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The description of extreme-mass-ratio binary systems in the inspiral phase is a challenging problem in gravitational wave physics with significant relevance for the space interferometer LISA. The main difficulty lies in the evaluation of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Carlos F. Sopuerta , Pablo Laguna

Errors due to imperfect boundary conditions in numerical relativity simulations of binary black holes can produce unphysical reflections of gravitational waves which compromise the accuracy of waveform predictions, especially for…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Luisa T. Buchman , Matthew D. Duez , Marlo Morales , Mark A. Scheel , Tim M. Kostersitz , Andrew M. Evans , Keefe Mitman

We use artificial intelligence (AI) to learn and infer the physics of higher order gravitational wave modes of quasi-circular, spinning, non precessing binary black hole mergers. We trained AI models using 14 million waveforms, produced…

Instrumentation and Methods for Astrophysics · Physics 2022-10-28 Asad Khan , E. A. Huerta , Prayush Kumar

Measuring accurate long-duration gravitational waves from extreme mass ratio inspirals (EMRIs) could provide scientifically fruitful knowledge of massive black hole populations and robust tests for general relatively during the LISA…

General Relativity and Quantum Cosmology · Physics 2024-09-09 Charles Badger , José A. Font , Mairi Sakellariadou , Alejandro Torres-Forné

The possibility of forming gravitational-wave sources with high center-of-mass (c.m.) velocities in the vicinity of supermassive black holes requires us to develop a method of deriving the waveform in the observer's frame. Here we show that…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Han Yan , Xian Chen , Alejandro Torres-Orjuela

We present the FastEMRIWaveforms (FEW) package, a collection of tools to build and analyze extreme mass ratio inspiral (EMRI) waveforms. Here, we expand on the Physical Review Letter that introduced the first fast and accurate…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Michael L. Katz , Alvin J. K. Chua , Lorenzo Speri , Niels Warburton , Scott A. Hughes

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

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

Current matched-filter searches for gravitational waves from binary black-hole mergers compare the calibrated detector data to waveform templates that omit the higher-order mode content of the signals predicted by General Relativity.…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Koustav Chandra , Juan Calderón Bustillo , Archana Pai , Ian Harry

Within a generally covariant Hamiltonian framework of loop quantum gravity (LQG), two black hole models parameterized by a quantum correction $\zeta$ have recently been constructed. Using extreme mass-ratio inspirals (EMRIs) as…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Ruo-Ting Chen , Guoyang Fu , Dan Zhang , Jian-Pin Wu

The Regge-Wheeler-Zerilli (RWZ) wave-equation describes Schwarzschild-Droste black hole perturbations. The source term contains a Dirac distribution and its derivative. We have previously designed a method of integration in time domain. It…

General Relativity and Quantum Cosmology · Physics 2016-03-22 P. Ritter , S. Aoudia , A. Spallicci , S. Cordier

The tremendous challenge of comparing our theoretical models with the gravitational-wave observations in the new era of multimessenger astronomy requires accurate and fast numerical simulations of complicated physical systems described by…

As gravitational-wave (GW) observations of binary black holes are becoming a precision tool for physics and astronomy, several subdominant effects in the GW signals need to be accurately modeled. Previous studies have shown that neglecting…

General Relativity and Quantum Cosmology · Physics 2019-07-22 Ajit Kumar Mehta , Praveer Tiwari , Nathan K. Johnson-McDaniel , Chandra Kant Mishra , Vijay Varma , Parameswaran Ajith

We present new developments and comparisons of competing inspiral and waveform models for highly eccentric non-spinning extreme and intermediate mass-ratio inspirals (EMRIs and IMRIs). Starting from our high eccentricity self-force library,…

General Relativity and Quantum Cosmology · Physics 2021-10-15 Jonathan McCart , Thomas Osburn , Justin Y. J. Burton

Accurate extractions of the detected gravitational wave (GW) signal waveforms are essential to validate a detection and to probe the astrophysics behind the sources producing the GWs. This however could be difficult in realistic scenarios…

General Relativity and Quantum Cosmology · Physics 2021-09-20 Chayan Chatterjee , Linqing Wen , Foivos Diakogiannis , Kevin Vinsen

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…

Gravitational wave detection has opened up new avenues for exploring and understanding some of the fundamental principles of the universe. The optimal method for detecting modelled gravitational-wave events involves template-based matched…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Damon Beveridge , Alistair McLeod , Linqing Wen , Andreas Wicenec

Gravitational wave emission from extreme mass ratio binaries (EMRBs) should be detectable by the joint NASA-ESA LISA project, spurring interest in analytical and numerical methods for investigating EMRBs. We describe a discontinuous…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Scott E. Field , Jan S. Hesthaven , Stephen R. Lau

The RIT numerical relativity group is releasing the second public catalog of black-hole-binary waveforms \url{http://ccrg.rit.edu/~RITCatalog}. This release consists of 320 accurate simulations that include 46 precessing and 274…

General Relativity and Quantum Cosmology · Physics 2019-07-17 James Healy , Carlos O. Lousto , Jacob Lange , Richard O'Shaughnessy , Yosef Zlochower , Manuela Campanelli

The gravitational perturbations of a rotating Kerr black hole are notoriously complicated, even at the linear level. In 1973, Teukolsky showed that their physical degrees of freedom are encoded in two gauge-invariant Weyl curvature scalars…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Roman Berens , Trevor Gravely , Alexandru Lupsasca