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The self-force is the leading method in modelling waveforms for extreme mass ratio inspirals, a key target of ESA's future space-based gravitational wave detector LISA. In modelling these systems, one approximates the smaller body as a…

General Relativity and Quantum Cosmology · Physics 2022-09-13 Anna Heffernan

Extreme mass-ratio inspirals (EMRIs), namely binary systems composed of a massive black hole and a compact stellar-mass object, are anticipated to be among the gravitational wave (GW) sources detected by the Laser Interferometer Space…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-23 Chang Liu , Danny Laghi , Nicola Tamanini

Extreme mass-ratio inspirals (EMRIs) are one of the most highly anticipated sources of gravitational radiation novel to detection by millihertz space-based detectors. To accurately estimate the parameters of EMRIs and perform precision…

General Relativity and Quantum Cosmology · Physics 2023-05-22 Leanne Durkan , Niels Warburton

It is not currently clear how important it will be to include conservative self-force (SF) corrections in the models for extreme-mass-ratio inspiral (EMRI) waveforms that will be used to detect such signals in LISA (Laser Interferometer…

General Relativity and Quantum Cosmology · Physics 2010-09-30 E. A. Huerta , Jonathan R Gair

Recent years have seen the first production of "post-adiabatic" gravitational-waveform models based on second-order gravitational self-force theory. These models rely on calculations of an effective source in the perturbative second-order…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Samuel D. Upton , Barry Wardell , Adam Pound , Niels Warburton , Leor Barack

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

Extreme-Mass-Ratio Inspirals (EMRIs) are one of the main sources of gravitational waves expected in the low-frequency band, where space-based detectors like Laser Interferometer Space Antenna (LISA) will operate. The large number of…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Pablo F. Muguruza , Carlos F. Sopuerta

Scientific analysis for the gravitational-wave detector LISA will require theoretical waveforms from extreme-mass-ratio inspirals (EMRIs) that extensively cover all possible orbital and spin configurations around astrophysical Kerr black…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Soichiro Isoyama , Ryuichi Fujita , Alvin J. K. Chua , Hiroyuki Nakano , Adam Pound , Norichika Sago

The measurement of multipole moments of astrophysical objects through gravitational wave (GW) observations provides a novel way to distinguish black holes from other astrophysical objects. This paper studies the gravitational wave radiation…

General Relativity and Quantum Cosmology · Physics 2023-01-10 Mostafizur Rahman , Arpan Bhattacharyya

Extreme mass-ratio inspirals (EMRIs), comprising a stellar-mass compact object (CO) orbiting a supermassive black hole (BH), are key targets for future space-based gravitational-wave (GW) observatories. Incorporating the spin of the…

High Energy Astrophysical Phenomena · Physics 2026-03-26 Qiuxin Cui , Wen-Biao Han

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

The gravitational waves emitted by binary systems with extreme-mass ratios carry unique astrophysical information that can only be detected by space-based detectors like eLISA. To that end, a very accurate modelling of the system is…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Priscilla Canizares , Carlos F. Sopuerta

The inspiral of a stellar-mass compact object into a massive ($\sim 10^{4}$-$10^{7} M_{\odot}$) black hole produces an intricate gravitational-wave signal. Due to the extreme-mass ratios involved, these systems complete $\sim…

The second-order gravitational self-force on a small body is an important problem for gravitational-wave astronomy of extreme mass-ratio inspirals. We give a first-principles derivation of a prescription for computing the first and second…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Samuel E. Gralla

The motion of a small compact object in a background spacetime is investigated in the context of a model nonlinear scalar field theory. This model is constructed to have a perturbative structure analogous to the General Relativistic…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Chad R. Galley

Second-order self-force computations, which will be essential in modeling extreme-mass-ratio inspirals, involve two major new difficulties that were not present at first order. One is the problem of large scales, discussed in [Phys. Rev. D…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Jeremy Miller , Barry Wardell , Adam Pound

The inspirals of stellar-mass compact objects into supermassive black holes constitute some of the most important sources for LISA. Detection of these sources using fully coherent matched filtering is computationally intractable, so…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jonathan Gair , Linqing Wen

Extreme mass-ratio inspirals (EMRIs) are the most potential sources detectable by the Laser Interferometer Space Antenna (LISA). To analyze the influence of higher harmonics on parameter estimation for EMRIs efficiently, we use the waveform…

General Relativity and Quantum Cosmology · Physics 2023-08-31 Chao Zhang , Ning Dai , Dicong Liang

We consider the evolution of relativistic perturbations in the Einstein-de Sitter cosmological model, including second-order effects. The perturbations are considered in two different settings: the widely used synchronous gauge and the…

Astrophysics · Physics 2009-10-30 S. Matarrese , S. Mollerach , M. Bruni

We produce gravitational waveforms for nonspinning compact binaries undergoing a quasicircular inspiral. Our approach is based on a two-timescale expansion of the Einstein equations in second-order self-force theory, which allows…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Barry Wardell , Adam Pound , Niels Warburton , Jeremy Miller , Leanne Durkan , Alexandre Le Tiec