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Very large mass ratio binary black hole systems are of interest both as a clean limit of the two-body problem in general relativity, as well as for their importance as sources of low-frequency gravitational waves. At lowest order, the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Lisa V. Drummond , Scott A. Hughes

The study of spinning bodies moving in curved spacetime has relevance to binary black hole systems with large mass ratios, as well as being of formal interest. At zeroth order in a binary's mass ratio, the smaller body moves on a geodesic…

General Relativity and Quantum Cosmology · Physics 2023-10-23 Lisa V. Drummond , Alexandra G. Hanselman , Devin R. Becker , Scott A. Hughes

A small body orbiting a black hole follows a trajectory that, at leading order, is a geodesic of the black hole spacetime. Much effort has gone into computing "self force" corrections to this motion, arising from the small body's own…

General Relativity and Quantum Cosmology · Physics 2016-08-10 Uchupol Ruangsri , Sarah J. Vigeland , Scott A. Hughes

The dynamics of spinning test bodies, moving in rotating black hole (Kerr, Bardeen-like and Hayward-like) spacetimes, are investigated. In Kerr spacetime, all the spherical, zoom-whirl and unbound orbits are considered numerically. Along…

General Relativity and Quantum Cosmology · Physics 2022-02-10 Balázs Mikóczi , Zoltán Keresztes

Understanding the orbits of spinning bodies in curved spacetime is important for modeling binary black hole systems with small mass ratios. At zeroth order in mass ratio, the smaller body moves on a geodesic. Post-geodesic effects are…

General Relativity and Quantum Cosmology · Physics 2025-09-05 Lisa V. Drummond , Philip Lynch , Alexandra G. Hanselman , Devin R. Becker , Scott A. Hughes

This thesis aims to explore the properties of the motion of finite size, compact test bodies around a Kerr black hole in the small mass-ratio approximation. The small body is modelled as a perturbation of Kerr geometry, neglecting its…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Adrien Druart

Inspirals of rotating stellar-mass compact objects into massive black holes are influenced by the spin-curvature coupling, which drives the compact body away from geodesic motion due to its rotation. I formulate the Hamilton-Jacobi equation…

General Relativity and Quantum Cosmology · Physics 2019-03-12 Vojtěch Witzany

Based on the covariant hamiltonian formalism, we study the dynamics of spinning test bodies in the Kerr and Schwarzschild spacetimes. For the first time, we derive the exact solution of circular orbits in the Kerr plane without truncating…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Satish Kumar Saravanan

Bound orbits of black holes are very well understood. Given a Kerr black hole of mass $M$ and spin $S = aM^2$, it is simple to characterize its orbits as functions of the orbit's geometry. How do the orbits change if the black hole is…

General Relativity and Quantum Cosmology · Physics 2019-09-11 Scott A. Hughes

As a first step towards the calculation of waveform of Extreme Mass Ratio Inspirals for Modified Gravity theories, we calculate the orbital frequencies of a Small Compact Object inspiralling into a super massive blackhole for a Nonlocal…

General Relativity and Quantum Cosmology · Physics 2020-08-11 Avani Patel

We use the frequency and time domain Teukolsky formalism to calculate gravitational-wave fluxes from a spinning body on a bound eccentric equatorial orbit around a Kerr black hole. The spinning body is represented as a point particle…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Viktor Skoupý , Georgios Lukes-Gerakopoulos

We study eccentric equatorial orbits of a test-body around a Kerr black hole under the influence of gravitational radiation reaction. We have adopted a well established two-step approach: assuming that the particle is moving along a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Kostas Glampedakis , Daniel Kennefick

We study the general relativistic periastron advance in spinning black hole binaries on quasi-circular orbits, with spins aligned or anti-aligned with the orbital angular momentum, using numerical-relativity simulations, the post-Newtonian…

We examine the dynamics of particles around a rotating regular black hole. In particular we focus on the effects of the characteristic length parameter of the spinning black hole on the motion of the particles by solving the equation of…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Brandon Bautista-Olvera , Juan Carlos Degollado , Gabriel German

We present a shifted-geodesic framework for computing gravitational-wave fluxes from spinning test bodies moving on bound orbits of Kerr black holes. The method provides a simple and efficient means of evaluating energy and angular momentum…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Lisa V. Drummond , Scott A. Hughes , Viktor Skoupý , Philip Lynch , Gabriel Andres Piovano

We consider the motion of charged and spinning bodies on the symmetry axis of a non-extremal Kerr-Newman black hole. If one treats the body as a test point particle of mass, $m$, charge $q$, and spin $S$, then by dropping the body into the…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Kristian Mackewicz , Robert M. Wald

The orbital velocity profile of circular timelike geodesics in the equatorial plane of a Kerr black hole has a non-monotonic radial behavior, provided that the spin parameter $a$ of the black hole is bigger than a certain critical value…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Jafar Khodagholizadeh , Volker Perlick , Ali Vahedi

We integrate the third and a half post-Newtonian equations of motion for a fully generic binary black hole system, allowing both for non-circular orbits, and for one or both of the black holes to spin, in any orientation. Using the second…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Brennan Ireland , Ofek Birnholtz , Hiroyuki Nakano , Eric West , Manuela Campanelli

Binary black holes which are both eccentric and undergo precession remain unexplored in numerical simulations. We present simulations of such systems which cover about 50 orbits at comparatively high mass ratios 5 and 7. The configurations…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Adam G. M. Lewis , Aaron Zimmerman , Harald P. Pfeiffer

We present a family of analytic solutions for the nearly-equatorial motion of a test particle with precessing spin in Kerr spacetime. We solve the equations of motion up to linear order in the small body's spin for periodic and homoclinic…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Gabriel Andres Piovano
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