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In curved space-time, Hamilton-Jacobi equation is a semi-classical particle's motion equation, which plays an important role in the research of black hole physics. In this paper, starting from Dirac equation describing the spin 1/2 fermion…

General Relativity and Quantum Cosmology · Physics 2017-05-24 Guo-Ping Li , Zhong-Wen Feng , Hui-Ling Li , Xiao-Tao Zu

A class of static, vacuum solutions of (free-electromagnetic) Kaluza-Klein equations with three-dimensional spherical symmetry is studied. In order to explore the dynamic in such spacetimes, geodesic equations are obtained and the effective…

General Relativity and Quantum Cosmology · Physics 2013-05-06 Valentino Lacquaniti , Giovanni Montani , Daniela Pugliese

Tidal perturbations play an important role in the study of the dynamics in the classical two-body system. Understanding tidal effects in strong-field regions may allow one to use gravitational-wave or electromagnetic observations to locate…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Vitor Cardoso , Arianna Foschi

We study the behaviour of spinning test particles in the Schwarzschild spacetime. Using Mathisson-Papapetrou equations of motion we confine our attention to spatially circular orbits and search for observable effects which could eventually…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Donato Bini , Fernando de Felice , Andrea Geralico

We study the motion of test particles and the propagation of light around neutral hairy black holes under the influence of a self-interacting real scalar field minimally coupled to gravity. The goal of the present work is to show that the…

High Energy Physics - Theory · Physics 2022-10-18 Weyner Ccuiro , David Choque , Gustavo Valdivia-Mera

The timelike structure of the five-dimensional Schwarzschild and Reissner-Nordstr\"om Anti-de Sitter black holes is studied in detail. Different kinds of motion are allowed and studied by using an adequate effective potential. Then, by…

General Relativity and Quantum Cosmology · Physics 2023-08-04 P. A. González , Marco Olivares , Yerko Vásquez , J. R. Villanueva

The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial…

General Relativity and Quantum Cosmology · Physics 2018-08-21 Donato Bini , Andrea Geralico

In this article we derive the geodesic equations in the $\text{U(1)}^2$ dyonic rotating black hole spacetime. We present their solutions in terms of the Kleinian $\sigma$-function and in special cases in terms of the Weierstra{\ss} $\wp$-,…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Kai Flathmann , Saskia Grunau

In this paper, we investigate the null geodesics of the static charged black hole in heterotic string theory. A detailed analysis of the geodesics are done in the Einstein frame as well as in the string frame. In the Einstein frame, the…

High Energy Physics - Theory · Physics 2013-05-30 Sharmanthie Fernando

We study bound orbits of a free particle around a singly rotating black ring. We find there exists chaotic motion of a particle which is gravitationally bound to the black ring by using the Poincare map.

High Energy Physics - Theory · Physics 2011-02-15 Takahisa Igata , Hideki Ishihara , Yohsuke Takamori

Plane electromagnetic and gravitational waves interact with particles in such a way as to cause them to oscillate not only in the transverse direction but also along the direction of propagation. The electromagnetic case is usually shown by…

General Physics · Physics 2015-05-27 Gerald E. Marsh

We consider test particle motion in a gravitational field generated by a homogeneous circular ring placed in $n$-dimensional Euclidean space. We observe that there exist no stable stationary orbits in $n=6, 7, \ldots, 10$ but exist in $n=3,…

General Relativity and Quantum Cosmology · Physics 2020-08-18 Takahisa Igata

In classical Kaluza-Klein theory, with compactified extra dimensions and without scalar field, the rest mass as well as the electric charge of test particles are constants of motion. We show that in the case of a large extra dimension this…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Ponce de Leon

Depending on five parameters, rotating counterparts of Einstein--Maxwell--dilaton black holes are derived. We discuss their physical and geometric properties and investigate their null and time-like geodesics including circular orbits. The…

General Relativity and Quantum Cosmology · Physics 2018-12-21 Mustapha Azreg-Aïnou , Sumarna Haroon , Mubasher Jamil , Muhammad Rizwan

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

Based on the coupling between the spin of a particle and gravitoelectromagnetic field, the equation of motion of a spinning test particle in gravitational field is deduced. From this equation of motion, it is found that the motion of a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ning Wu

In Ref. [1], the spacetime geometry generated by compact objects in $(2+1)$-dimensional Bopp-Podolsky electrodynamics is derived. Using a perturbative approach, the authors derived a charged BTZ-like black hole solution and computed…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Faizuddin Ahmed , Ahmad Al-Badawi , Abdelmalek Bouzenada , Erdem Sucu , İzzet Sakallı

We investigate the motion of massive charged and spinning test particles around a charged dyonic black hole spacetime surrounded by perfect fluid scalar dark matter field. We obtain the equations of motion and find the expressions for the…

General Relativity and Quantum Cosmology · Physics 2022-06-07 Sanjar Shaymatov , Pankaj Sheoran , Sanjay Siwach

The study of the motion of photons around massive bodies is one of the most useful tools to know the geodesic structure associated with said gravitational source. In the present work, different possible paths projected in an invariant…

General Relativity and Quantum Cosmology · Physics 2021-03-31 P. A. González , Marco Olivares , Yerko Vásquez , J. R. Villanueva

Properties of the motion of electrically charged particles in the background of the Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) black hole is presented in this paper. Radial and angular motion are studied analytically for different…

General Relativity and Quantum Cosmology · Physics 2016-01-20 J. R. Villanueva , Marco Olivares