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The gravitational wave signal from a compact object spiralling toward a massive black hole (MBH) is thought to be one of the most difficult sources to detect in the LISA data stream. Due to the large parameter space of possible signals and…

General Relativity and Quantum Cosmology · Physics 2009-06-25 Stanislav Babak , Jonathan R. Gair , Edward K. Porter

In this review article I attempt to summarise past and present-ongoing-work on the problem of the inspiral of a small body in the gravitational field of a much more massive Kerr black hole. Such extreme mass ratio systems, expected to occur…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kostas Glampedakis

In order to extract physical parameters from the waveform of an extreme-mass-ratio binary, one requires a second-order--accurate description of the motion of the smaller of the two objects in the binary. Using a method of matched asymptotic…

General Relativity and Quantum Cosmology · Physics 2013-05-09 Adam Pound

More recently, Fernandes \cite{Fernandes:2023vux} discovered analytic stationary and axially-symmetric black hole solutions within semiclassical gravity, driven by the trace anomaly. The study unveils some distinctive features of these…

General Relativity and Quantum Cosmology · Physics 2023-11-30 Tieguang Zi , Peng-Cheng Li

We estimate the accuracy in the measurement of the tidal Love number of a supermassive compact object through the detection of an extreme mass ratio inspiral~(EMRI) by the future LISA mission. A nonzero Love number would be a smoking gun…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Gabriel Andres Piovano , Andrea Maselli , Paolo Pani

This is the second in a series of papers which considers first-order gauge-invariant and covariant gravitational perturbations to locally rotationally symmetric (LRS) class II space-times. This paper shows how to decouple a complex…

General Relativity and Quantum Cosmology · Physics 2007-08-21 R. B. Burston

The gravitational-wave (GW) inspirals of stellar-mass compact objects onto a supermassive black hole (MBH), are some of the most promising GW sources detectable by next-generation space-born GW-detectors. The rates and characteristics of…

Astrophysics of Galaxies · Physics 2021-01-05 Yael Raveh , Hagai B. Perets

Gravitational waves from extreme mass-ratio inspirals (EMRIs), the inspirals of stellar-mass compact objects into massive black holes, are predicted to be observed by the Laser Interferometer Space Antenna (LISA). A sufficiently large…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Shashwat Singh , Christian E. A. Chapman-Bird , Christopher P L Berry , John Veitch

Second-order tensor perturbations induced by primordial fluctuations play a crucial role in probing small-scale physics, but gauge dependence of their energy density has remained a fundamental challenge in cosmological perturbation theory.…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-10 Chen Yuan , Yizhou Lu , Zu-Cheng Chen , Lang Liu

The extreme-mass-ratio inspirals (EMRIs) of stellar-mass compact objects into massive black holes are an important class of source for the future space-based gravitational-wave detector LISA. Detecting signals from EMRIs will require…

General Relativity and Quantum Cosmology · Physics 2017-08-11 Alvin J. K. Chua , Christopher J. Moore , Jonathan R. Gair

Along the general framework of the gauge-invariant perturbation theory developed in the papers [K. Nakamura, Prog. Theor. Phys. {\bf 110} (2003), 723; {\it ibid}, {\bf 113} (2005), 481.], we re-derive the second-order Einstein equations on…

General Relativity and Quantum Cosmology · Physics 2009-07-03 Kouji Nakamura

Extreme mass ratio inspirals (EMRIs) are compact binary systems characterized by a mass-ratio $q=m/M$ in the range $~10^{-9}-10^{-4}$ and represent primary gravitational wave (GW) sources for the forthcoming Laser Interferometer Space…

The capture of a stellar-mass compact object by a supermassive black hole and the subsequent inspiral (driven by gravitational radiation emission) constitute one of the most important sources of gravitational waves for space-based…

General Relativity and Quantum Cosmology · Physics 2012-10-02 Carlos F. Sopuerta

Extreme mass ratio inspirals (EMRIs), the inspirals of compact objects into supermassive black holes, are important gravitational wave sources for the Laser Interferometer Space Antenna (LISA). We study the performance of various…

General Relativity and Quantum Cosmology · Physics 2013-07-31 Vijay Varma , Ryuichi Fujita , Ashok Choudhary , Bala R. Iyer

Along the general framework of the gauge invariant perturbation theory developed in the papers [K. Nakamura, Prog. Theor. Phys. {\bf 110} (2003), 723; {\it ibid}, {\bf 113} (2005), 481.], we formulate the second order gauge invariant…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kouji Nakamura

Extreme mass ratio inspirals (EMRIs) occur when stellar-mass compact objects begin a gravitational wave (GW) driven inspiral into massive black holes. EMRI waveforms can precisely map the surrounding spacetime, making them a key target for…

Astrophysics of Galaxies · Physics 2023-04-27 Ismail Qunbar , Nicholas C. Stone

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

Future space-based laser interferometry experiments such as LISA are expected to detect $\cal O$(100--1000) stellar-mass compact objects (e.g., black holes, neutron stars) falling into massive black holes in the centers of galaxies, the…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-25 Otto A. Hannuksela , Kenny C. Y. Ng , Tjonnie G. F. Li

A compact object with a mass $\mathcal{O}(1 \sim 1000) M_{\odot}$, such as a black hole of stellar or primordial origin or a neutron star, and a much lighter exotic compact object with a subsolar mass could form a non-standard mini extreme…

Instrumentation and Methods for Astrophysics · Physics 2022-05-24 Huai-Ke Guo , Andrew Miller

Using a rigorous method of matched asymptotic expansions, I derive the equation of motion of a small, compact body in an external vacuum spacetime through second order in the body's mass (neglecting effects of internal structure). The…

General Relativity and Quantum Cosmology · Physics 2012-09-05 Adam Pound