English

Gravitomagnetic Helicity

General Relativity and Quantum Cosmology 2022-03-23 v3

Abstract

Mass currents in astrophysics generate gravitomagnetic fields of enormous complexity. Gravitomagnetic helicity, in direct analogy with magnetic helicity, is a measure of entwining of the gravitomagnetic field lines. We discuss gravitomagnetic helicity within the gravitoelectromagnetic (GEM) framework of linearized general relativity. Furthermore, we employ the spacetime curvature approach to GEM in order to determine the gravitomagnetic helicity for static observers in Kerr spacetime.

Keywords

Cite

@article{arxiv.2112.07550,
  title  = {Gravitomagnetic Helicity},
  author = {Donato Bini and Bahram Mashhoon and Yuri N. Obukhov},
  journal= {arXiv preprint arXiv:2112.07550},
  year   = {2022}
}

Comments

30 pages; v2: improved version to appear in Phys. Rev. D; v3: typos corrected

R2 v1 2026-06-24T08:17:07.379Z