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Related papers: Equatorial timelike circular orbits around generic…

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Regular rotating black holes are usually described by a metric of the Kerr-Schild form with a particular mass function that is chosen to avoid the ring singularity of the Kerr metric and which approaches the Kerr metric at the asymptotic…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Marcos L. W. Basso , Vilson T. Zanchin

We provide a systematic analysis of the multipolar gravitational waveform, energy and angular momentum fluxes emitted by a nonspinning test particle orbiting a Kerr black hole along equatorial, eccentric orbits. These quantities are…

General Relativity and Quantum Cosmology · Physics 2022-03-31 Simone Albanesi , Alessandro Nagar , Sebastiano Bernuzzi

Using an effective potential method we examine binary black holes where the individual holes carry spin. We trace out sequences of quasi-circular orbits and locate the innermost stable circular orbit as a function of spin. At large…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Harald P. Pfeiffer , Saul A. Teukolsky , Gregory B. Cook

In this Letter we investigate uniformly rotating, homogeneous and axisymmetric relativistic fluid bodies with a toroidal shape. The corresponding field equations are solved by means of a multi-domain spectral method, which yields highly…

General Relativity and Quantum Cosmology · Physics 2010-12-23 M. Ansorg , A. Kleinwächter , R. Meinel

We analytically compute time domain gravitational waveforms produced in the final stages of extreme mass ratio inspirals of non-spinning compact objects into supermassive nearly extremal Kerr black holes. Conformal symmetry relates all…

General Relativity and Quantum Cosmology · Physics 2019-10-17 Geoffrey Compère , Kwinten Fransen , Thomas Hertog , Jiang Long

The lack of a positive-definite and conserved energy is a serious obstacle in the black hole stability problem. In this work, we will show that there exists a positive-definite and conserved Hamiltonian energy for axially symmetric linear…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Nishanth Gudapati

Astrophysical black holes are invariably embedded in matter environments whose gravitational influence can alter key strong-field features of the spacetime. In this work, we investigate the impact of spherically symmetric dark-matter…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Dylan S. Fonseca , Caio F. B. Macedo , Mateus Malato Corrêa , Diego Rubiera-Garcia

A class of metrics solving Einstein's equations with negative cosmological constant and representing rotating, topological black holes is presented. All such solutions are in the Petrov type-$D$ class, and can be obtained from the most…

General Relativity and Quantum Cosmology · Physics 2014-11-17 D. Klemm , V. Moretti , L. Vanzo

According to various models, the orbital and the epicyclic frequencies of particles moving on a circular orbit around compact objects are related to the quasi-periodic oscillations observed in the X-ray flux of some pulsars or black hole…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Kalin V. Staykov , Daniela D. Doneva , Stoytcho S. Yazadjiev

Recently it has been argued that near-horizon modifications of the standard (classical) black hole spacetime could lead to observable alterations of the gravitational waveform generated by a binary black hole coalescence. Such modifications…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Luis Felipe Longo Micchi , Cecilia Chirenti

Understanding the dynamics around rotating black holes is imperative to the success of the future gravitational wave observatories. Although integrable in principle, test particle orbits in the Kerr spacetime can also be elaborate, and…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Janna Levin , Gabe Perez-Giz

We investigate the stable circular orbits of the spinning test particles around the accelerating Kerr black hole on the equatorial plane. To this end, we first calculate the equations of motion and analyze the parameter space for the…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Ming Zhang , Jie Jiang

We study stable circular orbits in spherically symmetric AdS black holes in various dimensions and their limiting innermost stable circular orbits (ISCOs). We provide analytic expressions for their size, angular velocity and angular…

High Energy Physics - Theory · Physics 2021-02-03 David Berenstein , Ziyi Li , Joan Simon

The rapid progress in gravitational wave astronomy has provided an opportunity for investigating the presence of long-range scalar forces that exclusively manifest around astrophysical black holes. In this paper, we explore a new…

General Relativity and Quantum Cosmology · Physics 2024-05-22 Ximeng Li , Jing Ren

Exotic compact objects, horizonless spacetimes with reflective properties, have intriguingly been suggested by some quantum-gravity models as alternatives to classical black-hole spacetimes. A remarkable feature of spinning horizonless…

High Energy Physics - Theory · Physics 2017-08-02 Shahar Hod

We consider thin accretion disks in the field of a class of rotating regular black holes. For this purpose, we obtain the radius of the innermost stable circular orbit, $r_{ISCO}$ and efficiency of accretion disk in converting matter into…

General Relativity and Quantum Cosmology · Physics 2023-07-28 Kuantay Boshkayev , Talgar Konysbayev , Yergali Kurmanov , Orlando Luongo , Marco Muccino , Aliya Taukenova , Ainur Urazalina

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 investigate the kinematic topologies of light rings (LRs) and massive particle rings (PRs) encircling spherical and axisymmetric black holes. Our results demonstrate that the global topology number of LRs is consistently -1 for…

General Relativity and Quantum Cosmology · Physics 2023-08-17 Jiayu Yin , Jie Jiang , Ming Zhang

We study the motion of test particles around a center of attraction represented by a monopole (with and without spheroidal deformation) surrounded by a ring, given as a superposition of Morgan & Morgan discs. We deal with two kinds of…

Earth and Planetary Astrophysics · Physics 2012-09-24 Javier Ramos-Caro , Juan F. Pedraza , Patricio S. Letelier

In paper I in this series, we found exact expressions for the equatorial homoclinic orbits: the separatrix between bound and plunging, whirling and not whirling. As a companion to that physical space study, in this paper we paint a phase…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Gabe Perez-Giz , Janna Levin