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The orbital evolution of binary black hole (BBH) systems is determined by the component masses and spins of the black holes and the governing gravity theory. Gravitational wave (GW) signals from the evolution of BBH orbits offer an…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Debtroy Das , Soumen Roy , Anand S. Sengupta , Cosimo Bambi

We study conservative finite-mass corrections to the motion of a particle in a bound (eccentric) strong-field orbit around a Schwarzschild black hole. We assume the particle's mass $\mu$ is much smaller than the black hole mass $M$, and…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Leor Barack , Norichika Sago

In a recent work, [Phys. Rev. D. 94, 104010 (2016)], hereafter Paper I, we have numerically studied different prescriptions for the dynamics of a spinning particle in circular motion around a Schwarzschild black hole. In the present work,…

General Relativity and Quantum Cosmology · Physics 2017-10-02 Georgios Lukes-Gerakopoulos , Enno Harms , Sebastiano Bernuzzi , Alessandro Nagar

Geodesic dynamics is regular in the fields of isolated stationary black holes. However, due to the presence of unstable periodic orbits, it easily becomes chaotic under various perturbations. Here we examine what amount of chaoticity is…

General Relativity and Quantum Cosmology · Physics 2012-11-20 O. Semerák , P. Suková

We investigate particle motion in the vicinity of a $4D$ Einstein-Gauss-Bonnet (EGB) black hole immersed in external asymptotically uniform magnetic field. It is well known that magnetic fields can strongly affect charged particle motion in…

General Relativity and Quantum Cosmology · Physics 2020-07-03 Sanjar Shaymatov , Jaroslav Vrba , Daniele Malafarina , Bobomurat Ahmedov , Zdeněk Stuchlík

Scalar-tensor-vector gravity, also known as modified gravity (MOG), has emerged as an alternative to General Relativity (GR). It aims to explain astrophysical phenomena without invoking dark matter. The S-stars orbiting the supermassive…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Ioannis Liodis , Gernot Heissel , Rita Mastroioanni , Jai Grover , Dario Izzo

We consider physical parameters of Levin and Perez-Giz's `periodic table of orbits' around the Schwarzschild black hole, where each periodic orbit is classified according to three integers $(z,w,v)$. In particular, we chart its distribution…

General Relativity and Quantum Cosmology · Physics 2024-01-26 Yen-Kheng Lim , Zhi Cheng Yeo

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 employ the recently proposed formalism of the "horizon wave-function" to investigate the emergence of a horizon in models of black holes as Bose-Einstein condensates of gravitons. We start from the Klein-Gordon equation for a massless…

High Energy Physics - Theory · Physics 2014-10-29 Roberto Casadio , Andrea Giugno , Octavian Micu , Alessio Orlandi

Based on the covariant hamiltonian formalism, we study the dynamics of spinning test bodies in the Kerr and Schwarzschild spacetimes. For the first time, we derive the exact solution of circular orbits in the Kerr plane without truncating…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Satish Kumar Saravanan

In this paper, we investigate the motion of spinning particles in the background of covariant loop quantum gravity black holes, focusing on two distinct effective metric solutions. Both metrics incorporate a quantum parameter $\zeta$, which…

General Relativity and Quantum Cosmology · Physics 2025-05-21 Yongbin Du , Yunlong Liu , Xiangdong Zhang

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

Both massless light ray and objects with nonzero mass experience trajectory bending in a gravitational field. In this work the bending of trajectories of massive objects in a Schwarzschild spacetime and the corresponding gravitational…

General Relativity and Quantum Cosmology · Physics 2016-09-02 Xionghui Liu , Nan Yang , Junji Jia

In this paper we study geodesic motion around a distorted Schwarzschild black hole. We consider both timelike and null geodesics which are confined to the black hole's equatorial plane. Such geodesics generically exist if the distortion…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Andrey A. Shoom , Cole Walsh , Ivan Booth

We investigate the dynamics of charged particles in the spacetime of a global monopole swallowed by a Reissner-Nordstr\"om (RN) black hole in the presence of an external, weak, asymptotically homogeneous magnetic field. We carefully analyze…

General Relativity and Quantum Cosmology · Physics 2025-09-01 Hamza M. Haddad , M. Haluk Seçuk , Özgür Delice

Circumambient and galactic-scale environments are intermittently present around black holes that reside in active galactic nuclei. As supermassive black holes impart energy on their host galaxy, so the galactic environment affects the…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Kyriakos Destounis , Arun Kulathingal , Kostas D. Kokkotas , Georgios O. Papadopoulos

We wish to study an application of Stueckelberg's relativistic quantum theory in the framework of general relativity. We study the form of the wave equation of a massive body in the presence of a Schwarzschild gravitational field. We treat…

General Relativity and Quantum Cosmology · Physics 2015-05-19 D. M. Ludwin , L. P. Horwitz

Recently, two independent calculations have been presented of finite-mass ("self-force") effects on the orbit of a point mass around a Schwarzschild black hole. While both computations are based on the standard mode-sum method, they differ…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Norichika Sago , Leor Barack , Steven Detweiler

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

In the present work, we aimed to investigate the dynamics of spinning charged and magnetized test particles around both electrically and magnetically charged quantum-improved black holes. We derive the equations of motion for charged…

General Relativity and Quantum Cosmology · Physics 2023-11-07 Jose Miguel Ladino , Carlos A. Benavides-Gallego , Eduard Larrañaga , Javlon Rayimbaev , Farrux Abdulxamidov