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Related papers: Circular Geodesics in Tidal Charged Black Hole

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After the discovery of gravitational waves from binary black holes (BBHs) and binary neutron stars (BNSs) with the LIGO and Virgo detectors, neutron-star--black-holes (NSBHs) are the natural next class of binary systems to be observed. In…

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

The Hamilton-Jacobi equation for test particles in the Kerr geometry is separable. Using action-angle variables, we establish several relations between various physical quantities that characterize bound timelike geodesic orbits around a…

General Relativity and Quantum Cosmology · Physics 2014-04-21 Alexandre Le Tiec

In this work, we investigate the dynamics of periodic orbits and the properties of accretion disks around a Schwarzschild-like black hole (BH) immersed in a King-type dark matter (DM) halo. Our analysis focuses on how the presence of the…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Javokhir Sharipov , Tursunali Xamidov , Qiang Wu , Sanjar Shaymatov , Tao Zhu

The spin-curvature coupling in the Mathisson-Papapetrou-Dixon (MPD) formalism induces non-geodesic motion, shifting the orbital parameters of spinning test particles in black hole spacetimes. We investigate whether these quantitative shifts…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Yong Song , Jiaqi Fu , Yiting Cen

A new class of analytic charged spherically symmetric black hole solutions, which behave asymptotically as flat or (A)dS spacetimes, is derived for specific classes of $f(R)$ gravity, i.e., $f(R)=R-2\alpha\sqrt{R}$ and…

General Relativity and Quantum Cosmology · Physics 2019-07-18 Gamal G. L. Nashed , Salvatore Capozziello

The motion of particles on spherical $1 + 3$ dimensional spacetimes can, under some assumptions, be described by the curves on a 2-dimensional manifold, the optical and Jacobi manifolds for null and timelike curves, respectively. In this…

General Relativity and Quantum Cosmology · Physics 2022-08-01 Pedro V. P. Cunha , Carlos A. R. Herdeiro , João P. A. Novo

In the present work we study the geodesic motion and accretion process of a test particle near an Anti-de Sitter (ADS) BH surrounded by a dark fluid with a Chaplygin-like equation. Within the defined paradigm, we investigate on the…

General Relativity and Quantum Cosmology · Physics 2023-11-27 G. Mustafa , S. K. Maurya , A. Ditta , Saibal Ray , Farruh Atamurotov

We consider collision of two geodesic particles near the horizon of such an axially symmetric black hole (rotating or static) that the metric coefficient $g_{\phi \phi }\rightarrow 0$ there. It is shown that (both for regular and singular…

General Relativity and Quantum Cosmology · Physics 2016-09-07 O. B. Zaslavskii

In this article we analyze the geodesics of test particles and light in the five dimensional (charged) doubly spinning black ring spacetime. Apparently it is not possible to separate the Hamilton-Jacobi-equation for (charged) doubly…

General Relativity and Quantum Cosmology · Physics 2013-03-27 Saskia Grunau , Valeria Kagramanova , Jutta Kunz

We study collision of particles in the vicinity of a horizon of a weakly magnetized non-rotating black hole. In the presence of the magnetic field innermost stable circular orbits (ISCO) of charged particles can be located close to the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Valeri P. Frolov

In this paper we will study the geodesic motion of massive particles, in a Schwarzschild background, with a semi-classical quantum framework called "Polymer Quantum Mechanics" (PQM) in order to investigate the black hole phenomenology…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Lorenzo Boldorini , Corrado Marzano , Giovanni Montani

We study the null geodesics in a static circularly symmetric (SCS) black hole spacetime which is a solution in the $(2+1)$-dimensional massive gravity proposed by Bergshoeff, Hohm and Townsend (BHT massive gravity). We obtain analytic…

General Relativity and Quantum Cosmology · Physics 2019-07-23 Keisuke Nakashi , Shinpei Kobayashi , Shu Ueda , Hiromi Saida

We introduce an exactly solvable example of timelike geodesic motion and geodesic deviation in the background geometry of a well-known two-dimensional black hole spacetime. The effective potential for geodesic motion turns out to be either…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ratna Koley , Supratik Pal , Sayan Kar

A recent notion of geodesic flows which comes out of noncommutative geometry but which is also novel in the classical case is studied in detail for a Schwarzschild spacetime. In this framework, the geodesic velocity field is an independent…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Kaushlendra Kumar , Shahn Majid

The topological approach has recently been successfully employed to investigate timelike circular orbits for massive neutral test particles. The observed vanishing topological number implies that these timelike circular orbits occur in…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Xu Ye , Shao-Wen Wei

The mass and spin of black holes (BHs) in binary systems may change due to the infall of gravitational-wave (GW) energy down the horizons. For spinning BHs, this effect enters at 2.5 post-Newtonian (PN) order relative to the leading-order…

General Relativity and Quantum Cosmology · Physics 2023-04-19 M. V. S. Saketh , Jan Steinhoff , Justin Vines , Alessandra Buonanno

In this work we derived a rotating and non-linear magnetic-charged black hole surrounded by quintessence using the Newman-Janis algorithm. Considering the state parameter $\omega_q=-3/2$, we studied the event horizons, the ergosphere, and…

General Relativity and Quantum Cosmology · Physics 2020-02-21 Carlos A. Benavides-Gallego , A. A. Abdujabbarov , Cosimo Bambi

We simulate high-energy scattering of equal-mass, nonspinning black holes endowed with like charges in full general relativity while varying the impact parameter $b$. We show that electrodynamics does not suppress zoom-whirl orbits for at…

General Relativity and Quantum Cosmology · Physics 2024-11-20 M A. M. Smith , Vasileios Paschalidis , Gabriele Bozzola

One of the most important geodesics in a black-hole spacetime is the marginally bound spherical orbit. This critical geodesic represents the innermost spherical orbit which is bound to the central black hole. The radii $r_{\text{mb}}({\bar…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Shahar Hod