English
Related papers

Related papers: Spherical orbits around a Kerr black hole

200 papers

We present exact black hole solutions endowed with magnetic charge coming from exponential and logarithmic nonlinear electrodynamics (NLED). Classically, we analyze the null and timelike geodesics, all of which contain both the bound and…

General Relativity and Quantum Cosmology · Physics 2021-12-14 A S. Habibina , B. N. Jayawiguna , H. S. Ramadhan

We explore the properties of test-particle orbits in "bumpy" spacetimes - stationary, reflection-symmetric, asymptotically flat solutions of Einstein equations that have a non-Kerr (anomalous) higher-order multipole-moment structure but can…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan R Gair , Chao Li , Ilya Mandel

We present new families of bound, closed, nonelliptical orbits that are supported by various spherical potentials in clear contradiction to Newton's and Bertrand's theorems. We calculate analytically some typical closed orbits of…

Earth and Planetary Astrophysics · Physics 2017-10-02 Dimitris M. Christodoulou , Demosthenes Kazanas

In this article, we investigate the bound orbits of the timelike particles and the gravitational waveforms emitted from these orbits around a renormalization group improved Kerr black hole in the framework of the asymptotic safety approach.…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Yong-Zhuang Li , Xiao-Mei Kuang

We analyze the properties of the circular orbits for massive particles in the equatorial plane of symmetric rotating Ellis wormholes. In particular, we obtain the orbital frequencies and the radial and vertical epicyclic frequencies, and…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Efthimia Deligianni , Burkhard Kleihaus , Jutta Kunz , Petya Nedkova , Stoytcho Yazadjiev

This paper investigates the trajectories of light beams in a Kerr metric, which describes the gravitational field in the neighborhood of a rotating black hole. After reduction by cyclic coordinates, this problem reduces to analysis of a…

Dynamical Systems · Mathematics 2025-01-23 Ivan Bizyaev

The last stable orbit (LSO) of a compact object (CO) is an important boundary condition when performing numerical analysis of orbit evolution. Although the LSO is already well understood for the case where a test-particle is in an…

General Relativity and Quantum Cosmology · Physics 2014-11-18 P. G. Komorowski , S. R. Valluri , M. Houde

We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola

In this paper, we study time-like geodesics around a spherically symmetric black hole in Kalb-Ramond (KR) gravity, characterized by the parameter $l$, which induces spontaneous Lorentz symmetry breaking. The geodesic equations and effective…

In presence of magnetic fields, the orbits of charged particles can be displaced from the equatorial plane. We study circular orbits of electrically charged massive objects around a magnetic black hole in the probe approximation. We show…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Jorge G. Russo

The motion of time-like test particles in the Fisher/Janis-Newman-Winicour (F/JNW) spacetime is studied with the Hamiltonian formulation of the geodesic equations. The spacetime is characterised by its mass parameter $r_g$ and scalar field…

General Relativity and Quantum Cosmology · Physics 2017-10-27 Gulmina Zaman Babar , Adil Zaman Babar , Yen-Kheng Lim

The construction of initial data for black-hole binaries usually involves the choice of free parameters that define the spins of the black holes and essentially the eccentricity of the orbit. Such parameters must be chosen carefully to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Matthew Caudill , Gregory B. Cook , Jason D. Grigsby , Harald P. Pfeiffer

Within a semiclassical framework, we investigate spherically symmetric solutions of the Einstein equations that (i) develop a trapped region within a finite time as measured by distant observers, and (ii) remain sufficiently regular at the…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Swayamsiddha Maharana , Rama Vadapalli

A natural combined model of the Kerr spinning particle and superparticle is obtained leading to a non-trivial super black hole solution. By analogue with complex structure of the Kerr solution we perform a supershift on the Kerr geometry,…

High Energy Physics - Theory · Physics 2016-09-06 Alexander Burinskii

We derive the secular evolution of the orbital elements of a stellar-mass object orbiting a spinning massive black hole. We use the post-Newtonian approximation in harmonic coordinates, with test-body equations of motion for the…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Clifford M. Will , Matthew Maitra

We analyze the relativistic dynamical properties of Keplerian and non-Keplerian circular orbits in a general axisymmetric and stationary gravitational field, and discuss the implications for the stability of co- and counter-rotating…

General Relativity and Quantum Cosmology · Physics 2015-06-25 C. Barrabes , B. Boisseau , W. Israel

The Mathisson-Papapetrou equations in Kerr's background are considered. The region of existence of highly relativistic planar circular orbits of a spinning particle in this background and dependence of the particle's Lorentz $\gamma$-factor…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Roman Plyatsko , Mykola Fenyk

This work presents, the first time, analytic solutions for the nearly equatorial, plunging motion of a spinning test-particle in Kerr spacetime. The equations of motion are solved at first-order in the small-body spin for all classes of…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Gabriel Andres Piovano

We analyse the massless particles orbiting a spherically symmetric, asymptotically flat black hole with a radius equal to the photon sphere and a circular geodesic. Asymptotic observers record the orbital period of the null circular…

General Relativity and Quantum Cosmology · Physics 2024-04-24 Yuxuan Shi

We analyze the orbital dynamics of spherical test bodies in ``black hole surrounded by dark matter halo'' spherically symmetric spacetimes. When the test body pulsates periodically (such as a variable star), altering its quadrupole tensor,…

General Relativity and Quantum Cosmology · Physics 2024-12-23 Tiago S. Amancio , Ricardo A. Mosna , Ronaldo S. S. Vieira