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One of the important targets for the future space-based gravitational wave observatory LISA is extreme mass ratio inspirals (EMRIs), where long and accurate waveform modeling is necessary for detection and characterization. Modeling EMRI…

General Relativity and Quantum Cosmology · Physics 2023-10-11 David Bronicki , Alejandro Cárdenas-Avendaño , Leo C. Stein

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

The horizon of a classical black hole (BH), functioning as a one-way membrane, plays a vital role in the dynamic evolution of binary BHs, capable of absorbing fluxes entirely. Tidal heating, stemming from this phenomenon, exerts a notable…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Tieguang Zi , Chang-Qing Ye , Peng-Cheng Li

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

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

The future space-based gravitational wave observatories are expected to provide unprecedented opportunities to explore intricate characteristics of black hole binaries, particularly for extreme mass-ratio inspirals (EMRIs), in which a…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Tieguang Zi , Shailesh Kumar

We extend our previous Schwarzschild metric-based studies of gravitational--electromagnetic (GEM) coupling to rotating black holes by working directly in a curvature-based Newman--Penrose/Teukolsky framework on Kerr spacetime. Within a…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Fawzi Aly , Dejan Stojkovic

Extreme mass-ratio inspirals (EMRI) are one of the most sensitive probes of black hole spacetimes with gravitational wave measurements. In this work, we systematically analyze the dynamics of an EMRI system near orbital resonances, assuming…

General Relativity and Quantum Cosmology · Physics 2023-11-15 Zhen Pan , Huan Yang , Laura Bernard , Béatrice Bonga

Accurate modeling of gravitational waves from binary black hole mergers is essential for extracting their rich physics. A key detail for understanding the physics of mergers is predicting the precise time when the amplitude of the…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Anuj Kankani , Sean T. McWilliams

We study gravitational waves from a stellar-mass binary orbiting a spinning supermassive black hole, a system referred to as a binary extreme mass ratio inspiral (b-EMRI). We use Dixon's formalism to describe the stellar-mass binary as a…

General Relativity and Quantum Cosmology · Physics 2025-06-27 João S. Santos , Vitor Cardoso , José Natário , Maarten van de Meent

We continue the program of constructing, within the Effective-One-Body (EOB) approach, high accuracy, faithful analytic waveforms describing the gravitational wave signal emitted by inspiralling and coalescing binary black holes (BHs). We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Alessandro Nagar

Black hole perturbation theory for Kerr black holes is best studied in the Newman Penrose Formalism, in which gravitational waves are described as perturbations in the Weyl scalars $\psi_0$ and $\psi_4$, with the governing equation being…

General Relativity and Quantum Cosmology · Physics 2021-12-28 Manu Srivastava , Yanbei Chen

We present a prescription for computing gravitational waveforms for the inspiral, merger and ringdown of non-spinning eccentric binary black hole systems. The inspiral waveform is computed using the post-Newtonian expansion and the merger…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Ian Hinder , Lawrence E. Kidder , Harald P. Pfeiffer

We present techniques for successfully performing numerical relativity simulations of binary black holes with fourth-order accuracy. Our simulations are based on a new coding framework which currently supports higher order finite…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Y. Zlochower , J. G. Baker , M. Campanelli , C. O. Lousto

We develop new strategies to build numerical relativity surrogate models for eccentric binary black hole systems, which are expected to play an increasingly important role in current and future gravitational-wave detectors. We introduce a…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Tousif Islam , Vijay Varma , Jackie Lodman , Scott E. Field , Gaurav Khanna , Mark A. Scheel , Harald P. Pfeiffer , Davide Gerosa , Lawrence E. Kidder

The detection of Extreme Mass Ratio Inspirals (EMRIs) is intricate due to their complex waveforms, extended duration, and low signal-to-noise ratio (SNR), making them more challenging to be identified compared to compact binary…

Instrumentation and Methods for Astrophysics · Physics 2024-05-15 Tianyu Zhao , Yue Zhou , Ruijun Shi , Zhoujian Cao , Zhixiang Ren

As one step towards a systematic modeling of the electromagnetic (EM) emission from an inspiralling black hole binary we consider a simple scenario in which the binary moves in a uniform magnetic field anchored to a distant circumbinary…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Philipp Mösta , Carlos Palenzuela , Luciano Rezzolla , Luis Lehner , Shin'ichirou Yoshida , Denis Pollney

In linear perturbation theory for Kerr black holes, there are two equivalent formalisms, namely the Teukolsky and the Sasaki-Nakamura (SN) formalism. Typically, one defaults to the Teukolsky formalism, especially when calculating extreme…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Yucheng Yin , Rico K. L. Lo , Xian Chen

Mergers of stellar-mass black holes on highly eccentric orbits are among the targets for ground-based gravitational-wave detectors, including LIGO, VIRGO, and KAGRA. These sources may commonly form through gravitational-wave emission in…

High Energy Astrophysical Phenomena · Physics 2018-03-21 László Gondán , Bence Kocsis , Péter Raffai , Zsolt Frei

We present $\texttt{ENIGMA}$, a time domain, inspiral-merger-ringdown waveform model that describes non-spinning binary black holes systems that evolve on moderately eccentric orbits. The inspiral evolution is described using a consistent…