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We extend the Ori and Thorne (OT) procedure to compute the transition from an adiabatic inspiral into a geodesic plunge for any spin, with emphasis on near-extremal ones. Our analysis revisits the validity of the approximations made in OT.…

广义相对论与量子宇宙学 · 物理学 2020-03-18 Ollie Burke , Jonathan R. Gair , Joan Simón

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…

广义相对论与量子宇宙学 · 物理学 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 U. Sperhake , E. Berti , V. Cardoso , J. A. Gonzalez , B. Bruegmann , M. Ansorg

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…

广义相对论与量子宇宙学 · 物理学 2011-05-23 Michael Kesden

Binary black hole mergers with asymmetric component masses are key targets for both third-generation ground-based and future space-based gravitational-wave (GW) detectors, offering unique access to the strong-field dynamics of gravity. The…

广义相对论与量子宇宙学 · 物理学 2025-12-17 Daiki Watarai , Kent Yagi , Shammi Tahura

The last gravitational waves emitted in the coalescence of two black holes are quasi-normal ringing modes of the merged remnant. In general relativity, the mass and the spin of the remnant black hole uniquely determine the frequency and…

广义相对论与量子宇宙学 · 物理学 2019-11-18 Anuj Apte , Scott A. Hughes

In a binary merger with a small mass ratio, as the secondary body approaches the innermost stable circular orbit (ISCO) of the primary black hole, the motion transitions from the adiabatic inspiral to the plunge governed by the geodesic…

广义相对论与量子宇宙学 · 物理学 2024-12-13 Daiki Watarai

We investigate the non-adiabatic dynamics of spinning black hole binaries by using an analytical Hamiltonian completed with a radiation-reaction force, containing spin couplings, which matches the known rates of energy and angular momentum…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Alessandra Buonanno , Yanbei Chen , Thibault Damour

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…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Amos Ori , Kip S. Thorne

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…

广义相对论与量子宇宙学 · 物理学 2025-10-14 Boyan Wang

We describe a model that generates first order adiabatic EMRI waveforms for quasi-circular equatorial inspirals of compact objects into rapidly rotating (near-extremal) black holes. Using our model, we show that LISA could measure the spin…

广义相对论与量子宇宙学 · 物理学 2021-01-04 Ollie Burke , Jonathan R. Gair , Joan Simón , Matthew C. Edwards

We study spin models on Euclidean black hole backgrounds. These resemble the Ising model, but are inhomogeneous with two parameters, the black hole mass and the cosmological constant. We use Monte-Carlo methods to study macroscopic…

广义相对论与量子宇宙学 · 物理学 2024-07-12 Mustafa Saeed , Viqar Husain

Interactions between a supermassive black hole binary and the surrounding accretion disc can both assist the binary inspiral and align the black hole spins to the disc angular momentum. While binary migration is due to angular-momentum…

星系天体物理 · 物理学 2016-05-02 Davide Gerosa , Benedetta Veronesi , Giuseppe Lodato , Giovanni Rosotti

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…

广义相对论与量子宇宙学 · 物理学 2009-04-03 R. O'Shaughnessy

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…

广义相对论与量子宇宙学 · 物理学 2022-09-15 Susanna Barsanti , Nicola Franchini , Leonardo Gualtieri , Andrea Maselli , Thomas P. Sotiriou

An extreme mass ratio inspiral consists of two parts: adiabatic inspiral and plunge. The plunge trajectory from the innermost stable circular orbit (ISCO) is special (somewhat independent of initial conditions). We write an expression for…

广义相对论与量子宇宙学 · 物理学 2015-03-13 Shahar Hadar , Barak Kol

During post-Newtonian evolution of a compact binary, a mass ratio different from 1 provides a second small parameter, which can lead to unexpected results. We present a statistics of supermassive black hole candidates, which enables us…

宇宙学与河外天体物理 · 物理学 2015-05-19 László Á. Gergely , Peter L. Biermann , Laurenţiu I. Caramete

A test particle possessing spin angular momentum moves along a non-geodesic path due to an additional spin-curvature force. We study the spinning test particle moving in the vicinity of the electrically charged black hole formation in…

广义相对论与量子宇宙学 · 物理学 2022-04-20 Ke Yang , Bao-Min Gu , Yu-Peng Zhang

We discuss the transition from quasi-circular inspiral to plunge of a system of two nonrotating black holes of masses $m_1$ and $m_2$ in the extreme mass ratio limit $m_1m_2\ll (m_1+m_2)^2$. In this limit, we compare the merger waveforms…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Thibault Damour , Alessandro Nagar

In the small mass ratio expansion and on the equatorial plane, the two-body problem for point particles in general relativity admits a quasi-circular inspiral motion followed by a transition-to-plunge motion. We first derive the equations…

广义相对论与量子宇宙学 · 物理学 2022-08-31 Geoffrey Compère , Lorenzo Küchler
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