Noether symmetries of the minimal surface Lagrangian for G\"{o}del-type spacetimes
General Relativity and Quantum Cosmology
2025-12-04 v2
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.
Keywords
Cite
@article{arxiv.2312.09415,
title = {Noether symmetries of the minimal surface Lagrangian for G\"{o}del-type spacetimes},
author = {Ugur Camci},
journal= {arXiv preprint arXiv:2312.09415},
year = {2025}
}
Comments
18 pages, no figures, one table, submitted to Int.J.Geom.Meth.Modern Phys. arXiv admin note: text overlap with arXiv:1404.4270