2022
DOI: 10.48550/arxiv.2205.14973
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Hidden symmetries from distortions of the conformal structure

N. Dimakis

Abstract: It is well established that the mass parameter breaks the conformal symmetries in the case of geodesic motion. The proper conformal Killing vectors cease to generate conserved charges when non-null geodesics are considered. We examine how the introduction of the mass is actually related to the appearance of appropriate distortions in the conformal sector, which lead to new conservation laws. As a prominent example we use a general pp-wave metric, which exploits this property to the maximum. We study the necess… Show more

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Cited by 1 publication
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“…It is straightforward to calculate the algebra of the charges D and K with the Carroll generators (4.8). Finally, we note that the form of (4.13) is similar to the distorted symmetries given in [45,46] and deserves a further analysis.…”
Section: Integrals Of Motion In Rotating Brinkmann Coordinatessupporting
confidence: 54%
“…It is straightforward to calculate the algebra of the charges D and K with the Carroll generators (4.8). Finally, we note that the form of (4.13) is similar to the distorted symmetries given in [45,46] and deserves a further analysis.…”
Section: Integrals Of Motion In Rotating Brinkmann Coordinatessupporting
confidence: 54%