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Related papers: On the integrability of root-Kerr probe dynamics

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The dynamics of charged particles moving around a Kerr-Newman black hole surrounded by cloud strings, quintessence and electromagnetic field is integrable due to the presence of a fourth constant of motion like the Carter constant. The…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Wenfu Cao , Wenfang Liu , Xin Wu

Motivated by the recent introduction of the Dirac bracket framework to compute spinning observables for the scattering of Kerr black holes, we initiate the study of conserved quantities from an on-shell amplitude perspective. We establish…

High Energy Physics - Theory · Physics 2026-05-08 Dogan Akpinar , Graham R. Brown , Riccardo Gonzo , Mao Zeng

We consider the motion of a charged spinning test/probe particle -- governed by the Mathisson-Papapetrou-Dixon equations with generic, adiabatic, and conservative spin- and field-induced multipole moments -- in a background…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Christopher de Firmian , Justin Vines

The equations of motion of massive test particles near Kerr black holes are separable in Boyer-Lindquist coordinates, as established by Carter. This separability, however, is lost when the particles are endowed with classical spin. We show…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Viktor Skoupý , Vojtěch Witzany

For non-spinning, charged (Reissner-Nordstr\"om) black holes, the particles with an opposite sign of charge with respect to that of the black hole will be pulled into the black hole by the extra electromagnetic force. Such a hole will be…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Yi Gong , Zhoujian Cao , He Gao , Bing Zhang

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…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Joon-Hwi Kim

The superradiant stability of a Kerr-Newman black hole and charged massive scalar perturbation is investigated. We treat the black hole as a background geometry and study the equation of motion of the scalar perturbation. From the radial…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Jun-Huai Xu , Zi-Han Zheng , Ming-Jian Luo , Jia-Hui Huang

This paper continues our work on black holes in the framework of the Regge calculus, where the discrete version (with a certain edge length scale $b$ proportional to the Planck scale) of the classical solution emerges as an optimal starting…

General Relativity and Quantum Cosmology · Physics 2023-12-29 V. M. Khatsymovsky

We examine the dynamics of a neutral particle around a Kerr-Newman black hole, and in particular focus on the effects of the charge of the spinning black hole on the motion of the particle. We first consider the innermost stable circular…

General Relativity and Quantum Cosmology · Physics 2017-11-15 Chen-Yu Liu , Da-Shin Lee , Chi-Yong Lin

We consider the force acting on a spinning charged test particle (probe particle) with the mass m and the charge q in slow rotating the Kerr-Newman-deSitter(KNdS) black hole with the mass M and the charge Q. We consider the case which the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Tetsuya Shiromizu , Uchida Gen

We study charged particle motion in weakly charged higher dimensional black holes. To describe the electromagnetic field we use a test field approximation and use the higher dimensional Kerr-NUT-(A)dS metric as a background geometry. It is…

High Energy Physics - Theory · Physics 2011-02-03 Valeri P. Frolov , Pavel Krtous

We establish the existence of a deformation of the usual Carter constant which is conserved along the motion in a fixed Kerr background of a spinning test body possessing the spin-induced quadrupole coupling of a black hole. The…

General Relativity and Quantum Cosmology · Physics 2023-12-06 Geoffrey Compère , Adrien Druart , Justin Vines

It has recently been pointed out that the spinning Kerr black hole with maximal spin could act as a particle collider with arbitrarily high center-of-mass energy. In this paper, we will extend the result to the charged spinning black hole,…

High Energy Physics - Theory · Physics 2010-11-19 Shao-Wen Wei , Yu-Xiao Liu , Heng Guo , Chun-E Fu

In Einstein-Maxwell theory, according to classic uniqueness theorems, the most general stationary black-hole solution is the axisymmetric Kerr-Newman metric, which is defined by three parameters: mass, spin and electric charge. The radial…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Paolo Pani , Emanuele Berti , Leonardo Gualtieri

We examine the behaviour of circular geodesics describing orbits of neutral test particles around an extreme Kerr-Newman black hole. It is well known that the radial Boyer-Lindquist coordinates of the prograde photon orbit $r=r_{\rm ph}$,…

General Relativity and Quantum Cosmology · Physics 2015-07-02 Sebastian Ulbricht , Reinhard Meinel

The Carter tensor is a Killing tensor of the Kerr-Newman spacetime, and its existence implies the separability of the wave equation. Nevertheless, the Carter operator is known to commute with the D'Alembertian only in the case of a…

General Relativity and Quantum Cosmology · Physics 2021-06-01 Elena Giorgi

The motion of a stellar compact object around a supermassive black hole can be approximated by the motion of a spinning test particle. The equations of motion describing such systems are in general non-integrable, and therefore, chaotic…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Georgios Lukes-Gerakopoulos

The observable gravitational and electromagnetic parameters of an electron: mass $m$, spin $J=\hbar/2$, charge $e$ and magnetic moment $ea = e\hbar /(2m)$ indicate unambiguously that the electron should had the Kerr-Newman background…

High Energy Physics - Theory · Physics 2012-02-13 Alexander Burinskii

With certain non-minimal coupling between a massless scalar field and the Gauss-Bonnet curvature invariant in the extended scalar-tensor-Gauss-Bonnet (ESTGB) field theory, tachyonic instability of Kerr-Newman (KN) black hole is promoted.…

General Relativity and Quantum Cosmology · Physics 2022-11-08 Ming Zhang , Jie Jiang

The motion of a spinning particle in the exterior of a Kerr-Newman black hole is studied. The dynamics is governed by the Mathisson-Papapetrou equations in the pole-dipole approximation, including the spin-curvature coupling to leading…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Yi-Ping Chen , Tien Hsieh , Da-Shin Lee
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