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We present results from a new code for computing gravitational perturbations of the Kerr geometry. This new code carefully maintains high precision to allow us to obtain high-accuracy solutions for the gravitational quasinormal modes of the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Gregory B. Cook , Maxim Zalutskiy

We explore the precision with which the Einstein Telescope (ET) will be able to measure the parameters of intermediate-mass-ratio inspirals (IMRIs). We calculate the parameter estimation errors using the Fisher Matrix formalism and present…

General Relativity and Quantum Cosmology · Physics 2015-03-17 E. A. Huerta , Jonathan R. Gair

We present realistic eccentricity distributions for extreme mass ratio inspirals (EMRIs) forming via the two-body relaxation channel in nuclear star clusters, tracking their evolution up to the final plunge onto the central Schwarzschild…

High Energy Astrophysical Phenomena · Physics 2026-03-02 Davide Mancieri , Luca Broggi , Morgan Vinciguerra , Alberto Sesana , Matteo Bonetti

Although the gravitational waves observed by advanced LIGO and Virgo are consistent with compact binaries in a quasi-circular inspiral prior to coalescence, eccentric inspirals are also expected to occur in Nature. Due to their complexity,…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Blake Moore , Travis Robson , Nicholas Loutrel , Nicolas Yunes

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

Extreme mass ratio in-spirals (EMRIs) are candidate events for gravitational wave detection in the millihertz range (by detectors like LISA and eLISA). These events involve a stellar-mass black hole, or a similar compact object, descending…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Deyan P. Mihaylov , Jonathan Gair

This paper aims to establish a framework for extreme learning machines (ELMs) on general hypercomplex algebras. Hypercomplex neural networks are machine learning models that feature higher-dimension numbers as parameters, inputs, and…

Machine Learning · Computer Science 2022-05-27 Guilherme Vieira , Marcos Eduardo Valle

MRI systems are traditionally engineered to produce close to idealized performance, enabling a simplified pulse sequence design philosophy. An example of this is control of eddy currents produced by gradient fields; usually these are…

Future mHz gravitational wave (GW) interferometers will precisely probe massive black hole environments, such as accretion discs, cold dark matter overdensities, and clouds of ultralight bosons, as long as we can accurately model the…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Rodrigo Vicente , Theophanes K. Karydas , Gianfranco Bertone

In order to derive the precise gravitational waveforms for extreme mass ratio inspirals (EMRI), we develop a formulation for the second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The…

General Relativity and Quantum Cosmology · Physics 2008-12-25 Carlos O. Lousto , Hiroyuki Nakano

Strategies to model the inspiral, merger and ringdown gravitational waveform of coalescing binaries are restricted in parameter space by the coverage of available numerical-relativity simulations. When more numerical waveforms become…

General Relativity and Quantum Cosmology · Physics 2019-01-10 Yoshinta Eka Setyawati , Frank Ohme , Sebastian Khan

Orbital resonances in extreme-mass-ratio inspirals (EMRIs) have been proven to be a key feature for accurate gravitational-wave template modeling. Decades of research have led to schemes that can not only model the adiabatic inspiral of…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Edoardo Levati , Alejandro Cárdenas-Avendaño , Kyriakos Destounis , Paolo Pani

Extreme mass ratio inspirals (EMRIs) provide unique probes of near-horizon dissipation through the tidal heating. We present a full Bayesian analysis of tidal heating in equatorial eccentric EMRIs by performing injection-recovery studies…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Zhong-Wu Xia , Sheng Long , Qiyuan Pan , Jiliang Jing , Wei-Liang Qian

Extreme-Mass-Ratio Inspirals (EMRIs) are one of the most promising sources of gravitational waves (GWs) for space-based detectors like the Laser Interferometer Space Antenna (LISA). EMRIs consist of a compact stellar object orbiting around…

General Relativity and Quantum Cosmology · Physics 2012-06-05 Priscilla Canizares , Jonathan R. Gair , Carlos F. Sopuerta

Fast coverage of k-space is a major concern to speed up data acquisition in Magnetic Resonance Imaging (MRI) and limit image distortions due to long echo train durations. The hardware gradient constraints (magnitude, slew rate) must be…

Optimization and Control · Mathematics 2014-12-31 Nicolas Chauffert , Pierre Weiss , Jonas Kahn , Philippe CIUCIU

We propose a radical advance in Magnetic Resonance Imaging. MRI remains slow because it requires successive applications of magnetic field gradients to encode for spatial location. Parallel MRI accelerates imaging by permitting…

Medical Physics · Physics 2018-09-19 Michael Hutchinson , Ulrich Raff , Luis Osorio

Extreme-mass-ratio inspirals (EMRIs) carry valuable information about their surrounding astrophysical environments. Over the course of their long-term evolution, interactions between the secondary object and the accretion disk can produce…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Jian-Dong Liu , Wen-Biao Han , Hiromichi Tagawa

The accuracy of time-domain solutions of the inhomogeneous Teukolsky equation is improved significantly. Comparing energy fluxes in gravitational waves with highly accurate frequency-domain results for circular equatorial orbits in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lior M. Burko , Gaurav Khanna

We study gravitational perturbations on the near-horizon region of extremal and near-extremal rotating black holes in a general higher-derivative extension of Einstein gravity. We find a decoupled modified Teukolsky equation that rules the…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Pablo A. Cano , Marina David

One of the primary research aims of the Laser Interferometer Space Antenna (LISA) mission is to comprehensively map the Kerr spacetime, a fundamental pursuit in the realm of general relativity. To achieve this goal, it is essential to…

General Relativity and Quantum Cosmology · Physics 2024-10-14 Shailesh Kumar