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We present an algorithm for calculating the metric perturbations and gravitational self-force for extreme-mass-ratio inspirals (EMRIs) with eccentric orbits. The massive black hole is taken to be Schwarzschild and metric perturbations are…

General Relativity and Quantum Cosmology · Physics 2014-12-12 Thomas Osburn , Erik Forseth , Charles Evans , Seth Hopper

Extreme-mass-ratio inspirals, in which a stellar-mass compact object spirals into a supermassive black hole, are prime candidates for detection with space-borne milliHertz gravitational wave detectors, similar to the Laser Interferometer…

General Relativity and Quantum Cosmology · Physics 2011-09-15 Jonathan R. Gair , Nicolas Yunes

Using an analytic, static, and spherically symmetric metric for a Schwarzschild black hole immersed in a dark matter (DM) halo with the Hernquist-type profile, we derive analytic expressions for the orbital period and precession of…

General Relativity and Quantum Cosmology · Physics 2024-11-01 Ning Dai , Yungui Gong , Yang Zhao , Tong Jiang

One of the most exciting potential sources of gravitational waves for low-frequency, space-based gravitational wave (GW) detectors such as the proposed Laser Interferometer Space Antenna (LISA) is the inspiral of compact objects into…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Stanislav Babak , Hua Fang , Jonathan R. Gair , Kostas Glampedakis , Scott A. Hughes

Extreme mass-ratio inspirals (EMRIs) are long-duration gravitational-wave sources in which a compact object gradually spirals into a massive black hole. Their formation is governed by the interplay between stochastic angular-momentum…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Chen Feng , Yong Tang

A binary extreme-mass-ratio inspiral (b-EMRI) is a hierarchical triple system consisting of a stellar-mass binary black hole (BBH) orbiting a central Kerr supermassive black hole (SMBH). Although predicted by several astrophysical models,…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Yucheng Yin , Josh Mathews , Alvin J. K. Chua , Xian Chen

Extreme mass-ratio inspirals (EMRIs) are among the key targets for future space-based gravitational wave detectors. The gravitational waveforms emitted by EMRIs are highly sensitive to the orbital dynamics of the small compact object, which…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Soroush Zare , Tao Zhu , Luis M. Nieto , Shuo Lu , Hassan Hassanabadi

Extreme Mass Ratio Inspirals (EMRIs) are important sources for space-borne gravitational wave detectors, such as LISA (Laser Interferometer Space Antenna) and TianQin. Previous EMRI rate studies have focused on the "loss cone" scenario,…

High Energy Astrophysical Phenomena · Physics 2021-06-16 Zhen Pan , Huan Yang

Mounting evidence indicates that some of the gravitational wave signals observed by the LIGO/Virgo/KAGRA observatories might arise from eccentric compact object binaries, increasing the urgency for accurate waveform models for such systems.…

Overlapping signals represent one of the major data analysis challenges in next-generation gravitational wave detectors. We leverage Transformers and Normalizing Flows, state-of-the-art machine learning algorithms, to address the parameter…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Lucia Papalini , Federico De Santi , Massimiliano Razzano , Ik Siong Heng , Elena Cuoco

Eccentric binaries are key targets for current and future gravitational wave (GW) detectors, offering unique insights into the formation and environments of compact binaries. However, accurately and efficiently modeling eccentric waveforms…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Gonzalo Morras

The accurate computation of quasinormal modes from rotating black holes beyond general relativity is crucial for testing fundamental physics with gravitational waves. In this study, we assess the accuracy of the eikonal and post-Kerr…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Ciro De Simone , Sebastian H. Völkel , Kostas D. Kokkotas , Vittorio De Falco , Salvatore Capozziello

Extreme-mass-ratio inspirals (EMRIs), stellar-mass compact objects (SCOs) inspiralling into a massive black hole, are one of the main sources of gravitational waves expected for the Laser Interferometer Space Antenna (LISA). To extract the…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Priscilla Canizares , Carlos F. Sopuerta

Compressed Sensing Magnetic Resonance Imaging (CS-MRI) significantly accelerates MR data acquisition at a sampling rate much lower than the Nyquist criterion. A major challenge for CS-MRI lies in solving the severely ill-posed inverse…

Image and Video Processing · Electrical Eng. & Systems 2019-10-30 Risheng Liu , Yuxi Zhang , Shichao Cheng , Zhongxuan Luo , Xin Fan

Upgrades to current gravitational wave detectors for the next observation run and upcoming third-generation observatories, like the Einstein telescope, are expected to have enormous improvements in detection sensitivities and compact object…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Suyog Garg , Feng-Li Lin , Kipp Cannon

Building upon several recent advances in the development of effective-one-body models for spin-aligned eccentric binaries with individual masses $(m_1,m_2)$ we introduce a new EOB waveform model that aims at describing inspiralling binaries…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Alessandro Nagar , Simone Albanesi

Adaptive mesh refinement efficiently facilitates the computation of gravitational waveforms in numerical relativity. However, determining precisely when, where, and to what extent to refine when solving the Einstein equations poses…

General Relativity and Quantum Cosmology · Physics 2025-07-24 William K. Black , David Neilsen , Eric W. Hirschmann , David F. Van Komen , Milinda Fernando

We present a first complete implementation of an effective-one-body (EOB) model for extreme-mass-ratio inspirals (EMRIs) that incorporates aligned spins (on both the primary and the secondary) as well as orbital eccentricity. The model…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Angelica Albertini , Rossella Gamba , Alessandro Nagar , Sebastiano Bernuzzi

Gravitational-wave approximants are essential for gravitational-wave astronomy, allowing the coverage binary black hole parameter space for inference or match filtering without costly numerical relativity (NR) simulations, but generally…

Endmember (EM) spectral variability can greatly impact the performance of standard hyperspectral image analysis algorithms. Extended parametric models have been successfully applied to account for the EM spectral variability. However, these…

Computer Vision and Pattern Recognition · Computer Science 2019-11-22 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez
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