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Dynamics in the throat of rapidly rotating Kerr black holes is governed by an emergent near-horizon conformal symmetry. The throat contains unstable circular orbits at radii extending from the ISCO down to the light ring. We show that they…

High Energy Physics - Theory · Physics 2018-11-01 Shahar Hadar , Achilleas P. Porfyriadis

We examine the growth of eccentricities of a population of particles with initially circular orbits around a central massive body. Successive encounters between pairs of particles increase the eccentricities in the disk on average. As long…

Astrophysics · Physics 2008-11-26 Benjamin F. Collins , Hilke E. Schlichting , Re'em Sari

Whenever a freely spinning body is found in a complex rotational state, this means that either the body is a recent victim of an impact or a tidal interaction, or is a fragment of a recently disrupted progenitor. Another factor (relevant…

Astrophysics · Physics 2009-11-07 Michael Efroimsky

We examine the evolution of an almost circular Keplerian orbit interacting with unbound perturbers. We calculate the change in eccentricity and angular momentum that results from a single encounter, assuming the timescale for the…

Astrophysics · Physics 2009-11-13 Benjamin F. Collins , Re'em Sari

The post-Newtonian orbital effects induced by the mass quadrupole and spin octupole moments of an isolated, oblate spheroid of constant density that is rigidly and uniformly rotating on the motion of a test particle are analytically worked…

General Relativity and Quantum Cosmology · Physics 2024-01-31 Lorenzo Iorio

Spinning horizonless compact objects may be unstable against an 'ergoregion instability'. We investigate this mechanism for electromagnetic perturbations of ultracompact Kerr-like objects with a reflecting surface, extending previous…

General Relativity and Quantum Cosmology · Physics 2019-03-13 Elisa Maggio , Vitor Cardoso , Sam R. Dolan , Paolo Pani

The unprecedented light curves of the Kepler space telescope document how the brightness of some stars pulsates at primary and secondary frequencies whose ratios are near the golden mean, the most irrational number. A nonlinear dynamical…

Chaotic Dynamics · Physics 2015-02-05 John F. Lindner , Vivek Kohar , Behnam Kia , Michael Hippke , John G. Learned , William L. Ditto

We investigate the dynamics of the Papapetrou equations in Kerr spacetime. These equations provide a model for the motion of a relativistic spinning test particle orbiting a rotating (Kerr) black hole. We perform a thorough parameter space…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Michael D. Hartl

The loss of orbital energy and angular momentum to gravitational waves produced in a binary inspiral forces the orbital eccentricity to adiabatically evolve and oscillate. For comparable-mass binaries, the osculating eccentricity is thought…

General Relativity and Quantum Cosmology · Physics 2019-01-21 Nicholas Loutrel , Samuel Liebersbach , Nicolas Yunes , Neil Cornish

The worldline of a spinning test body moving in curved spacetime can be provided by the Mathisson-Papapetrou-Dixon (MPD) equations when its centroid, i.e. its center of mass, is fixed by a Spin Supplementary Condition (SSC). In the present…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Iason Timogiannis , Georgios Lukes-Gerakopoulos , Theocharis A. Apostolatos

Using the recently derived higher spin gravitational Compton amplitude from low-energy analytically continued ($a/Gm\gg1$) solutions of the Teukolsky equation for the scattering of a gravitational wave off the Kerr black hole, observables…

High Energy Physics - Theory · Physics 2023-09-28 Yilber Fabian Bautista

We explore how the internal structure of a test particle affects its equatorial stable circular orbits around the Kerr black hole with or without a cosmological constant. To this end, we first explicitly write equations of motion for a test…

General Relativity and Quantum Cosmology · Physics 2022-10-19 Ming Zhang , Jie Jiang

Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run-state and a turn state,…

Soft Condensed Matter · Physics 2025-10-30 Agniva Datta , Carsten Beta , Robert Großmann

Rotating black holes are prevalent in astrophysical observations, and a Kerr-like solution that incorporates quantum gravity effects is essential for constructing realistic models. In this work, we analyze the geodesic motion of massive…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Zhiyang Guo , Chen Lan , Yan Liu

We provide a method for analytically constructing high-accuracy templates for the gravitational wave signals emitted by compact binaries moving in inspiralling eccentric orbits. By contrast to the simpler problem of modeling the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Thibault Damour , Achamveedu Gopakumar , Bala R. Iyer

Compact binaries consisting of neutron stars / black holes on eccentric orbit undergo a perturbed Keplerian motion. The perturbations are either of relativistic origin or are related to the spin, mass quadrupole and magnetic dipole moments…

Astrophysics · Physics 2016-08-16 Zoltán Keresztes , Balázs Mikóczi , László Á. Gergely

We investigate the spin dynamics of a millisecond pulsar (MSP) in a tightly bounded orbit around a massive black hole. These binaries are progenitors of the extreme-mass-ratio-inspirals (EMRIs) and intermediate-mass-ratio-inspirals (IMRIs)…

High Energy Astrophysical Phenomena · Physics 2019-02-11 Kaye Jiale Li , Kinwah Wu , Dinesh Singh

We consider circular motion in the NUT (Newman-Unti-Tamburino) space-time. Among other things, we determine the location of circular time-like geodesic orbits, in particular of the innermost stable circular orbit (ISCO) and of the…

General Relativity and Quantum Cosmology · Physics 2017-05-09 Paul Jefremov , Volker Perlick

We investigate motion of test particles in exact spacetimes with an expanding impulsive gravitational wave which propagates in Minkowski, de Sitter or anti-de Sitter universe. Using the continuous form of these metrics we derive explicit…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Jiri Podolsky , Robert Svarc

This paper explores the dynamics of both neutral as well as charged particles orbiting near a rotating black hole in scalar-tensor-vector gravity. We study the conditions for the particle to escape at the innermost stable circular orbit. We…

General Relativity and Quantum Cosmology · Physics 2017-09-13 M. Sharif , Misbah Shahzadi