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Quasilocal spin-angular momentum and the construction of axial vector fields

István Rácz*

  • *Contact author: racz.istvan@wigner.hu
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Phys. Rev. D 112, 064044 – Published 16 September, 2025

DOI: https://doi.org/10.1103/ys28-6k15

Abstract

A novel procedure is presented that allows the construction of all axial vector fields on Riemannian two-spheres. Using these axial vector fields and the center-of-mass unit sphere reference systems, a constructive definition of quasilocal 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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Phys. Rev. D 112, 064044– Published 16 September, 2025
  • Received 29 April 2025
  • Accepted 21 August 2025
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