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We present a new method for extracting the instantaneous orbital axis only from gravitational wave strains of precessing binary systems observed from a particular observer direction. This method enables us to reconstruct the co-precessing…

General Relativity and Quantum Cosmology · Physics 2018-02-20 Kyohei Kawaguchi , Koutarou Kyutoku , Hiroyuki Nakano , Masaru Shibata

Using black hole perturbation theory, we calculate the gravitational waves produced by test particles moving on bound geodesic orbits about rotating black holes. The orbits we consider are generic - simultaneously eccentric and inclined.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steve Drasco , Scott A. Hughes

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

We engage with the challenge of calculating the waveforms of gravitational waves emitted by spinless binary black hole merger in extreme mass-ratio limit. We model the stellar-mass black hole as a test-particle, initially on a circular…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Ilan Strusberg , Barak Rom , Re'em Sari

We present a new approach to solve the 2+1 Teukolsky equation for gravitational perturbations of a Kerr black hole. Our approach relies on a new horizon penetrating, hyperboloidal foliation of Kerr spacetime and spatial compactification. In…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Enno Harms , Sebastiano Bernuzzi , Alessandro Nagar , Anil Zenginoglu

We present and assess a Bayesian method to interpret gravitational wave signals from binary black holes. Our method directly compares gravitational wave data to numerical relativity simulations. This procedure bypasses approximations used…

Perturbative calculations of gravitational radiation near the horizons of rotating black holes in the frequency domain have been plagued by divergence issues. We resolve this longstanding obstacle by constructing a nonsingular source term…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Rico K. L. Lo , Yucheng Yin

We present analytic calculations of gravitational waves from a particle orbiting a black hole. We first review the Teukolsky formalism for dealing with the gravitational perturbation of a black hole. Then we develop a systematic method to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino , Misao Sasaki , Masaru Shibata , Hideyuki Tagoshi , Takahiro Tanaka

We extract gravitational waveforms from numerical simulations of black hole binaries computed using the Spectral Einstein Code. We compare two extraction methods: direct construction of the Newman-Penrose (NP) scalar $\Psi_4$ at a finite…

General Relativity and Quantum Cosmology · Physics 2013-12-16 Nicholas W. Taylor , Michael Boyle , Christian Reisswig , Mark A. Scheel , Tony Chu , Lawrence E. Kidder , Bela Szilagyi

We compute the energy flux of the gravitational waves radiated by a particle of mass $\m$ in circular orbits around a rotating black hole of mass $M$ up to the 11th post-Newtonian order (11PN), i.e. $v^{22}$ beyond the leading Newtonian…

General Relativity and Quantum Cosmology · Physics 2015-03-27 Ryuichi Fujita

Motivated by the desire to understand the leading order nonlinear gravitational wave interactions around arbitrarily rapidly rotating Kerr black holes, we describe a numerical code designed to compute second order vacuum perturbations on…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Justin L. Ripley , Nicholas Loutrel , Elena Giorgi , Frans Pretorius

We compute and analyze the gravitational waveform emitted to future null infinity by a system of two black holes in the large mass ratio limit. We consider the transition from the quasi-adiabatic inspiral to plunge, merger, and ringdown.…

General Relativity and Quantum Cosmology · Physics 2011-12-07 Sebastiano Bernuzzi , Alessandro Nagar , Anil Zenginoglu

We extend our research on the energy flux and waveform characteristics of gravitational waves generated by merging nonspinning binary black holes through self-consistent effective one-body theory \cite{L2023} to include binary systems with…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Weike Deng , Sheng Long , Jiliang Jing

We extract the Weyl scalars $\Psi_0$ and $\Psi_4$ in the quasi-Kinnersley tetrad by finding initially the (gauge--, tetrad--, and background--independent) transverse quasi-Kinnersley frame. This step still leaves two undetermined degrees of…

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

The fundamental process of detecting and examining the polarization modes of gravitational waves plays a pivotal role in enhancing our grasp on the precise mechanisms behind their generation. A thorough investigation is essential for…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Shailesh Kumar , Rishabh Kumar Singh , Abhishek Chowdhuri , Arpan Bhattacharyya

We present the second release of the $\texttt{GR-Athena++}$ waveform catalog, comprising four new quasi-circular, non-precessing, spinning binary black hole simulations. These simulations are performed at high resolutions and represent a…

General Relativity and Quantum Cosmology · Physics 2026-03-09 Estuti Shukla , Alireza Rashti , Rossella Gamba , David Radice , Koustav Chandra

The detection and subsequent inference of binary black hole signals rely heavily on the accuracy of the waveform model employed. In the highly non-linear, dynamic, and strong-field regime near merger, these waveforms can only be accurately…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Alireza Rashti , Rossella Gamba , Koustav Chandra , David Radice , Boris Daszuta , William Cook , Sebastiano Bernuzzi

We present a new method for generating the nonlinear gravitational wavetrain from the late inspiral (pre-coalescence) phase of a binary neutron star system by means of a numerical evolution calculation in full general relativity. In a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Matthew D. Duez , Thomas W. Baumgarte , Stuart L. Shapiro

We present a study on the energy radiation rate and waveforms of the gravitational wave generated by coalescing spinless binary systems up to the third post-Minkowskian approximation in the effective one-body theory. To derive an analytical…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Sheng Long , Weike Deng , Jiliang Jing

This work is a follow-up to the paper, "Numerical Relativity as a Tool for Studying the Early Universe". In this article, we determine if cosmological gravitational waves can be accurately extracted from a dynamical spacetime using an…

General Relativity and Quantum Cosmology · Physics 2017-04-24 David Garrison , Christopher Ramirez