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The effect of gyroscopic precession in Sen spacetime. (Chinese. English summary) Zbl 1202.83018

Summary: The effect of gyroscopic precession in Sen spacetime is investigated using the Frenet-Serret formalism, and general precession formulas for circular orbits with arbitrary constant angular speed are deduced. The precession angle on the equatorial plane and along circular geodesics can be obtained easily from the general formulas. The effect of gyroscopic precession in static dilaton spacetime is also studied as a special case. Comparing these results with those in the Kerr-Newman and Reissner-Nordström spacetime respectively, we find that dilaton coupling will decrease the effect of precession.

MSC:

83C10 Equations of motion in general relativity and gravitational theory
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