Some metrics admitting nonpolynomial first integrals of the geodesic equation
arXiv:2106.09335 · doi:10.1016/j.physletb.2021.136483
Abstract
It is commonly known that Killing vectors and tensors are in one-to-one correspondence with polynomial first integrals of the geodesic equation. In this work, metrics admitting nonpolynomial first integrals of the geodesic equation are constructed, each of which revealing a chain of generalised Killing vectors.
arXiv commentV2: 14 pages, minor improvements, the version to appear in PLB
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