Revisiting timelike geodesics in the Fisher-Janis-Newman-Winicour-Wyman spacetime

We investigate the timelike geodesics and periapsis precession of orbits in Fisher-Janis-Newman-Winicour-Wyman spacetime. This spacetime represents naked singularity Einstein-massless scalar system. revisit results previous studies relax assumptions about eccentricity a bound orbit size semilatus. find that negative occurs when sufficiently deviates from Schwarzschild In particular, for small eccentric orbits, we show $\gamma < 1/2$, where $\gamma$ is deviation parameter also obtain analytical solutions special cases $\gamma=0,1/2,1/4$. Then, never $\gamma=1/2$.