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In the present article, we discuss the late inspiral and then the transition regime to the plunge phase of a secondary, less massive compact object into a more massive braneworld black hole, in the context of an extreme-mass-ratio inspiral.…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Sajal Mukherjee , Sumanta Chakraborty

The inspiral of a stellar mass compact object falling into a massive Kerr black hole can be broken into three different regimes: An adiabatic inspiral phase, where the inspiral timescale is much larger than the orbital period; a late-time…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pranesh A. Sundararajan

We extend the Ori-Thorne-Kesden procedure to consistently describe the non-quasi-circular transition around the ISCO from inspiral to plunge into a black hole of arbitrary spin, including near-extremal. We identify that for moderate or high…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Geoffrey Compère , Kwinten Fransen , Caroline Jonas

Black hole binaries with small mass ratios will be critical targets for the forthcoming Laser Interferometer Space Antenna (LISA) mission. They also serve as useful tools for understanding the properties of binaries at general mass ratios.…

General Relativity and Quantum Cosmology · Physics 2025-02-27 Devin R. Becker , Scott A. Hughes

There are three regimes of gravitational-radiation-reaction-induced inspiral for a compact body with mass mu, in a circular, equatorial orbit around a Kerr black hole with mass M>>mu: (i) The "adiabatic inspiral regime", in which the body…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Amos Ori , Kip S. Thorne

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

We study the transition from inspiral to plunge in general relativity by computing gravitational waveforms of non-spinning, equal-mass black-hole binaries. We consider three sequences of simulations, starting with a quasi-circular inspiral…

General Relativity and Quantum Cosmology · Physics 2008-11-26 U. Sperhake , E. Berti , V. Cardoso , J. A. Gonzalez , B. Bruegmann , M. Ansorg

Ori and Thorne have discussed the duration and observability (with LISA) of the transition from circular, equatorial inspiral to plunge for stellar-mass objects into supermassive ($10^{5}-10^{8}M_{\odot}$) Kerr black holes. We extend their…

General Relativity and Quantum Cosmology · Physics 2009-04-03 R. O'Shaughnessy

Extreme mass ratio inspirals (EMRIs), where a compact object orbits a massive black hole, are a key source of gravitational waves for the future Laser Interferometer Space Antenna (LISA). Due to their small mass ratio, ($\epsilon \sim…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Philip Lynch , Vojtěch Witzany , Maarten van de Meent , Niels Warburton

This paper reconstructs the derivation process from the Kerr metric to the adiabatic inspiral, transition, and plunge regimes, aiming to highlight the details and logical connections often overlooked in previous derivations. The first half…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Boyan Wang

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

In this paper we discuss the development of a fast and accurate waveform model for the quasi-circular orbital evolution of extreme-mass-ratio-inspirals (EMRIs). This model simply employs the data of a few numerical Teukoulsky-based energy…

General Relativity and Quantum Cosmology · Physics 2016-09-23 Wen-Biao Han

We develop a waveform model to describe the inspiral, merger and ringdown of binary systems with comparable and intermediate mass-ratios. This model incorporates first-order conservative self-force corrections to the energy and angular…

General Relativity and Quantum Cosmology · Physics 2014-07-11 E. A. Huerta , Prayush Kumar , Jonathan R. Gair , Sean T. McWilliams

The largest part of any gravitational-wave inspiral of a compact binary can be understood as a slow, adiabatic drift between the trajectories of a certain referential conservative system. In many contexts, the phase space of this…

General Relativity and Quantum Cosmology · Physics 2021-11-23 Georgios Lukes-Gerakopoulos , Vojtěch Witzany

A test particle of mass mu on a bound geodesic of a Kerr black hole of mass M >> mu will slowly inspiral as gravitational radiation extracts energy and angular momentum from its orbit. This inspiral can be considered adiabatic when the…

General Relativity and Quantum Cosmology · Physics 2011-05-23 Michael Kesden

Compact binaries with asymmetric mass ratios are key expected sources for next-generation gravitational wave detectors. Gravitational self-force theory has been successful in producing post-adiabatic waveforms that describe the…

General Relativity and Quantum Cosmology · Physics 2024-11-04 Lorenzo Küchler , Geoffrey Compère , Leanne Durkan , Adam Pound

We show that transient resonances occur in the two body problem in general relativity, in the highly relativistic, extreme mass-ratio regime for spinning black holes. These resonances occur when the ratio of polar and radial orbital…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Eanna E. Flanagan , Tanja Hinderer

Systems of two black holes with unbound orbits can produce a diverse array of gravitational wave signals with rich morphology. This parameter space encompasses both hyperbolic orbit scattering events and dynamical captures, including…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Chad Henshaw , Jacob Lange , Peter Lott , Richard O'Shaughnessy , Laura Cadonati

Combining recent techniques giving non-perturbative re-summed estimates of the damping and conservative parts of the two-body dynamics, we describe the transition between the adiabatic phase and the plunge, in coalescing binary black holes…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Alessandra Buonanno , Thibault Damour

We develop the first model for extreme mass-ratio inspirals (EMRIs) into a rotating massive black hole driven by the gravitational self-force. Our model is based on an action angle formulation of the method of osculating geodesics for…

General Relativity and Quantum Cosmology · Physics 2022-08-04 Philip Lynch , Maarten van de Meent , Niels Warburton
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