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We review some of the recent dramatic developments in the fully nonlinear simulation of generic, highly-precessing, black-hole binaries, and introduce a new approach for generating hybrid post-Newtonian / Numerical waveforms for these…

General Relativity and Quantum Cosmology · Physics 2010-05-27 Manuela Campanelli , Carlos O. Lousto , Bruno C. Mundim , Hiroyuki Nakano , Yosef Zlochower , Hans-Peter Bischof

Binary black hole spins are among the key observables for gravitational wave astronomy. Among the spin parameters, their orientations within the orbital plane, $\phi_1$, $\phi_2$ and $\Delta \phi=\phi_1-\phi_2$, are critical for…

High Energy Astrophysical Phenomena · Physics 2022-01-20 Vijay Varma , Maximiliano Isi , Sylvia Biscoveanu , Will M. Farr , Salvatore Vitale

Understanding the predictions of general relativity for the dynamical interactions of two black holes has been a long-standing unsolved problem in theoretical physics. Black-hole mergers are monumental astrophysical events, releasing…

General Relativity and Quantum Cosmology · Physics 2011-09-29 Joan M. Centrella , John G. Baker , Bernard J. Kelly , James R. van Meter

The study of unbound binary-black-hole encounters provides a gauge-invariant approach to exploring strong-field gravitational interactions in two-body systems, which can subsequently inform waveform models for bound orbits. In this work, we…

We introduce deep learning models to estimate the masses of the binary components of black hole mergers, $(m_1,m_2)$, and three astrophysical properties of the post-merger compact remnant, namely, the final spin, $a_f$, and the frequency…

General Relativity and Quantum Cosmology · Physics 2021-12-21 Hongyu Shen , E. A. Huerta , Eamonn O'Shea , Prayush Kumar , Zhizhen Zhao

Black-hole binary spin precession admits equilibrium solutions corresponding to systems with (anti-) aligned spins. Among these, binaries in the up-down configuration, where the spin of the heavier (lighter) black hole is co- (counter-)…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Viola De Renzis , Davide Gerosa , Matthew Mould , Riccardo Buscicchio , Lorenzo Zanga

We study the gravitational wave emission of three compact objects using post-Newtonian (PN) equations of motion derived from the Arnowitt-Deser-Misner Hamiltonian formulation, where we include (for the first time in this context) terms up…

General Relativity and Quantum Cosmology · Physics 2011-08-24 Pablo Galaviz , Bernd Bruegmann

The X-ray light curves of accreting black holes and neutron stars in binary systems show various types of quasi-periodic oscillations (QPOs), the origin of which is still debated. The Relativistic Precession Model identifies the QPO…

High Energy Astrophysical Phenomena · Physics 2023-07-11 S. E Motta , T. Belloni , L. Stella , G. Pappas , J. A. Casares , T. Muñoz-Darias , M. A. P. Torres , I. V. Yanes-Rizo

We study the dynamics of electrically charged black-hole binaries and their gravitational-wave emission during the inspiral phase. Within the post-Newtonian framework, we derive the conservative and dissipative dynamics up to second order…

High Energy Physics - Theory · Physics 2026-03-19 Andrea Placidi , Elisa Grilli , Marta Orselli , Matteo Pegorin , Nicola Bartolo , Pierpaolo Mastrolia

The short gravitational wave signal from the merger of compact binaries encodes a surprising amount of information about the strong-field dynamics of merger into frequencies accessible to ground-based interferometers. In this paper we…

General Relativity and Quantum Cosmology · Physics 2013-03-14 R. O'Shaughnessy , L. London , J. Healy , D. Shoemaker

Understanding the formation and evolution of stellar-mass binary black holes (BBHs) requires a thorough investigation of the key physical processes involved. While one pathway involves the isolated evolution of massive binary stars,…

High Energy Astrophysical Phenomena · Physics 2025-09-16 M. Paola Vaccaro

Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thierry Mora , Clifford M. Will

We study the orbital dynamics and relativistic precession effects in the spacetime of rotating braneworld black holes within the Randall-Sundrum framework. For test particles on spherical orbits, we analyze three conserved…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Hui-Min Wang , Kai Liao , Shao-Wen Wei

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

This paper presents a post-Newtonian (PN) template family of gravitational waveforms from inspiralling compact binaries with non-precessing spins, where the spin effects are described by a single "reduced-spin" parameter. This template…

General Relativity and Quantum Cosmology · Physics 2011-10-20 P. Ajith

Starting with a post-Newtonian description of compact binary systems, we derive a set of equations that describes the evolution of the orbital angular momentum and both spin vectors during inspiral. We find regions of phase space that…

Astrophysics · Physics 2009-11-10 Jeremy D. Schnittman

Accurate modeling of compact binaries is essential for gravitational-wave detection and parameter estimation, with spin being an important effect to include in waveform models. In this paper, we derive new post-Newtonian (PN) results for…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Yilber Fabian Bautista , Mohammed Khalil , Matteo Sergola , Chris Kavanagh , Justin Vines

Gravitational waves emitted by black hole binary inspiral and mergers enable unprecedented strong-field tests of gravity, requiring accurate theoretical modelling of the expected signals in extensions of General Relativity. In this paper we…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Banafsheh Shiralilou , Tanja Hinderer , Samaya Nissanke , Néstor Ortiz , Helvi Witek

Spin precession equations including the spin-orbit (SO), spin-spin (SS), quadrupole-monopole (QM) and magnetic dipole-magnetic dipole (DD) leading-order interactions are derived for compact binary systems in order to investigate the DD…

General Relativity and Quantum Cosmology · Physics 2021-09-23 Balázs Mikóczi

It is now possible to compute linear in mass-ratio terms in the post-Newtonian (PN) expansion for compact binaries to very high orders using black hole perturbation theory applied to various invariants. For instance, a computation of the…

General Relativity and Quantum Cosmology · Physics 2015-08-12 Nathan K. Johnson-McDaniel , Abhay G. Shah , Bernard F. Whiting
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