A Poincaré-covariant set of equations for a discrete relativistic rigid body that preserves six dynamical degrees of freedom and avoids Born rigidity's over-constraint.
Universality in Relativistic Spinning Particle Models
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abstract
We establish an equivalence between massive spinning particle models in four spacetime dimensions coupled to electromagnetism or gravity, within the spin-magnitude-preserving sector. Four representative models in the literature are shown to describe exactly the same physics in their free and interacting theories: vector oscillator, spinor oscillator, spherical top, and massive twistor. The Bargmann-Michel-Telegdi (BMT) and quadrupolar Mathisson-Papapetrou-Dixon (QMPD) equations are derived in a model-independent fashion. This universal framework allows for incorporating higher spin multipole interactions as well. We establish the rigorous construction of the interacting theory of the spherical top model with emphasis on spin gauge invariance. Applications to black hole physics, conserved charges, and post-Newtonian or post-Minkowskian frameworks are discussed.
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In the root-Kerr probe model, integrability holds to all spin orders at leading probe charge under Newman-Janis vertices but fails at spin-cubic order at second charge order and cannot be restored by further action deformation.
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Dynamics of a relativistic discrete body: rigidity conditions, and covariant equations of motion
A Poincaré-covariant set of equations for a discrete relativistic rigid body that preserves six dynamical degrees of freedom and avoids Born rigidity's over-constraint.
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On the integrability of root-Kerr probe dynamics
In the root-Kerr probe model, integrability holds to all spin orders at leading probe charge under Newman-Janis vertices but fails at spin-cubic order at second charge order and cannot be restored by further action deformation.