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arXiv · 2401.14251

Quasi-local spin-angular momentum and the construction of axial vector fields

István Rácz
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Abstract

A novel procedure is presented which allows the construction of all axial vector fields on Riemannian two-spheres. Using these axial vector fields and the centre-of-mass unit sphere reference systems, a constructive definition of quasi-local spin-angular momentum is introduced. Balance relations are also derived, with respect to arbitrary Lie-propagated unit sphere reference systems, to characterize the angular momentum transports in spacetimes without symmetries.

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István Rácz. 2024-01-25. Quasi-local spin-angular momentum and the construction of axial vector fields. https://doi.org/10.1103/ys28-6k15

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