Cover Image

Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ramond, Paul, Isoyama, Soichiro, Druart, Adrien
Format:	Preprint
Published:	2026
Subjects:	General Relativity and Quantum Cosmology Exactly Solvable and Integrable Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Symplectic mechanics of relativistic spinning compact bodies II.: Canonical formalism in the Schwarzschild spacetime
by: Ramond, Paul, et al.
Published: (2024)

On the integrability of extended test body dynamics around black holes
by: Ramond, Paul
Published: (2024)

Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods
by: Klein, Eddy B. de Leon. C., et al.
Published: (2025)

The General Structure of Trilinear Equations
by: Fukuyama, Takeshi
Published: (2026)

Visualisation of counter-rotating dust disks using ray tracing methods
by: de Leon, Eddy B., et al.
Published: (2024)

(3+1)-dimensional modified Kadomtsev-Petviashvili equation and its \bar{\partial}-formalism
by: Li, Yue, et al.
Published: (2025)

Fokas-Lenells equation dark soliton and gauge equivalent spin equation
by: Dutta, Riki, et al.
Published: (2023)

R-matrix for the XX spin chain in a staggered magnetic field
by: Bibikov, P. N.
Published: (2024)

The integrable hierarchy and the nonlinear Riemann-Hilbert problem associated with one typical Einstein-Weyl physico-geometric dispersionless system
by: Yi, Ge, et al.
Published: (2024)

Integer spin particles necessarily produce half-integer angular momentum in a simple complex and periodic Hamiltonian
by: Shinbrot, Troy
Published: (1995)

Dark states in an integrable XY central spin model
by: van Tonder, Jaco, et al.
Published: (2025)

Triangular solution to the planar elliptic three-body problem in the parametrized post-Newtonian formalism
by: Nakamura, Yuya, et al.
Published: (2023)

Systems of several first-order quadratic recursions whose evolution is easily ascertainable
by: Calogero, Francesco
Published: (2024)

Generalized discrete integrable operator and integrable hierarchy
by: Liu, Huan
Published: (2025)

Curvature atlas II: geometric classification of integrable rigid-body regimes
by: Mityushov, Evgeny A.
Published: (2025)

New analytic solutions in $f\left( R\right) $-Cosmology from Painlevé analysis
by: Leon, Genly, et al.
Published: (2022)

Axialgravisolitons at infinite corners
by: Manzoni, Federico
Published: (2024)

Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields
by: Xin, Zhirong, et al.
Published: (2024)

On the symmetry classification of integrable chains in 3D. Darboux-integrable reductions and their higher symmetries
by: Garifullin, R. N., et al.
Published: (2025)

First integrals for the Volterra chain
by: Belskiy, D. V.
Published: (2026)

Asymptotic integrability and its consequences
by: Kamchatnov, A. M.
Published: (2025)

On one typical Einstein-Weyl equation: inverse spectral transform for theCauchy problem, longtime behaviour of the solutions and implicit solutions
by: Yi, Ge, et al.
Published: (2025)

Liouville integrable Lotka-Volterra systems
by: van der Kamp, Peter H., et al.
Published: (2026)

Multidimensional integrable systems from contact geometry
by: Sergyeyev, A.
Published: (2025)

Discrete integrable equations with three independent variables
by: Habibullin, Ismagil T., et al.
Published: (2026)

Duality of Hamiltonian and Lagrangian formulations for integrable systems
by: Vergallo, Pierandrea, et al.
Published: (2026)

Bäcklund-Darboux Transformations for Super KdV Type Equations
by: Xue, Lingling, et al.
Published: (2024)

On integrable reductions of two-dimensional Toda-type lattices
by: Habibullin, I. T., et al.
Published: (2024)

On the complete integrability of space-time shifted nonlocal equations
by: Xia, Baoqiang
Published: (2024)

Algebraic quantisation approach to integrable differential-difference equations
by: Carpentier, Sylvain, et al.
Published: (2025)

Nonlocal Symmetries of Two 2-component Equations of Camassa-Holm Type
by: Li, Ziqi, et al.
Published: (2024)

Characteristic integrals and general solution of the Ferapontov-Shabat-Yamilov lattice
by: Demskoi, Dmitry K.
Published: (2024)

Subalgebras of integrals, commutants, and superintegrable deformations of Lotka-Volterra systems
by: Marquette, Ian, et al.
Published: (2026)

Lax pairs informed neural networks solving integrable systems
by: Pu, Juncai, et al.
Published: (2024)

On an integrable discretization of the massive Thirring model in non-characteristic coordinates
by: Tsuchida, Takayuki
Published: (2025)

Idempotent compatible maps and discrete integrable systems on the triangular lattice
by: Kassotakis, Pavlos, et al.
Published: (2025)

Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations
by: Euler, Marianna, et al.
Published: (2024)

Inverse scattering transform for continuous and discrete space-time shifted integrable equations
by: Ablowitz, Mark J., et al.
Published: (2023)

The N-species integrable Volterra system as a maximally superintegrable Hamiltonian system
by: Ragnisco, Orlando, et al.
Published: (2025)

From fully-nonlinear to semilinear evolution equations: two symmetry-integrable examples
by: Euler, Marianna, et al.
Published: (2025)