Effective potentials and orbits in Weyl slender disk

Abstract

By using geodesic equations to obtain a gravitational potential generated from an initially point-like source, we end up in the concept of a nearly Newtonian gravity to analyse effective potentials of quasi-circular orbits. By means of an approximate solution from an axially static and symmetric Weyl metric, we provide a numerical study on effective gravitational potential to investigate the character of motion in the meridional plane of an axially symmetric galaxy model obtaining periodic regular box orbits. Moreover, as a test for a toy model and using as initial condition a Plummer sphere, some initial prospects on star N-body simulation of cluster disruption were obtained for clusters with mass about 3times 10^4;M_{odot }. In the studied cases, our results suggest that such disruptions are caused mostly by their gravitational processes than baryonic content in accordance with varLambda CDM bottom-up hierarchy.