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Related papers: Zoom & Whirl: Eccentric equatorial orbits around s…

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We examine the evolution, under gravitational radiation reaction, of slightly eccentric equatorial orbits of point particles around Kerr black holes. Our method involves numerical integration of the Sasaki-Nakamura equation. It is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Daniel Kennefick

We present a new approximate method for constructing gravitational radiation driven inspirals of test-bodies orbiting Kerr black holes. Such orbits can be fully described by a semi-latus rectum $p$, an eccentricity $e$, and an inclination…

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

A major focus of much current research in gravitation theory is on understanding how radiation reaction drives the evolution of a binary system, particularly in the extreme mass ratio limit. Such research is of direct relevance to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Scott A. Hughes

The effect of gravitational radiation reaction on orbits around a spinning black hole is analyzed. Such orbits possess three constants of motion: $\iota$, $e$, and $a$, which correspond, in the Newtonian limit of the orbit being an ellipse,…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Fintan D. Ryan

We study binary systems in which a stellar mass compact object spirals into a massive black hole, known as extreme mass ratio inspirals, in scenarios with a new fundamental scalar field. Earlier work has shown that, in most interesting such…

General Relativity and Quantum Cosmology · Physics 2022-09-15 Susanna Barsanti , Nicola Franchini , Leonardo Gualtieri , Andrea Maselli , Thomas P. Sotiriou

We have performed a detailed analysis of orbital motion in the vicinity of a nearly extremal Kerr black hole. For very rapidly rotating black holes (spin a=J/M>0.9524M) we have found a class of very strong field eccentric orbits whose…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Enrico Barausse , Scott A. Hughes , Luciano Rezzolla

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

The detection of gravitational waves from Extreme mass Ratio Inspirals (EMRIs) by the future space-based gravitational-wave detectors demands the generation of accurate enough waveform templates. Since the spin of the smaller secondary body…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Viktor Skoupý , Georgios Lukes-Gerakopoulos

We perform a parameter study of non-spinning, equal and unequal mass black hole binaries on generic, eccentric orbits in numerical relativity. The linear momentum considered ranges from that of a circular orbit to ten times that value. We…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Roman Gold , Bernd Bruegmann

The inspiral of a ``small'' ($\mu \sim 1-100 M_\odot$) compact body into a ``large'' ($M \sim 10^{5-7} M_\odot$) black hole is a key source of gravitational radiation for the space-based gravitational-wave observatory LISA. The waves from…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Scott A. Hughes

Gravitational radiation reaction, has been one of the fundamental issues in general relativity. Over a span of decades, this process has been analyzed in the adiabatic limit, in order to comprehend how it drives extreme-mass-ratio binaries,…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Areti Eleni , Kyriakos Destounis , Theocharis A. Apostolatos , Kostas D. Kokkotas

We compare different methods of computing the orbital eccentricity of quasi-circular binary black hole systems using the orbital variables and gravitational wave phase and frequency. For eccentricities of about a per cent, most methods work…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Abdul H. Mroué , Harald P. Pfeiffer , Lawrence E. Kidder , Saul A. Teukolsky

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

Black hole binaries with small mass ratios will be important sources for the forthcoming Laser Interferometer Space Antenna (LISA) mission. Models of such binaries also serve as useful tools for understanding the dynamics of compact binary…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Devin R. Becker , Scott A. Hughes , Gaurav Khanna

In this paper, we continue our study of the motion of spinning test bodies orbiting Kerr black holes. Non-spinning test bodies follow geodesics of the spacetime in which they move. A test body's spin couples to the curvature of that…

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

We analyze a rotating regular black hole spacetime with an asymptotically Minkowski core, focusing on extreme mass-ratio inspiral (EMRIs) where a stellar-mass object inspirals a supermassive black hole under consideration. Such spacetimes…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Shailesh Kumar , Tieguang Zi

To describe a general bound binary black hole system, we need to consider orbital eccentricity and the misalignment of black holes' spin vectors with respect to the orbital angular momentum. While binary black holes produced through many…

High Energy Astrophysical Phenomena · Physics 2025-05-13 Amitesh Singh , Nathan K. Johnson-McDaniel , Anuradha Gupta , Khun Sang Phukon

We calculate the kick generated by an eccentric black hole binary inspiral as it evolves through a resonant orbital configuration where the precession of the system temporarily halts. As a result, the effects of the asymmetric emission of…

General Relativity and Quantum Cosmology · Physics 2014-08-20 Maarten van de Meent

The swirling-Kerr black hole is a novel solution of vacuum general relativity and has an extra swirling parameter characterizing the rotation of spacetime background. We have studied the gravitational waves generated by extreme mass ratio…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Yuhang Gu , Songbai Chen , Jiliang Jing

We study zoom-whirl behaviour of equal mass, non-spinning black hole binaries in full general relativity. The magnitude of the linear momentum of the initial data is fixed to that of a quasi-circular orbit, and its direction is varied. We…

General Relativity and Quantum Cosmology · Physics 2010-05-07 Roman Gold , Bernd Bruegmann
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