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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

The occurrence of chaos for test particles moving around a slowly rotating black hole with a dipolar halo is studied using Poincar\'e sections. We find a novel effect, particles with angular momentum opposite to the black hole rotation have…

General Relativity and Quantum Cosmology · Physics 2014-11-17 P. S. Letelier , W. M. Vieira

We discuss charged particles motion in a spacetime of a weakly magnetized static non-rotating black hole. We study under which conditions a charged particle originally revolving around the black hole at a circular orbit after being kicked…

General Relativity and Quantum Cosmology · Physics 2016-11-04 A. M. Al Zahrani , Valeri P. Frolov , Andrey A. Shoom

We study the motion of test particle in static axisymmetric vacuum spacetimes and discuss two criteria for strong chaos to occur: (1) a local instability measured by the Weyl curvature, and (2) a tangle of a homoclinic orbit, which is…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Y. Sota , S. Suzuki , K. Maeda

We investigate the long-term orbital dynamics of spinless extended bodies in Schwarzschild geometry, and show that periodic deviations from spherical symmetry in the shape of a test body may trigger the onset of chaos. We do this by…

General Relativity and Quantum Cosmology · Physics 2022-07-19 Ricardo A. Mosna , Fernanda F. Rodrigues , Ronaldo S. S. Vieira

In this paper we prove the occurence of chaos for charged particles moving around a Schwarzshild black hole, perturbed by uniform electric and magnetic fields. The appearance of chaos is studied resorting to the Poincare'-Melnikov method.

Chaotic Dynamics · Physics 2021-10-20 Manuele Santoprete , Giampaolo Cicogna

In this work, we present the new technique for discussing the dynamical motion of neutral as well as charged particles in the absence/presence of magnetic field around the time conformal Schwarzschild black hole. Initially, we find the…

General Physics · Physics 2016-11-23 Abdul Jawad , Farhad Ali , M. Umair Shahzad , G. Abbas

Based on the scalar-tensor-vector modified gravitational theory, a modified gravity Schwarzschild black hole solution has been given in the existing literature. Such a black hole spacetime is obtained through the inclusion of a modified…

General Relativity and Quantum Cosmology · Physics 2022-06-10 Daqi Yang , Wenfu Cao , Naying Zhou , Hongxing Zhang , Wenfang Liu , Xin Wu

This work is concerned with suitable choices of tetrad fields and coordinate systems for the Hamiltonian formalism of a spinning particle derived in [E. Barausse, E. Racine, and A. Buonanno, Phys. Rev. D 80, 104025 (2009)]. After…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Daniela Kunst , Tomáš Ledvinka , Georgios Lukes-Gerakopoulos , Jonathan Seyrich

Geodesic dynamics is regular in the fields of isolated stationary black holes. However, due to the presence of unstable periodic orbits, it easily becomes chaotic under various perturbations. Here we examine what amount of chaoticity is…

General Relativity and Quantum Cosmology · Physics 2012-11-20 O. Semerák , P. Suková

We study the dynamics of spinning charged test particles orbiting a Schwarzschild black hole immersed in a test uniform magnetic field. This setup provides a simple but physically relevant framework for modeling particle motion in…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Misbah Shahzadi , Martin Kolos , Ondrej Zelenka , Georgios Lukes-Gerakopoulos

We investigate the motion of particles in the spacetime of a Kerr black hole immersed in swirling universes. Using the Poincar\'{e} section, fast Lyapunov exponent indicator, bifurcation diagram and basins of attraction, we present the…

General Relativity and Quantum Cosmology · Physics 2024-10-11 Deshui Cao , Lina Zhang , Songbai Chen , Qiyuan Pan , Jiliang Jing

The motion of a charged particle is influenced by the self-force arising from the particle's interaction with its own field. In a curved spacetime, this self-force depends on the entire past history of the particle and is difficult to…

General Relativity and Quantum Cosmology · Physics 2012-09-28 Peter Diener , Ian Vega , Barry Wardell , Steven Detweiler

Chaos in the orbits of black hole pairs has by now been confirmed by several independent groups. While the chaotic behavior of binary black hole orbits is no longer argued, it remains difficult to quantify the importance of chaos to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Janna Levin

We study the behaviour of spin-half particles in curved space-time. Since Dirac equation gives the dynamics of spin-half particles, we mainly study the Dirac equation in Schwarzschild, Kerr, Reissner-Nordstr\"om geometry. Due to the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Banibrata Mukhopadhyay

This paper investigates the motion of a rotating test body in the Schwarzschild space-time. After reduction, this problem reduces to an analysis of a three-degree-of-freedom. Hamiltonian system whose desired trajectories lie on the…

Dynamical Systems · Mathematics 2026-02-12 Ivan Bizyaev

We present firstly the equation of motion for a test scalar particle coupling to Einstein tensor in the Schwarzschild-Melvin black hole spacetime through the short-wave approximation. Through analysing Poincar\'{e} sections, the power…

General Relativity and Quantum Cosmology · Physics 2017-04-11 Mingzhi Wang , Songbai Chen , Jiliang Jing

We study the time-like geodesic congruences, in the space-time geometry of a Schwarzschild black hole surrounded by quintessence. The nature of effective potential along with the structure of the possible orbits for test particles in view…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Rashmi Uniyal , N. Chandrachani Devi , Hemwati Nandan , K. D. Purohit

The motion of a massive test particle in a Schwarzschild spacetime surrounded by a perfect fluid with equation of state $p_0= w \rho_0$ is investigated. Deviations from geodesic motion are analyzed as a function of the parameter $w$,…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico , Sauro Succi

The paper is devoted to a detailed study of the effects of quantum corrections on the chaotic behavior in the dynamics of a (massless) probe particle near the horizon of a generalized Schwarzschild black hole. Two possible origins inducing…

General Relativity and Quantum Cosmology · Physics 2022-04-08 Avijit Bera , Surojit Dalui , Subir Ghosh , Elias C. Vagenas