https://doi.org/10.1140/epjc/s10052-022-10175-6
Regular Article - Theoretical Physics
Effective potentials and orbits in Weyl slender disk
1
Universidade Federal do Paraná, 85950-000, Palotina, PR, Brazil
2
Applied Physics Graduation Program, UNILA, 85867-670, Foz do Iguaçu, PR, Brazil
Received:
16
November
2021
Accepted:
28
February
2022
Published online:
24
March
2022
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 
. In the studied cases, our results suggest that such disruptions are caused mostly by their gravitational processes than baryonic content in accordance with 
CDM bottom-up hierarchy.
© The Author(s) 2022
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