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The motion of classical spinning test particles in the equatorial plane of a Kerr black hole is considered for the case where the particle spin is perpendicular to the equatorial plane. We review some results of our recent research of the…

General Relativity and Quantum Cosmology · Physics 2016-05-16 O. Yu. Tsupko , G. S. Bisnovatyi-Kogan , P. I. Jefremov

In this paper we investigate the innermost stable circular orbit (ISCO) for a classical spinning test particle in the background of Kerr-Newman black hole. It is shown that the orbit of the spinning particle is related to the spin of the…

General Relativity and Quantum Cosmology · Physics 2018-05-02 Yu-Peng Zhang , Shao-Wen Wei , Wen-Di Guo , Tao-Tao Sui , Yu-Xiao Liu

The innermost stable circular orbit (ISCO) delimits the transition from circular orbits to those that plunge into a black hole. In the test-mass limit, well-defined ISCO conditions exist for the Kerr and Schwarzschild spacetimes. In the…

General Relativity and Quantum Cosmology · Physics 2011-01-25 Marc Favata

In this paper we investigate the innermost stable circular orbit (ISCO) of a spinning test particle moving in the rotating Maxwell-dilaton black hole spacetime. By using the Mathisson-Papapetrou-Dixon equations along with the Tulczyjew…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Carlos Conde , Cristian Galvis , Eduard Larrañaga

In this paper we study the effective gravitational potential of Schwarzschild, Kerr, Reissner-Nordstr\"om and Kerr-Newman black holes with the relativistic corrections to evaluate the circular orbits and the Innermost Stable Circular Orbits…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Eahsaan Nazir Najar , Raja Nisar Ali , Yasmeena Mushtaq , Imtiyaz Ahmad Bhat

Using the exact solution that describes multi-centered rotating black holes, recently discovered by Teo and Wan, we investigate the innermost stable circular orbit (ISCO) for massive particles and the circular orbit for massless particles…

General Relativity and Quantum Cosmology · Physics 2024-03-28 Eiki Kagohashi , Ryotaku Suzuki , Shinya Tomizawa

We present exact solutions of test particle orbits spiralling inward from the innermost stable circular orbit (ISCO) of a Kerr black hole. Our results are valid for any allowed value of the angular momentum $a$-parameter of the Kerr metric.…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Andrew Mummery , Steven Balbus

According to General Relativity, astrophysical black holes are described by a small number of parameters. Apart from the mass of the black hole (M), among the most interesting characteristics is the spin (a), which determines the degree of…

High Energy Astrophysical Phenomena · Physics 2024-05-14 Ondřej Kopáček , Vladimír Karas

We study stability of a circular orbit of a spinning test particle in a Kerr spacetime. We find that some of the circular orbits become unstable in the direction perpendicular to the equatorial plane, although the orbits are still stable in…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Shingo Suzuki , Kei-ichi Maeda

We consider circular particle motion under the action of an unspecified force in a static spherically symmetric spacetime. We derive the machinery that allows one to find the force acting on a circular particle and deduce whether its…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Hryhorii Ovcharenko , O. B. Zaslavskii

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

In this work, we investigate a universal upper bound on the radius of the innermost stable circular orbit (ISCOs) for massive particles in static, spherically symmetric, and asymptotically flat black hole spacetimes. By analyzing the…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Yiting Cen , Yong Song

We consider the behavior of the innermost stable circular orbit (ISCO) in the magnetic field near "dirty" (surrounded by matter) axially-symmetric black holes. The cases of near-extremal, extremal and nonextremal black holes are analyzed.…

General Relativity and Quantum Cosmology · Physics 2015-09-08 O. B. Zaslavskii

We investigate the innermost stable circular orbit (ISCO) of a test particle moving on the equatorial plane around rotating relativistic stars such as neutron stars. First, we derive approximate analytic formulas for the angular velocity…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Masaru Shibata , Misao Sasaki

We study analytically a black-hole-ring system which is composed of a stationary axisymmetric ring of particles in orbit around a perturbed Kerr black hole of mass $M$. In particular, we calculate the shift in the orbital frequency of the…

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

The innermost stable circular orbit (ISCO) of a test particle around a Schwarzschild black hole of mass $M$ has (areal) radius $r_{\rm isco}= 6M G/c^2$. If the particle is endowed with mass $\mu(\ll M)$, it experiences a gravitational…

General Relativity and Quantum Cosmology · Physics 2009-06-30 Leor Barack , Norichika Sago

Using the Mathisson-Papapetrou-Dixon equations together with the Tulczyjew spin-supplementary condition, we study the circular orbits of a spinning test particle moving in the equatorial plane of a quantum improved Rotating Black Hole (RBH)…

General Relativity and Quantum Cosmology · Physics 2023-02-24 Jose Miguel Ladino , Eduard Larrañaga

We study linear nonradial perturbations and stability of a marginal stable circular orbit (MSCO) such as the innermost stable circular orbit (ISCO) of a test particle in stationary axisymmetric spacetimes which possess a reflection symmetry…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Toshiaki Ono , Tomohito Suzuki , Hideki Asada

Astrophysical black holes are often embedded into electromagnetic fields, that can usually be treated as test fields not influencing the spacetime geometry. Here we analyse the innermost stable circular orbit (ISCO) of charged particles…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Jan P. Hackstein , Eva Hackmann

We study the innermost stable circular orbit (ISCO) of a spinning test particle moving in the vicinity of an axially symmetric rotating braneworld black hole (BH). We start with the description of the event horizon, static limit surface and…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Ulises Nucamendi , Ricardo Becerril , Pankaj Sheoran
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