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

Published 15 Dec 2023 in gr-qc | (2312.09415v2)

Abstract: We investigate the Noether symmetries of the minimal surface Lagrangian for four classes of metrics in G\"{o}del-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\"{o}del-type spacetimes.

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References (1)

P. Marecki, On the wave equation in spacetimes of Gödel type, chapter in “Gödel type spacetimes: history and new developments”, Annals of the Kurt Gödel Society, ed. M. Scherfner and M. Plaue (2010); arXiv preprint gr-qc/0703018.

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Authors (1)

Ugur Camci

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