Noether gauge symmetries of geodesic motion in stationary and nonstatic G?del-type spacetimes

摘要

In this study, we obtain Noether gauge symmetries of geodesic motion for geodesic Lagrangian of stationary and nonstatic G?del-type spacetimes, and find the first integrals of corresponding spacetimes to derive a complete characterization of the geodesic motion. Using the obtained expressions for of each spacetimes, we explicitly integrate the geodesic equations of motion for the corresponding stationary and nonstatic G?del-type spacetimes.