Abstract
We discuss the relationship between the Noether point symmetries of the geodesic Lagrangian, in a (pseudo)Riemannian manifold, with the elements of the Homothetic algebra of the space. We observe that the classification problem of the Noether symmetries for the geodesic Lagrangian is equivalent with the classification of the Homothetic algebra of the space, which in the case of a Friedmann-Lemaître-Robertson-Walker spacetime is a well-known result in the literature.
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Acknowledgments
AP and KK acknowledge Prof. PGL Leach, Sivie Govinder, as also DUT for the hospitality provided and the UKNZ of South Africa for financial support. The work of AP was supported by FONDECYT postdoctoral grant no. 3160121. KK thanks the University Grants Commission for providing a UGC-Basic Scientific Research Fellowship to perform this research work.
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Paliathanasis, A., Krishnakumar, K. & Leach, P.G.L. Comment on “Classification of Cosmic Scale Factor via Noether Gauge Symmetries” [Int. J. Theor. Phys. 54, 2343 (2015)]. Int J Theor Phys 55, 2286–2289 (2016). https://doi.org/10.1007/s10773-015-2866-x
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DOI: https://doi.org/10.1007/s10773-015-2866-x