Noether symmetries of the minimal surface Lagrangian for Gödel-type spacetimes

Abstract

We investigate the Noether symmetries of the minimal surface Lagrangian for four classes of metrics in Gödel-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 Gödel-type spacetimes.

arXiv comment18 pages, no figures, one table, submitted to Int.J.Geom.Meth.Modern Phys. arXiv admin note: text overlap with arXiv:1404.4270

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