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In this work, we study circular motions of charged particles and their polarized images around the Kerr black hole immersed in a weak magnetic field. We pay special attention to the case that both the magnetic field and the charge-to-mass…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Tsai-Chen Lee , Zezhou Hu , Minyong Guo , Bin Chen

The aim of the paper is the consideration of particle collisions in the vicinity of the horizon of rotating black holes. Existence of geodesics for massive and massless particles arising from the region inside of the gravitational radius in…

General Relativity and Quantum Cosmology · Physics 2015-11-09 A. A. Grib , Yu. V. Pavlov

According to general relativity, an isolated black hole in vacuum shall be described by the Kerr metric, whose geodesic equations are integrable. The violation of integrability leads to chaos for particles moving around the black hole. This…

General Relativity and Quantum Cosmology · Physics 2023-09-18 Che-Yu Chen , Hsu-Wen Chiang , Avani Patel

In general relativity, the Kerr metric uniquely represents the geometry surrounding an isolated, rotating black hole. An identification of significant non-Kerr features in some astrophysical source would then provide a `smoking-gun' for the…

General Relativity and Quantum Cosmology · Physics 2020-08-07 Arthur G Suvorov

These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativity, collect material on the Einstein equations, the geometry of black hole spacetimes, and the analysis of fields on black hole backgrounds.…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Lars Andersson , Thomas Bäckdahl , Pieter Blue

We explore strong gravity effects of the geodesic motion in the spacetime of rotating black holes in general relativity and braneworld gravity. We focus on the description of the motion in terms of three fundamental frequencies: The orbital…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Alikram N. Aliev , Göksel Daylan Esmer , Pamir Talazan

Nowadays, the effect of infinite energy in the centre of mass frame due to near-horizon collisions attracts much attention.We show generality of the effect combining two seemingly completely different approaches based on properties of a…

General Relativity and Quantum Cosmology · Physics 2015-05-28 O. B. Zaslavskii

In this paper, we consider three types (static, static charged and rotating charged) of black holes in f(R) gravity. We study the thermodynamical behavior, stability conditions and phase transition of these black holes. It will be shown…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Saheb Soroushfar , Reza Saffari , Negin Kamvar

Rotating black holes are prevalent in astrophysical observations, and a Kerr-like solution that incorporates quantum gravity effects is essential for constructing realistic models. In this work, we analyze the geodesic motion of massive…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Zhiyang Guo , Chen Lan , Yan Liu

A spinning black hole with a much smaller black hole companion forms a fundamental gravitational system, like a colossal classical analog to an atom. In an appealing if imperfect analogy to atomic physics, this gravitational atom can be…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Janna Levin

In this work, we investigate the gravitational wave emission from the periodic orbital motion of a test particle around two specific types of black holes in Einstein-\AE{}ther theory, a modified gravity that locally breaks Lorentz symmetry…

General Relativity and Quantum Cosmology · Physics 2025-05-02 Shuo Lu , Tao Zhu

Quantum effects in general induce scale dependence in the coupling constants. We explore this possibility in gravity, with a scale-dependent Newton coupling. When applied to Kerr black holes with such a running coupling, the consistency of…

General Relativity and Quantum Cosmology · Physics 2026-02-19 Che-Yu Chen , Chiang-Mei Chen , Nobuyoshi Ohta

To investigate how chaos affects gravitational waves, we study the gravitational waves from a spinning test particle moving around a Kerr black hole, which is a typical chaotic system. To compare the result with those in non-chaotic…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kenta Kiuchi , Kei-ichi Maeda

We study the motion of charged particles in a family of five-dimensional solutions describing either a black hole or topological star with a fifth compact dimension stabilised by a magnetic flux. The particle's trajectory is shown to move…

General Relativity and Quantum Cosmology · Physics 2021-05-05 Yen-Kheng Lim

We study the geodesic motion of uncharged particles in the background of a magnetically charged Euler-Heisenberg black hole with a scalar hair. The spacetime can be asymptotically (A)dS or flat and we find, analysing the behavior of the…

General Relativity and Quantum Cosmology · Physics 2023-11-06 Thanasis Karakasis , George Koutsoumbas , Eleftherios Papantonopoulos

Motivated by novel results in the theory of wave dynamics in black-hole spacetimes, we analyze the dynamics of a massive scalar field surrounding a rapidly rotating Kerr black hole. In particular, we report on the existence of stationary…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Shahar Hod

Recently, in the series of works a new effect of acceleration of particles by black holes was found. Under certain conditions, the energy in the centre of mass frame can become infinitely large. The essential ingredient of such effect is…

General Relativity and Quantum Cosmology · Physics 2011-03-28 Oleg B. Zaslavskii

In the present paper, we consider a rotating black hole moving in a homogeneous massless scalar field. We assume that the field is weak and neglect its backreaction, so that the metric at far distance from the black hole is practically…

General Relativity and Quantum Cosmology · Physics 2024-01-05 Valeri Frolov

In this paper, we investigate a class of $5$-dimensional black holes in the presence of Gauss-Bonnet gravity with dyonic charges. At first step, thermodynamical quantities of the black holes and their behaviors are explored for different…

General Relativity and Quantum Cosmology · Physics 2018-02-20 S. Panahiyan , S. H. Hendi , N. Riazi

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