Noether symmetries of the minimal surface Lagrangian for G\"odel-type spacetimes

Abstract

We investigate the Noether symmetries of the minimal surface Lagrangian for four classes of metrics in G\"odel-type spacetimes. Then, calculating the Noether symmetries for all classes, namely, classes I, II, III and IV, we determine the conserved fields corresponding to each classes, allowing us to derive a comprehensive characterization of the minimal surface equations for G\"odel-type spacetimes.

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