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.

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

References in corpus (4)

• Lie and Noether symmetries of geodesic equations and collineations
• Symmetries of geodesic motion in Gödel-type spacetimes
• The lightcone of Gödel-like spacetimes
• Noether symmetries and isometries of the minimal surface Lagrangian under constant volume in a Riemannian space