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We provide an exhaustive and illustrated classification of timelike and null geodesics in the near-horizon region of near-extremal Kerr black holes. The classification of polar motion extends to Kerr black holes of arbitrary spin. The…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Geoffrey Compère , Adrien Druart

We show that in four or more spacetime dimensions, the Einstein equations for gravitational perturbations of maximally symmetric vacuum black holes can be reduced to a single 2nd-order wave equation in a two-dimensional static spacetime for…

High Energy Physics - Theory · Physics 2009-11-10 Hideo Kodama , Akihiro Ishibashi

We consider the radial geodesic motion of a massive particle into a black hole in isotropic coordinates, which represents the exterior region of an Einstein-Rosen bridge (wormhole). The particle enters the interior region, which is regular…

General Relativity and Quantum Cosmology · Physics 2011-06-30 Nikodem J. Poplawski

A way to test electromagnetic field and spacetime properties around black holes is by considering the dynamics of test particles. In fact, in real astrophysical scenarios, it is hard to determine spacetime geometry which is dominating due…

General Relativity and Quantum Cosmology · Physics 2023-08-11 Farrux Abdulxamidov , Javlon Rayimbaev , Ahmadjon Abdujabbarov , Zdeněk Stuchlík

We investigate the particle motion around a Schwarzschild black hole immersed in a swirling Bertotti-Robinson-Bonnor-Melvin background. This spacetime provides a physically well-motivated framework for studying how the two different…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Wenbin Li , Yu-Qi Lei , Xian-Hui Ge

The innermost stable circular orbit (ISCO) of a test particle around a Schwarzschild black hole of mass $M$ has (areal) radius $r_{\rm isco}= 6M G/c^2$. If the particle is endowed with mass $\mu(\ll M)$, it experiences a gravitational…

General Relativity and Quantum Cosmology · Physics 2009-06-30 Leor Barack , Norichika Sago

We study linear perturbations around a static and spherically symmetric black hole solution in spatially covariant gravity with just two tensorial degrees of freedom. In this theory, gravity modification is characterized by a single…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Jin Saito , Tsutomu Kobayashi

In this paper, the quasinormal modes of gravitational perturbation around a Schwarzschild black hole surrounded by quintessence were evaluated by using the third-order WKB approximation. Due to the presence of quintessence, the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yu Zhang , Y X Gui

We study the particle motion in the space-time of a Kehagias-Sfetsos (KS) black hole. This is a static spherically symmetric solution of a Horava-Lifshitz gravity model that reduces to General Relativity in the IR limit and deviates…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Victor Enolskii , Betti Hartmann , Valeria Kagramanova , Jutta Kunz , Claus Laemmerzahl , Parinya Sirimachan

In this article we study the geodesic motion of test particles and light in the five-dimensional (rotating) black string spacetime. If a compact dimension is added to the four-dimensional Schwarzschild or Kerr spacetime, the new…

General Relativity and Quantum Cosmology · Physics 2013-11-20 Saskia Grunau , Bhavesh Khamesra

For a static and spherically symmetric black hole, a photon sphere is composed of circular null geodesics of fixed radius, and plays an important role in observing the black hole. Recently, in an Einstein-Maxwell-scalar model with a…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Guangzhou Guo , Peng Wang , Houwen Wu , Haitang Yang

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

The stability of geodesic orbits around a regular hairy black hole, in the gravitational decoupling setup, is investigated by employing Lyapunov exponents, which quantify the divergence rate of nearby trajectories in dynamical systems. Both…

General Relativity and Quantum Cosmology · Physics 2025-12-18 R. C. de Paiva , K. S. Alves , R. T. Cavalcanti , R. da Rocha

In this paper, we derive the solutions of orbit equations for a class of naked singularity spacetimes, and compare these with timelike orbits, that is, particle trajectories in the Schwarzschild black hole spacetime. The Schwarzschild and…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Parth Bambhaniya , Ashok B. Joshi , Dipanjan Dey , Pankaj S. Joshi

We have investigated the motion of timelike particles along geodesic in the background of accelerating and rotating black hole spacetime. We confirmed that the chaos exists in the geodesic motion of the particles by Poincar\'e sections, the…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Songbai Chen , Mingzhi Wang , Jiliang Jing

We study a non-uniformly rotating universe outside a Schwarzschild black hole by generating a time-dependent manifold of revolution around a straight line. In this simple model where layers of spherical shells of the universe non-uniformly…

General Relativity and Quantum Cosmology · Physics 2014-03-04 Vee-Liem Saw

We solve the geodesic deviation equations for the orbital motions in the Schwarzschild metric which are close to a circular orbit. It turns out that in this particular case the equations reduce to a linear system, which after…

General Relativity and Quantum Cosmology · Physics 2009-11-07 R. Kerner , J. W. van Holten , R. Colistete

A description of the event horizon of a perturbed Schwarzschild black hole is provided in terms of the intrinsic and extrinsic geometries of the null hypersurface. This description relies on a Gauss-Codazzi theory of null hypersurfaces…

General Relativity and Quantum Cosmology · Physics 2011-12-06 Ian Vega , Eric Poisson , Ryan Massey

A small mass \mu in orbit about a much more massive black hole M moves along a world line that deviates from a geodesic of the black hole geometry by O(\mu/M). This deviation is said to be caused by the gravitational self-force of the…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler

Equatorial circular geodesic orbits of neutral test particles in the exterior spacetime of a charged rotating disc of dust are analyzed in dependence of its specific charge and a relativity parameter. The charged rotating disc of dust is an…

General Relativity and Quantum Cosmology · Physics 2024-09-06 David Rumler