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Geodesics in the Gamma spacetime
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abstract
Circular and radial geodesics are studied in the spacetime described by the $\gamma$ metric. Their behaviour is compared with the spherically symmetric situation, bringing out the sensitivity of the trajectories to deviations from spherical symmetry.
Forward citations
Cited by 2 Pith papers
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Constraining quadrupole deformations with relativistic effects
In the Zipoy-Voorhees spacetime, the Shapiro time delay and the Shirokov oscillation frequencies acquire corrections from the quadrupole deformation parameter q, with the delay correction appearing at first order in q.
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Geodesic deviation in the $q$-metric
In the q-metric, tidal stretching and compression of radially falling test particles depend on the deformation parameter q and the polar angle θ, and differ from Schwarzschild near the singularity at r=2m.
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