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We report exotic orbital phenomena of spinning test particles orbiting around a Kerr black hole, i.e., some orbits of spinning particles are asymmetrical about the equatorial plane. When a nonspinning test particle orbits around a Kerr…

General Relativity and Quantum Cosmology · Physics 2017-09-07 Wen-Biao Han , Shu-Cheng Yang

The Hamilton-Jacobi equation for test particles in the Kerr geometry is separable. Using action-angle variables, we establish several relations between various physical quantities that characterize bound timelike geodesic orbits around a…

General Relativity and Quantum Cosmology · Physics 2014-04-21 Alexandre Le Tiec

The classical model of spinning particle is analyzed in details in two versions - with single spinor and two spinors put on the trajectory. Equations of motion of the first version are easily solvable. The system with two spinors becomes…

Classical Physics · Physics 2019-09-17 Cezary J. Walczyk , Zbigniew Hasiewicz

The motion of spinning particles around compact objects, for example a rotating stellar object moving around a supermassive black hole, is described by differential equations that are, in general, non-integrable. In this work, we present a…

General Relativity and Quantum Cosmology · Physics 2023-02-27 Jose Miguel Ladino , Carlos Andrés del Valle , Eduard Larrañaga

We investigate the relativistic scattering of spinning black holes using modern amplitude methods within a heavy-mass effective field theory formalism at third post-Minkowskian order. Using a systematic self-force expansion up to first…

High Energy Physics - Theory · Physics 2026-03-05 N. Emil J. Bjerrum-Bohr , Gang Chen , Konstantinos Papadimos , Yuexiang Zhang

The Kerr-Newman solution has g=2 as that of the Dirac electron and is considered as a model of spinning particle in general relativity. The Kerr geometry changes cardinally our representations on the role of gravity in the particle physics.…

High Energy Physics - Theory · Physics 2007-05-23 Alexander Burinskii

We study the link between classical scattering of spinning black holes and quantum amplitudes for massive spin-$s$ particles. Generic spin orientations of the black holes are considered, allowing their spins to be deflected on par with…

High Energy Physics - Theory · Physics 2019-11-20 Alfredo Guevara , Alexander Ochirov , Justin Vines

A co-rotating bosonic field interacting with a spinning Kerr black hole can extract rotational energy and angular momentum from the hole. This intriguing phenomenon is known as superradiant scattering. As pointed out by Press and Teukolsky,…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Shahar Hod

Chandrasekhar separated the Dirac equation for spinning and massive particles in Kerr geometry into radial and angular parts. Here we solve the complete wave equation and find out how the Dirac wave scatters off Kerr black holes. The…

Astrophysics · Physics 2009-10-31 Sandip K. Chakrabarti , Banibrata Mukhopadhyay

Dirac equation is separable in curved space-time and its solution was found for both spherically and axially symmetric geometry. But most of the works were done without considering the charge of the black hole. Here we consider the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Banibrata Mukhopadhyay

The dynamics of a charged particle moving around a slowly rotating Kerr black hole in the presence of an external magnetic field is investigated. We are interested to explore the conditions under which the charged particle can escape from…

General Relativity and Quantum Cosmology · Physics 2014-12-12 Saqib Hussain , Ibrar Hussain , Mubasher Jamil

It is well known that some black holes can act as accelerators for particles without spin. Recently, there are some works considering collision of two spinning particles in the background of Schwarzschild and Kerr black holes and it was…

General Relativity and Quantum Cosmology · Physics 2016-12-21 Yu-Peng Zhang , Bao-Min Gu , Shao-Wen Wei , Jie Yang , Yu-Xiao Liu

We utilize generalized unitarity and recursion relations combined with effective field theory(EFT) techniques to compute spin dependent interaction terms for inspiralling binary systems in the post newtonian(PN) approximation. Using these…

High Energy Physics - Theory · Physics 2015-06-23 Varun Vaidya

We consider the motion of a spinning relativistic particle in external electromagnetic and gravitational fields, to first order in the external field, but to an arbitrary order in spin. The correct account for the spin influence on the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 I. B. Khriplovich , A. A. Pomeransky

An energy $E=\omega J$ is derived for gravitational spin-orbit coupling by frame-dragging $\omega$ acting on angular momentum $J$. This interaction defines a no-boundary mechanism for linear acceleration of magnetized matter along the axis…

Astrophysics · Physics 2007-05-23 Maurice H. P. M. van Putten

We study propagation of high-frequency electromagnetic and gravitational waves in the gravitational field of a rotating black hole. Due to the interaction of the spin of the field with the spacetime curvature, the standard geometric optics…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Valeri P. Frolov , Alex Koek

Scattering of particles in the gravitational field of Kerr black holes is considered. It is shown that scattering energy of particles in the centre of mass system can obtain very large values not only for extremal black holes but also for…

General Relativity and Quantum Cosmology · Physics 2011-02-01 A. A. Grib , Yu. V. Pavlov

The scattering of a straight, infinitely long string by a rotating black hole is considered. We assume that a string is moving with velocity v and that initially the string is parallel to the axis of rotation of the black hole. We…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Martin Snajdr , Valeri Frolov , Jean-Pierre DeVilliers

General relativity predicts that the Kerr black hole develops qualitatively new and surprising features in the limit of maximal spin. Most strikingly, the region of spacetime near the event horizon stretches into an infinitely long throat…

High Energy Physics - Theory · Physics 2019-12-17 Daniel Kapec , Alexandru Lupsasca

The Kerr solution is considered as a soliton-like background for spinning elementary particles. Two stringy structures may be found in the Kerr geometry, one string is real and another one is complex. The main attention in this paper is…

High Energy Physics - Theory · Physics 2016-09-06 Alexander Burinskii