Note on the Kerr Spinning-Particle Equations of Motion

2025/12/29 by Joon-Hwi Kim, Kim, Joon-Hwi
Physics and Astronomy · #Pulsars and Gravitational Waves Research #Black Holes and Theoretical Physics #Astrophysical Phenomena and Observations

paper · doi:10.48550/arxiv.2512.23697

Abstract

We implement a probe counterpart of Newman-Janis algorithm, which Wick rotates the all-orders geodesic deviation equation into a part of exact spinning-particle equations of motion. Consequently, the gravitational dynamics of the Kerr black hole in its point-particle effective theory is completely constrained in the self-dual sector for a hidden symmetry, implying the spin exponentiation of same-helicity gravitational Compton amplitudes to all multiplicities.

Citations

• Geodesic deviation to all orders via a tangent bundle formalism
• Unexpected Symmetries of Kerr Black Hole Scattering
• Graviton scattering on self-dual black holes
• Searching for Kerr in string amplitudes
• Newman-Janis Algorithm from Taub-NUT Instantons
• An Exact Black Hole Scattering Amplitude
• Gluon scattering on the self-dual dyon
• Taub-NUT Instanton as the Self-dual Analog of Kerr
• Single Kerr-Schild Metric for Taub-NUT Instanton
• Black Hole Perturbation Theory Meets CFT₂: Kerr Compton Amplitudes from Nekrasov-Shatashvili Functions
• Dynamical Implications of the Kerr Multipole Moments for Spinning Black Holes
• Self Dual Black Holes as the Hydrogen Atom
• Asymptotic Spinspacetime
• Dynamical Tidal Response of Kerr Black Holes from Scattering Amplitudes
• Symplectic Perturbation Theory in Massive Ambitwistor Space: A Zig-Zag Theory of Massive Spinning Particles
• Scattering in Black Hole Backgrounds and Higher-Spin Amplitudes: Part II
• Searching for Kerr in the 2PM amplitude
• Scattering in Black Hole Backgrounds and Higher-Spin Amplitudes: Part I
• Scattering Amplitudes For All Masses and Spins
• Perturbative Gauge Theory as a String Theory in Twistor Space
• Symplectic geometry and the uniqueness of Grauert tubes
• Uniqueness of the Newman–Janis Algorithm in Generating the Kerr–Newman Metric
• Spinning test-particles in general relativity. I
• Complex structures on tangent bundles of Riemannian manifolds

Cited by

• Twisted Feynman Integrals: from generating functions to spin-resummed post-Minkowskian dynamics
• Geodesic deviation to all orders via a tangent bundle formalism

Related

• Analytic Solution for the Motion of Spinning Particles in Kerr Space-Time
• Spinning particles near Kerr black holes: Orbits and gravitational-wave fluxes through the Hamilton-Jacobi formalism
• Kerr Solution Consistent Motion of Spin Particles in the General Relativity
• Motion of spinning particles in the Kerr-Newman black hole exterior. I. Periodic orbits
• Spinning Particle as a Super Black Hole