Revisiting the dynamics of a charged spinning body in curved spacetime
Year: 2025
Type: article
Abstract: We analyse the motion of the spinning body (in the pole–dipole approximation) in the gravitational and electromagnetic fields described by the Mathisson–Papapetrou–Dixon–Souriau equations. First, we define a novel spin condition for the body with the magnetic dipole moment proportional to spin, which generalizes the one proposed by Ohashi–Kyrian–Semerák for gravity. As a result, we get the whole family of charged spinning particle models in the curved spacetime with remarkably simple dynamics (momentum and velocity are parallel). Applying the reparametrization procedure, for a specific dipole moment, we obtain equations of motion with constant mass and gyromagnetic factor. Next, we show that these equations follow from an effective Hamiltonian formalism, previously interpreted as a classical model of the charged Dirac particle.
Source: Classical and Quantum Gravity
Author: K Andrzejewski
Institution: University of Łódź
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,325
OpenAlex ID: W4407172002