Gravitomagnetic Helicity
Donato Bini, Bahram Mashhoon, Yuri N. Obukhov
TL;DR
This paper explores gravitomagnetic helicity, a measure of field line entwinement in gravitomagnetic fields, using linearized general relativity and Kerr spacetime to deepen understanding of mass current effects in astrophysics.
Contribution
It introduces the concept of gravitomagnetic helicity within the gravitoelectromagnetic framework and applies spacetime curvature methods to Kerr spacetime.
Findings
Gravitomagnetic helicity can be characterized in linearized general relativity.
The study computes gravitomagnetic helicity for static observers in Kerr spacetime.
Provides insights into the structure of gravitomagnetic fields in astrophysical contexts.
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.
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