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For a particular type of {\bf k-}essence scalar field, the {\bf k-}essenceemergent gravity metric is exactly mapped on to the Barriola-Vilenkin (BV) typemetric for Schwarzschild background established by Gangopadhyay and Manna.Based on the S. Chandrasekhar, we report the exciting features of the time-likegeodesic structure in the presence of dark energy in an emergent gravityscenario for this Barriola-Vilenkin type metric. We trace the different kindsof trajectories for time-like geodesic in the presence of dark energy for the{\bf k-}essence emergent Barriola-Vilenkin spacetime, which is same as theSchwarzchild spacetime in view of the basic orientation, but the allowed rangesof the aphelion and perihelion distances are much more different. The bound andunbound orbits are plotted for a fixed value of the dark energy density.

Time-like geodesic structure for the K-essence Emergent Barriola-Vilenkin type spacetime