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We mainly focus on the effects of small changes of parameters on the dynamics of charged particles around the Kerr black hole surrounded by an external magnetic field, which can be considered as a tidal environment. The radial motions of…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Xin Sun , Xin Wu , Yu Wang , Chen Deng , Baorong Liu , Enwei Liang

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

Conceptual climate models provide an approach to understanding climate processes through a mathematical analysis of an approximation to reality. Recently, these models have also provided interesting examples of nonsmooth dynamical systems.…

Dynamical Systems · Mathematics 2016-06-22 James Walsh , Esther Widiasih , Jonathan Hahn , Richard McGehee

One of the Holy Grails of observational astronomy is to confirm the prediction that black holes in the Universe are described by the Kerr solution of Einstein's field equations of general relativity. This Topical Collection provides a…

General Relativity and Quantum Cosmology · Physics 2019-11-05 Emanuele Berti

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

Gravitational wave radiation from periodic orbits in some standard regular black hole spacetimes is studied, primarily using known methods (numerical and analytic). We demonstrate specific differences with the singular Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Rishav Agrawal , Anjan Kar , Soumya Jana , Sayan Kar

In this paper, we continue our study of the motion of spinning test bodies orbiting Kerr black holes. Non-spinning test bodies follow geodesics of the spacetime in which they move. A test body's spin couples to the curvature of that…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Lisa V. Drummond , Scott A. Hughes

We classify orbits of stars that are bound to central black holes in galactic nuclei. The stars move under the combined gravitational influences of the black hole and the central star cluster. Within the sphere of influence of the black…

Astrophysics · Physics 2009-10-31 S. Sridhar , J. Touma

The notion of non-equatorial spherical photon orbits is among the very special properties of the Kerr spacetime of rotating black holes and is one that leaves a clear mark on the electromagnetic and gravitational wave signature of these…

General Relativity and Quantum Cosmology · Physics 2019-04-15 George Pappas , Kostas Glampedakis

In this paper, all possible orbits of test particles are investigated by using phase plane method in regular Hayward black hole space-time. Our results show that the time-like orbits are divided into four types: unstable circular orbits,…

General Relativity and Quantum Cosmology · Physics 2019-10-11 Jian-Ping Hu , Yu Zhang

We give a thorough description of the shape of rotating axisymmetric stable black-hole (apparent) horizons applicable in dynamical or stationary regimes. It is found that rotation manifests in the widening of their central regions…

General Relativity and Quantum Cosmology · Physics 2013-11-21 Martin Reiris , Maria Eugenia Gabach Clement

We study non-geodesic orbits of test particles endowed with a structure, assuming the Schwarzschild spacetime as background. We develop a formalism which allows one to recognize the geometrical characterization of those orbits in terms of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Fernando de Felice , Andrea Geralico

Stationary, asymptotically flat, black hole solutions of the vacuum field equations of General Relativity belong to the Kerr family. But how does one approach this state, dynamically? Linearized fluctuations decay at late times, at fixed…

Motivated by neutrino astronomy, we consider a plane wave of coupled and massive flavours, scattered by a static black hole, and describe analytically and numerically the corresponding oscillation probability in the surrounding space. Both…

High Energy Physics - Phenomenology · Physics 2018-08-15 Jean Alexandre , Katy Clough

We present analytical solutions describing a family of both inwardly and outwardly spiralling orbits in the Kerr spacetime. The solutions are exact, and remarkable for their simplicity. These orbits all have the angular momentum and energy…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Andrew Mummery , Steven Balbus

In general relativity without a cosmological constant, a classical theorem due to Hawking states that stationary black holes must be topologically spherical. This result is one of the several ingredients that collectively imply the…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Sourabh Nampalliwar , Arthur G. Suvorov , Kostas D. Kokkotas

The Kerr spacetime is symmetric with respect to a well-defined equatorial plane. When testing the equatorial reflection symmetry of an isolated black hole, one is at the same time testing the Kerr hypothesis in General Relativity. In this…

General Relativity and Quantum Cosmology · Physics 2024-09-23 Che-Yu Chen , Hung-Yi Pu

Gravitational wave astronomy has opened an unprecedented window onto tests of gravity and fundamental physics in the strong-field regime. In this study, we examine a series of well-motivated deviations from the classical Kerr solution of…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Zhe Zhao , Swarnim Shashank , Debtroy Das , Cosimo Bambi

We use the frequency and time domain Teukolsky formalism to calculate gravitational-wave fluxes from a spinning body on a bound eccentric equatorial orbit around a Kerr black hole. The spinning body is represented as a point particle…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Viktor Skoupý , Georgios Lukes-Gerakopoulos

We investigate gravitational wave emission from periodic timelike orbits of a test particle around a loop quantum gravity-inspired Schwarzschild black hole. The spacetime is characterised by a holonomy-correction parameter that modifies the…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Fazlay Ahmed , Qiang Wu , Sushant G Ghosh , Tao Zhu