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In the $\Lambda$CDM framework, presenting nonrelativistic matter inhomogeneities as discrete massive particles, we develop the second-order cosmological perturbation theory. Our approach relies on the weak gravitational field limit. The…

General Relativity and Quantum Cosmology · Physics 2017-09-11 Ruslan Brilenkov , Maxim Eingorn

The ``close limit,'' a method based on perturbations of Schwarzschild spacetime, has proved to be a very useful tool for finding approximate solutions to models of black hole collisions. Calculations carried out with second order…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Garat , R. H. Price

The gravitational wave (GW) signals from extreme mass-ratio inspirals (EMRIs), a key target for the Laser Interferometer Space Antenna (LISA), will be affected in the presence of dark matter (DM) halos. In this paper we explore whether the…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Sara Gliorio , Emanuele Berti , Andrea Maselli , Nicholas Speeney

The field of gravitational waves is rapidly progressing due to the noticeable advancements in the sensitivity of gravitational-wave detectors that has enabled the detection prospects of binary black hole mergers. Extreme mass ratio inspiral…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Mostafizur Rahman , Shailesh Kumar , Arpan Bhattacharyya

Inspirals of stellar mass compact objects into massive black holes are an important source for future gravitational wave detectors such as Advanced LIGO and LISA. Detection of these sources and extracting information from the signal relies…

General Relativity and Quantum Cosmology · Physics 2009-02-20 Tanja Hinderer , Eanna E. Flanagan

We examine the importance of second order corrections to linearized cosmological perturbation theory in an inflationary background, taken to be a spatially flat FRW spacetime. The full second order problem is solved in the sense that we…

General Relativity and Quantum Cosmology · Physics 2009-11-11 B. Losic , W. G. Unruh

Gauge invariant treatments of the second order cosmological perturbation in a four dimensional homogeneous isotropic universe filled with the perfect fluid are completely formulated without any gauge fixing. We derive all components of the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Kouji Nakamura

Extreme-Mass-Ratio Inspirals (EMRIs) are one of the key targets for future space-based gravitational wave detectors, such as LISA. The scientific potential of these sources can only be fully realized with fast and accurate waveform models.…

General Relativity and Quantum Cosmology · Physics 2025-04-29 Hassan Khalvati , Alessandro Santini , Francisco Duque , Lorenzo Speri , Jonathan Gair , Huan Yang , Richard Brito

In general-relativistic perturbation theory, a point mass accelerates away from geodesic motion due to its gravitational self-force. Because the self-force is small, one can often approximate the motion as geodesic. However, it is well…

General Relativity and Quantum Cosmology · Physics 2016-08-23 Adam Pound

The forthcoming space-based gravitational-wave observatory Laser Interferometer Space Antenna (LISA) should enable the detection of Extreme Mass Ratio Inspirals (EMRIs), in which a stellar-mass compact object gradually inspirals into a…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Michal Stratený , Georgios Lukes-Gerakopoulos , Ondřej Zelenka

Gravitational waves provide a unique probe of the strong-field regime of gravity, offering access to physics beyond the classical black hole paradigm. We explore how space-based observations of extreme-mass-ratio inspirals (EMRIs) by the…

High Energy Physics - Theory · Physics 2026-04-10 Pablo F. Muguruza , Carlos F. Sopuerta

Extreme mass-ratio inspirals (EMRIs) are binary systems where a compact object slowly inspirals into its much larger compact partner. Since we anticipate such systems to exist within and be dynamically influenced by the galactic center…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Makana Silva , Harrison G. Blake-Goszyk , Christopher M. Hirata

A point particle of small mass m moves in free fall through a background vacuum spacetime metric g_ab and creates a first-order metric perturbation h^1ret_ab that diverges at the particle. Elementary expressions are known for the singular…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Steven Detweiler

The equatorial symmetry of the Kerr black hole is generically broken in models of quantum gravity. Nevertheless, most phenomenological models start from the assumption of equatorial symmetry, and little attention has been given to the…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Kwinten Fransen , Daniel R. Mayerson

Extreme-mass-ratio-inspiral observations from future space-based gravitational-wave detectors such as LISA will enable strong-field tests of general relativity with unprecedented precision, but at prohibitive computational cost if existing…

General Relativity and Quantum Cosmology · Physics 2018-06-07 Alvin J. K. Chua , Sonke Hee , Will J. Handley , Edward Higson , Christopher J. Moore , Jonathan R. Gair , Michael P. Hobson , Anthony N. Lasenby

The future space mission LISA will observe a wealth of gravitational-wave sources at millihertz frequencies. Of these, the extreme-mass-ratio inspirals of compact objects into massive black holes are the only sources that combine the…

General Relativity and Quantum Cosmology · Physics 2021-02-08 Alvin J. K. Chua , Michael L. Katz , Niels Warburton , Scott A. Hughes

We consider the importance of the second-order dissipative self force for gravitational wave dephasing for an extreme or intermediate mass ratio system moving along a quasi-circular Schwarzschild orbit. For the first-order self force we use…

General Relativity and Quantum Cosmology · Physics 2013-07-12 Lior M. Burko , Gaurav Khanna

This work elaborates on a detailed analysis of the novel characteristics of gravitational waves (GWs) generated by extreme mass ratio inspirals (EMRIs) within the framework of modified gravity (MOG). Our study begins by exploring the…

General Relativity and Quantum Cosmology · Physics 2024-08-20 Xiongying Qiao , Zhong-Wu Xia , Qiyuan Pan , Hong Guo , Wei-Liang Qian , Jiliang Jing

The space-based Laser Interferometer Space Antenna (LISA) will be able to observe the gravitational-wave signals from systems comprised of a massive black hole and a stellar-mass compact object. These systems are known as extreme-mass-ratio…

The inspiral of stellar compact objects into massive black holes, usually known as extreme-mass-ratio inspirals (EMRIs), is one of the most important sources of gravitational-waves for the future Laser Interferometer Space Antenna (LISA).…

General Relativity and Quantum Cosmology · Physics 2010-01-28 Carlos F. Sopuerta , Nicolas Yunes
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