An exact nonperturbative analysis of spinning particle motion in Schwarzschild spacetime reveals an impenetrable 'spin wall' that filters orbits based on spin, energy, and angular momentum.
Piovano,Particles with precessing spin in Kerr spacetime: Analytic solutions for eccentric orbits and homoclinic motion near the equatorial plane,Phys
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Quadratic-in-spin MPTD dynamics in type-D Einstein spacetimes with Killing–Yano symmetry admits five commuting first integrals—hence Liouville–Arnold integrability—only when the spin-induced quadrupole deformability parameter equals the black-hole value κ=1.
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.
Extended 1PA self-force waveforms for slowly spinning primary and precessing secondary, with re-summed 1PAT1R variant showing improved accuracy against NR for q ≳ 5 and |χ1| ≲ 0.1.
citing papers explorer
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Exact dynamics and the spin wall for large-spin particles in Schwarzschild spacetime
An exact nonperturbative analysis of spinning particle motion in Schwarzschild spacetime reveals an impenetrable 'spin wall' that filters orbits based on spin, energy, and angular momentum.
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Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown
Quadratic-in-spin MPTD dynamics in type-D Einstein spacetimes with Killing–Yano symmetry admits five commuting first integrals—hence Liouville–Arnold integrability—only when the spin-induced quadrupole deformability parameter equals the black-hole value κ=1.
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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.
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Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
Extended 1PA self-force waveforms for slowly spinning primary and precessing secondary, with re-summed 1PAT1R variant showing improved accuracy against NR for q ≳ 5 and |χ1| ≲ 0.1.