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We analyze a rotating regular black hole spacetime with an asymptotically Minkowski core, focusing on extreme mass-ratio inspiral (EMRIs) where a stellar-mass object inspirals a supermassive black hole under consideration. Such spacetimes…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Shailesh Kumar , Tieguang Zi

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

We discuss motions of extended bodies in Kerr spacetime by using Mathisson-Papapetrou-Dixon equations. We firstly solve the conditions for circular orbits, and calculate the orbital frequency shift due to the mass quadrupoles. The results…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Wen-Biao Han , Ran Cheng

According to various models, the orbital and the epicyclic frequencies of particles moving on a circular orbit around compact objects are related to the quasi-periodic oscillations observed in the X-ray flux of some pulsars or black hole…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Kalin V. Staykov , Daniela D. Doneva , Stoytcho S. Yazadjiev

The gravitational waves and energy radiations from a spinning compact object with stellar mass in a circular orbit in the equatorial plane of a supermassive Kerr black hole are investigated in this paper. The effect how the spin acts on…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Wen-Biao Han

In this paper, we investigate the dynamics and gravitational-wave signatures of periodic orbits of spinning test particles moving in the equatorial plane around static, spherically symmetric black holes within the framework of Deser-Woodard…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Moisés Bravo-Gaete , Jianhui Lin , Yunlong Liu , Xiangdong Zhang

The orbital motion is derived for a non-spinning test-mass in the relativistic, gravitational field of a rotationally deformed body not restricted to the equatorial plane or spherical orbit. The gravitational field of the central body is…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Steven Hergt , Abhay Shah , Gerhard Schäfer

The motion of free nearby test particles relative to a stable equatorial circular geodesic orbit about a Kerr source is investigated. It is shown that the nonlinear generalized Jacobi equation can be transformed in this case to an…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Chicone , B. Mashhoon

We explore the properties of test-particle orbits in "bumpy" spacetimes - stationary, reflection-symmetric, asymptotically flat solutions of Einstein equations that have a non-Kerr (anomalous) higher-order multipole-moment structure but can…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan R Gair , Chao Li , Ilya Mandel

The dynamics of spinning test bodies, moving in rotating black hole (Kerr, Bardeen-like and Hayward-like) spacetimes, are investigated. In Kerr spacetime, all the spherical, zoom-whirl and unbound orbits are considered numerically. Along…

General Relativity and Quantum Cosmology · Physics 2022-02-10 Balázs Mikóczi , Zoltán Keresztes

The formation of energetic rings of matter in a Kerr spacetime with an outward pointing acceleration field does not appear to have previously been noted as a relativistic effect. In this paper we show that such rings are a gravimagneto…

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. P. Drake

In this article, we investigate the motion of a spinning particle at a constant inclination, different from the equatorial plane, around a Kerr black hole. We mainly explore the possibilities of stable circular orbits for different spin…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Sajal Mukherjee , Rajesh Kumble Nayak

A test particle possessing spin angular momentum moves along a non-geodesic path due to an additional spin-curvature force. We study the spinning test particle moving in the vicinity of the electrically charged black hole formation in…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Ke Yang , Bao-Min Gu , Yu-Peng Zhang

In this work we analyze some judiciously chosen solutions of Kerr Black Holes with Scalar Hair (KBHsSH) of special interest for Gravitational Wave (GW) events originated from Extreme Mass Ratio Inspirals (EMRIs). Because of the off-center…

General Relativity and Quantum Cosmology · Physics 2022-02-21 Lucas G. Collodel , Daniela D. Doneva , Stoytcho S. Yazadjiev

This short note serves as an introduction to gravitational radiation through reviewing the inspiral-plunge transition phase in extreme mass ratio binaries. We study the relativistic motion of a compact object (CO) of mass $m$ around a…

General Relativity and Quantum Cosmology · Physics 2019-08-20 Amir Jafari

We compute the energy spectra of the gravitational signals emitted when a pointlike mass moves on a closed orbit around a non rotating neutron star, inducing a perturbation of its gravitational field and its internal structure. The Einstein…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Gualtieri , E. Berti , J. A. Pons , G. Miniutti , V. Ferrari

The detection of gravitational waves from Extreme mass Ratio Inspirals (EMRIs) by the future space-based gravitational-wave detectors demands the generation of accurate enough waveform templates. Since the spin of the smaller secondary body…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Viktor Skoupý , Georgios Lukes-Gerakopoulos

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 inspiral of a ``small'' ($\mu \sim 1-100 M_\odot$) compact body into a ``large'' ($M \sim 10^{5-7} M_\odot$) black hole is a key source of gravitational radiation for the space-based gravitational-wave observatory LISA. The waves from…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Scott A. Hughes

We study the motion of spinning test particles in Kerr spacetime using the Mathisson-Papapetrou equations; we impose different supplementary conditions among the well known Corinaldesi-Papapetrou, Pirani and Tulczyjew's and analyze their…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Donato Bini , Fernando de Felice , Andrea Geralico
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