Timelike geodesics around asymptotically flat regular black holes with phantom scalar hair show shifted circular orbits, ISCO locations, and perihelion precession corrections proportional to the scalar charge A that can be constrained by Solar System observations.
The qual- itative behavior of the trajectories is determined by the structure of the radial roots of the equation E2 −V 2(r) = 0,(68) which fixes the turning points
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Time Like Geodesics of Regular Black Holes with Scalar Hair
Timelike geodesics around asymptotically flat regular black holes with phantom scalar hair show shifted circular orbits, ISCO locations, and perihelion precession corrections proportional to the scalar charge A that can be constrained by Solar System observations.