

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Gravitomagnetic effects are characterized by two phenomena: first, the geodetic effect which describes the precession of the spin of a gyroscope in a free orbit around a massive object, and second the Lense-Thirring effect which describes the precession of the orbital plane about a rotating source mass. We calculate both these effects in the fourth-order theory of conformal Weyl gravity for the test case of circular orbits. We show that for the geodetic effect a linear term arises which may be interesting for high radial orbits, whereas for the Lense-Thirring effect the additional term has a diminishing effect for most orbits. Circular orbits are also considered in general leading up to a generalization of Kepler's third law.

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