Revisiting the dynamics of a charged spinning body in curved spacetime
arXiv:2405.13784 · doi:10.1088/1361-6382/adb2d4
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.
arXiv comment21 pages, no figures; additional comments on the results and their interpretation, improvements in presentation and references
References in corpus (35)
- Black holes and the double copy
- Post-Newtonian corrections to the motion of spinning bodies in NRGR
- The classical double copy for Taub-NUT spacetime
- Perturbative spacetimes from Yang-Mills theory
- Hamiltonian of a spinning test-particle in curved spacetime
- Next to leading order spin-orbit effects in the motion of inspiralling compact binaries
- The Kerr-Schild double copy in curved spacetime
- Spinning particles in general relativity: Momentum-velocity relation for the Mathisson-Pirani spin condition
- Canonical Formulation of Spin in General Relativity
- Screw-symmetric gravitational waves: a double copy of the vortex
- Gravito-electromagnetic analogies
- Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries
- Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in General Relativity
- Hamilton-Jacobi equation for spinning particles near black holes
- Investigating spinning test particles: spin supplementary conditions and the Hamiltonian formalism
- Bobbing and Kicks in Electromagnetism and Gravity
- Classical Double Copy: Kerr-Schild-Kundt metrics from Yang-Mills Theory
- Spacetime dynamics of spinning particles - exact electromagnetic analogies
- Lagrangian formulation for Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations
- Hamiltonians and canonical coordinates for spinning particles in curved space-time
- Covariant hamiltonian spin dynamics in curved space-time
- Frenkel electron on an arbitrary electromagnetic background and magnetic Zitterbewegung
- Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations in ultra-relativistic regime and gravimagnetic moment
- Multipole particle in relativity
- On the motion of spinning test particles in plane gravitational waves
- Time parameterizations and spin supplementary conditions of the Mathisson-Papapetrou-Dixon equations
- Complete set of quasi-conserved quantities for spinning particles around Kerr
- Spinning test body orbiting around a Schwarzschild black hole: Comparing Spin Supplementary Conditions for Circular Equatorial Orbits
- Spinning bodies in curved space-time
- From polarized gravitational waves to analytically solvable electromagnetic beams
- Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields
- Scattering of Spinning Test Particles by Plane Gravitational and Electromagnetic Waves
- Effect of Particle Spin on Trajectory Deflection and Gravitational Lensing
- Spinning bodies in General Relativity
- Dixon-Souriau equations from a 5-dimensional spinning particle in a Kaluza-Klein framework