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.
Geodesics and Geodesic Deviation in static Charged Black Holes
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The radial motion along null geodesics in static charged black hole space-times, in particular, the Reissner-Nordstr\"om and stringy charged black holes are studied. We analyzed the properties of the effective potential. The circular photon orbits in these space-times are investigated. We found that the radius of circular photon orbits in both charged black holes are different and differ from that given in Schwarzschild space-time. We studied the physical effects of the gravitational field between two test particles in stringy charged black hole and compared the results with that given in Schwarzschild and Reissner-Nordstr\"om black holes.
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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.