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Related papers: Orbits in a non-Kerr Dynamical System

200 papers

We study the inner-most stable circular orbit(ISCO) of Kerr black hole in MOdified gravity(Kerr-MOG black hole) which is one of the exact solution of the field equation of modified gravity in strong gravity regime. Kerr-MOG black hole is…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Hyun-Chul Lee , Yong-Jin Han

This paper presents results for the innermost stable circular orbit in a Kerr-like spacetime. The metric employed is an approximation that combines the Kerr metric with the Erez-Rosen metric, expanded in a Taylor series. Consequently, this…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Fabián Chaverri-Miranda , Francisco Frutos-Alfaro , Diego Solano-Alfaro , Pedro Gómez-Ovares , André Oliva

We study the motion of charged test particles around a Kerr black hole immersed in the asymptotically uniform magnetic field, concluding that off-equatorial stable orbits are allowed in this system. Being interested in dynamical properties…

High Energy Astrophysical Phenomena · Physics 2016-08-14 Ondřej Kopáček , Jiří Kovář , Vladimír Karas , Zdeněk Stuchlík

There is a chance that the spacetime around massive compact objects which are expected to be black holes is not described by the Kerr metric, but by a metric which can be considered as a perturbation of the Kerr metric. These non-Kerr…

General Relativity and Quantum Cosmology · Physics 2014-09-09 Georgios Lukes-Gerakopoulos , George Contopoulos , Theocharis A. Apostolatos

It has been recently demonstrated that the orbital velocity profile around Kerr black holes in the equatorial plane as observed in the locally non-rotating frame exhibits a non-monotonic radial behaviour. We show here that this unexpected…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Andreas Mueller , Bernd Aschenbach

This paper gives a complete characterization of resonant orbits in a Kerr spacetime. A resonant orbit is defined as a geodesic for which the longitudinal and radial orbital frequencies are commensurate. Our analysis is based on expressing…

General Relativity and Quantum Cosmology · Physics 2015-04-08 Jeandrew Brink , Marisa Geyer , Tanja Hinderer

We study the order ten polynomial equation satisfied by the radius of the spherical timelike orbits for a massive particle with a generic energy around a Kerr black hole. Even though the radii of the prograde and retrograde orbits at the…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Aydin Tavlayan , Bayram Tekin

Regular rotating black holes are usually described by a metric of the Kerr-Schild form with a particular mass function that is chosen to avoid the ring singularity of the Kerr metric and which approaches the Kerr metric at the asymptotic…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Marcos L. W. Basso , Vilson T. Zanchin

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

Extreme-mass-ratio inspirals, in which a stellar-mass object orbits a supermassive black hole, are prime sources of millihertz gravitational waves for upcoming space-based detectors. While most studies assume idealized vacuum backgrounds,…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Kyriakos Destounis , Pedro G. S. Fernandes

We derive a stationary and axisymmetric black hole solution to quadratic order in the spin angular momentum. The previously found, linear-in-spin terms modify the odd-parity sector of the metric, while the new corrections appear in the…

General Relativity and Quantum Cosmology · Physics 2017-07-28 Kent Yagi , Nicolas Yunes , Takahiro Tanaka

We prove a key result regarding the mass and angular momentum content of linear vacuum perturbations of the Kerr metric obtained through the formalism developed by Chrzarnowski, Cohen, and Kegeles (CCK). More precisely we prove that the…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Maarten van de Meent

In this paper, we investigate the dynamics of a binary system that orbits a rotating supermassive black hole. Our approach employs Fermi-Walker transport to construct a local inertial reference frame, and to set up a Newtonian binary…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Kei-ichi Maeda , Priti Gupta , Hirotada Okawa

Gravitational-wave astronomy can give us access to the structure of black holes, potentially probing microscopic or even Planckian corrections at the horizon scale, as those predicted by some quantum-gravity models of exotic compact…

General Relativity and Quantum Cosmology · Physics 2017-12-07 Elisa Maggio , Paolo Pani , Valeria Ferrari

According to the no-hair theorem, astrophysical black holes are uniquely characterized by their masses and spins and are described by the Kerr metric. Several parametric deviations from the Kerr metric have been suggested to study…

General Relativity and Quantum Cosmology · Physics 2011-06-24 Tim Johannsen , Dimitrios Psaltis

The magnetorotational instability(MRI) in the Kerr spacetime is studied on a 3+1 viewpoint. The Maxwell's equations are expressed in a circularly orbiting observer's frame that co-rotates with matter in Keplerian orbits. There exist large…

Astrophysics · Physics 2009-11-10 M. Yokosawa , T. Inui

In this article, we investigate the bound orbits of the timelike particles and the gravitational waveforms emitted from these orbits around a renormalization group improved Kerr black hole in the framework of the asymptotic safety approach.…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Yong-Zhuang Li , Xiao-Mei Kuang

We study the dynamics and relativistic precessions of massive particles on spherical orbits around Kerr-MOG black holes in scalar-tensor-vector gravity (STVG). By employing the Hamilton-Jacobi formalism, we derive conserved quantities and…

General Relativity and Quantum Cosmology · Physics 2025-07-18 Hui-Min Wang

One of the most important geodesics in a black-hole spacetime is the marginally bound spherical orbit. This critical geodesic represents the innermost spherical orbit which is bound to the central black hole. The radii $r_{\text{mb}}({\bar…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Shahar Hod

The dynamical parameters conventionally used to specify the orbit of a test particle in Kerr spacetime are the energy $E$, the axial component of the angular momentum, $L_{z}$, and Carter's constant $Q$. These parameters are obtained by…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Wolfram Schmidt