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This study investigates photon orbits around Kerr-MOG black holes. The equation of photon of motion around the Kerr-MOG black hole is derived by solving the Hamilton-Jacobi equation, expressed as a sixth-order polynomial involving the…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Shi-Yu Li , Song-Shan Luo , Zhong-Wen Feng

We consider the motion of classical spinning test particles in Schwarzschild and Kerr metrics and investigate innermost stable circular orbits (ISCO). The main goal of this work is to find analytically the small-spin corrections for the…

General Relativity and Quantum Cosmology · Physics 2015-05-25 Paul I. Jefremov , Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan

We derive a general formula for the center-of-mass (CM) energy for the near-horizon collision of two particles of the same rest mass on the equatorial plane around a Kerr black hole. We then apply this formula to a particle which plunges…

General Relativity and Quantum Cosmology · Physics 2011-10-21 Tomohiro Harada , Masashi Kimura

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 compute the radiation emitted by a particle on the innermost stable circular orbit of a rapidly spinning black hole both (a) analytically, working to leading order in the deviation from extremality and (b) numerically, with a new…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Samuel E. Gralla , Achilleas P. Porfyriadis , Niels Warburton

We examine the evolution, under gravitational radiation reaction, of slightly eccentric equatorial orbits of point particles around Kerr black holes. Our method involves numerical integration of the Sasaki-Nakamura equation. It is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Daniel Kennefick

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

We study spherically symmetric magnetically charged generic black hole solutions of general relativity coupled to non-linear electrodynamics (NED). For characteristic values of the generic spacetime parameters we give the position of…

General Relativity and Quantum Cosmology · Physics 2019-10-01 Jaroslav Vrba , Ahmadjon Abdujabbarov , Arman Tursunov , Bobomurat Ahmedov , Zdeněk Stuchlík

We consider the perturbative, fully explicit, analytical behaviour of photon escape cones in the Kerr spacetime. When one conducts the fully general non-perturbative Kerr analysis, one quickly finds that one must at some point appeal to…

General Relativity and Quantum Cosmology · Physics 2024-04-18 Joshua Baines , Matt Visser

We consider the explicit analytic behaviour of photon escape cones in generic static spherically symmetric spacetimes, emphasizing the interplay between the physical spacetime metric and the optical metric, and the interplay between…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Joshua Baines , Matt Visser

Exact formulas relating the radii of the spherical photon orbits to the black hole's rotation parameter and the effective inclination angle of the orbit have been known only for equatorial and polar orbits up to now. Here we provide exact…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Aydin Tavlayan , Bayram Tekin

From any location outside the event horizon of a black hole there are an infinite number of trajectories for light to an observer. Each of these paths differ in the number of orbits revolved around the black hole and in their proximity to…

General Relativity and Quantum Cosmology · Physics 2021-07-12 Albert Sneppen

The possibility that rotating black holes could be natural particle accelerators has been subject of intense debate. While it appears that for extremal Kerr black holes arbitrarily high center of mass energies could be achieved, several…

General Relativity and Quantum Cosmology · Physics 2022-05-24 Stefano Liberati , Christian Pfeifer , José Javier Relancio

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

Simulated images of a black hole surrounded by optically thin emission typically display two main features: a central brightness depression and a narrow, bright "photon ring" consisting of strongly lensed images superposed on top of the…

High Energy Astrophysical Phenomena · Physics 2021-09-08 Andrew Chael , Michael D. Johnson , Alexandru Lupsasca

In this paper, we investigate the photon orbits around a Kerr-like black hole in Einstein-Bumblebee gravity, where Lorentz symmetry is spontaneously broken. By solving the Hamilton-Jacobi equation, we derive a sixth-order polynomial that…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Shi-Yu Li , Song-Shan Luo , Zhong-Wen Feng

Newtonian point mass binaries can be brought into arbitrarily close circular orbits. Neutron stars and black holes, however, are extended, relativistic objects. Both finite size and relativistic effects make very close orbits unstable, so…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Thomas W. Baumgarte

We investigate the photon sphere and the extremal stable circular orbit (ESCO) for massive particles over a recently proposed regular black holes with sub-Planckian curvature and Minkowskian core. We derive the effective potential for…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Wei Zeng , Yi Ling , Qing-Quan Jiang

We study the dynamics and escape of charged particles initially orbiting a weakly magnetized Kerr black hole after they get kicked in the direction normal to the orbit. The case of neutral particles is analysed first and the escape…

General Relativity and Quantum Cosmology · Physics 2014-10-17 A. M. Al Zahrani

We analyze the collisional Penrose process between a particle on the ISCO orbit around an extreme Kerr black hole and a particle impinging from infinity. We consider both cases with non-spinning and spinning particles. We evaluate the…

General Relativity and Quantum Cosmology · Physics 2020-01-22 Kazumasa Okabayashi , Kei-ichi Maeda