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Extreme Mass Ratio Inspirals (EMRIs) are key observational targets for the Laser Interferometer Space Antenna (LISA) mission. Unresolvable EMRI signals contribute to the formation of a gravitational wave background (GWB). Characterizing the…

High Energy Astrophysical Phenomena · Physics 2025-06-02 Manuel Piarulli , Riccardo Buscicchio , Federico Pozzoli , Ollie Burke , Matteo Bonetti , Alberto Sesana

The numerical calculation of gravitational self-force in extreme mass ratio inspiral systems is fundamentally challenging due to the singular nature of point-particle sources. To overcome these difficulties, the effective source method…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Chao Zhang , Rong-gen Cai , Guoyang Fu , Yungui Gong , Xuchen Lu , Wenting Zhou

Extreme mass ratio inspirals (EMRIs), where a small compact object inspiralls onto a supermassive black hole, are excellent sources for the space-based laser interferometer gravitational wave (GW) detectors. The presence of dark matter…

General Relativity and Quantum Cosmology · Physics 2024-01-10 Chao Zhang , Guoyang Fu , Ning Dai

It is shown how the different irreducibility classes of the energy-momentum tensor allow for a Lagrangian formulation of the gravity-matter system using a selfdual 2-form as a basic variable. It is pointed out what kind of difficulties…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Mathias Pillin

For a successful detection of gravitational waves by LISA, it is essential to construct theoretical waveforms in a reliable manner. We discuss gravitational waves from an extreme mass ratio binary system which is expected to be a promising…

General Relativity and Quantum Cosmology · Physics 2010-11-26 Yasushi Mino

Using a world-sheet covariant formalism, we derive the equations of motion for second order perturbations of a generic macroscopic string, thus generalizing previous results for first order perturbations. We give the explicit results for…

High Energy Physics - Theory · Physics 2009-10-31 A. L. Larsen , A. Nicolaidis

Extreme-mass-ratio inspiral (EMRI) signals pose significant challenges in gravitational wave (GW) astronomy owing to their low-frequency nature and highly complex waveforms, which occupy a high-dimensional parameter space with numerous…

We present realistic eccentricity distributions for extreme mass ratio inspirals (EMRIs) forming via the two-body relaxation channel in nuclear star clusters, tracking their evolution up to the final plunge onto the central Schwarzschild…

High Energy Astrophysical Phenomena · Physics 2026-03-02 Davide Mancieri , Luca Broggi , Morgan Vinciguerra , Alberto Sesana , Matteo Bonetti

A small extended body moving through an external spacetime $g_{\alpha\beta}$ creates a metric perturbation $h_{\alpha\beta}$, which forces the body away from geodesic motion in $g_{\alpha\beta}$. The foundations of this effect, called the…

General Relativity and Quantum Cosmology · Physics 2012-10-05 Adam Pound

One of the primary sources for the future space-based gravitational wave detector, the Laser Interferometer Space Antenna, are the inspirals of small compact objects into massive black holes in the centres of galaxies. The gravitational…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Lorenzo Speri , Jonathan R. Gair

As in the case of the other gauge field theories, there is so called ``gauge'' also in general relativity. This ``gauge'' is unphysical degree of freedom. There are two kinds of ``gauges'' in general relativity. These are called the first-…

General Relativity and Quantum Cosmology · Physics 2007-11-08 Kouji Nakamura

We present a novel approach for calculating the gravitational self-force (GSF) in the Lorenz gauge, employing hyperboloidal slicing and spectral methods. Our method builds on the previous work that applied hyperboloidal surfaces and…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Benjamin Leather

Mini-extreme-mass-ratio inspirals (mini-EMRIs), composed of a stellar-mass compact object and a much lighter companion, are promising sources of continuous gravitational waves in the frequency band of ground-based interferometers such as…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Zi-Xuan Wang , Gong Cheng , Ju Chen , Huai-Ke Guo , Andrew L. Miller

Gravitational waves emitted during intermediate-mass-ratio inspirals (IMRIs) of intermediate-mass black holes (IMBHs) into supermassive black holes could represent a very interesting source for LISA. Similarly, IMRIs of stellar-mass compact…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Ilya Mandel , Jonathan R. Gair

Observations of gravitational-wave signals emitted by compact binary inspirals provide unique insights into their properties, but their analysis requires accurate and efficient waveform models. Intermediate- and extreme-mass-ratio inspirals…

The planned Laser Interferometer Space Antenna (LISA) is expected to detect gravitational wave signals from ~100 extreme-mass-ratio inspirals (EMRIs) of stellar-mass compact objects into massive black holes. The long duration and large…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan R Gair , Ilya Mandel , Linqing Wen

A scalar charged particle moving in a curved background spacetime will emit a field affecting its own motion; the resolving of this resulting motion is often referred to as the self-force problem. This also serves as a toy model for the…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Anna Heffernan

A recent construction of the electroweak theory, based on perturbative quantum gauge invariance alone, is extended to the case of more generations of fermions with arbitrary mixing. The conditions implied by second order gauge invariance…

High Energy Physics - Theory · Physics 2009-10-30 Andreas Aste , Michael Dütsch , Günter Scharf

Extreme mass ratio inspirals (EMRIs) take place when a stellar-mass black hole (BH) merges with a supermassive black hole (SMBH). The gravitational wave emission from such an event is expected to be detectable by the future Laser…

High Energy Astrophysical Phenomena · Physics 2023-09-20 Smadar Naoz , Zoltan Haiman

Future space-borne interferometers will be able to detect gravitational waves at $10^{-3}$ to $10^{-1}$ Hz. At this band extreme-mass-ratio inspirals (EMRIs) can be promising gravitational wave sources. In this paper, we investigate…

General Relativity and Quantum Cosmology · Physics 2019-10-30 Shuo Xin , Wen-Biao Han , Shu-Cheng Yang
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