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Self-force methods can be applied in calculations of the scatter angle in two-body hyperbolic encounters, working order by order in the mass ratio (assumed small) but with no recourse to a weak-field approximation. This, in turn, can inform…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Oliver Long

We study the general relativistic periastron advance in spinning black hole binaries on quasi-circular orbits, with spins aligned or anti-aligned with the orbital angular momentum, using numerical-relativity simulations, the post-Newtonian…

We propose that the merger rate of primordial black hole (PBH) binaries can be a probe of Hubble parameter by constraining PBH mass function in the redshifted mass distribution of PBH binaries. In next-generation gravitational wave (GW)…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-13 Qianhang Ding

Certain numerical frameworks used for the evolution of binary black holes make use of a gamma driver, which includes a damping factor. Such simulations typically use a constant value for damping. However, it has been found that very…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Doreen Mueller , Jason Grigsby , Bernd Bruegmann

We analytically compute, to linear order in the mass-ratio, the "geodetic" spin precession frequency of a small spinning body orbiting a large (non-spinning) body to the eight-and-a-half post-Newtonian order, thereby extending previous…

General Relativity and Quantum Cosmology · Physics 2014-07-23 Donato Bini , Thibault Damour

We revisit the problem of predicting the spin magnitude and direction of the black hole resulting from the merger of two black holes with arbitrary masses and spins inspiralling in quasi-circular orbits. We do this by analyzing a catalog of…

General Relativity and Quantum Cosmology · Physics 2016-07-13 Fabian Hofmann , Enrico Barausse , Luciano Rezzolla

As the sensitivity of current and future gravitational-wave detectors improves, it will become possible to measure the evolution of the binary black hole merger rate with redshift. Here, we combine detailed fits to state-of-the-art…

High Energy Astrophysical Phenomena · Physics 2018-10-17 Carl L. Rodriguez , Abraham Loeb

The population of black holes observed via gravitational waves currently covers the local universe up to a redshift $z\lesssim 1$, for the most massive merging binaries, or $z\lesssim 0.25$ for low-mass BH binaries (BBH). Evolution of the…

General Relativity and Quantum Cosmology · Physics 2025-10-16 Jam Sadiq , Thomas Dent , Ana Lorenzo-Medina

We investigate the capability of constraining the mass and redshift distributions of binary black hole systems jointly with the underlying cosmological model using one year of observations of the Einstein Telescope. To this aim, we fixed…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-18 Matteo Califano , Ivan De Martino , Daniele Vernieri

We explore the benefits of adapted gauges to small mass ratio binary black hole evolutions in the moving puncture formulation. We find expressions that approximate the late time behavior of the lapse and shift, $(\alpha_0,\beta_0)$, and use…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Nicole Rosato , James Healy , Carlos O. Lousto

The knowledge about the black hole mass function (BHMF) and its evolution would help to understand the origin of the BHs and how BH binaries formed at different stages of the history of the Universe. We demonstrate the ability of future…

Astrophysics of Galaxies · Physics 2020-03-11 Xuheng Ding , Kai Liao , Marek Biesiada , Zong-Hong Zhu

We raise the analytical knowledge of the eccentricity-expansion of the Detweiler-Barack-Sago redshift invariant in a Schwarzschild spacetime up to the 9.5th post-Newtonian order (included) for the $e^2$ and $e^4$ contributions, and up to…

General Relativity and Quantum Cosmology · Physics 2016-05-18 Donato Bini , Thibault Damour , Andrea Geralico

We investigate the joint mass-redshift evolution of the binary black-hole merger rate in the latest Gravitational-Wave Transient Catalog, GWTC-4.0. We present and apply a novel non-parametric framework for modeling multi-dimensional,…

High Energy Astrophysical Phenomena · Physics 2025-12-01 Rodrigo Tenorio , Alexandre Toubiana , Tristan Bruel , Davide Gerosa , Jonathan R. Gair

Gravitational-wave detectors are now making it possible to investigate how the merger rate of binary black holes (BBHs) evolves with redshift. In this study, we examine whether the BBH merger rate of isolated binaries deviates from a scaled…

High Energy Astrophysical Phenomena · Physics 2024-05-06 Adam Boesky , Floor S. Broekgaarden , Edo Berger

We present a comprehensive parameter-space study of binary black hole (BBH) mergers using the SEOBNRv4\_opt waveform model. Our analysis spans $\sim 10^6$ simulated waveforms across a broad range of mass ratios \( q = \frac{m_1}{m_2} \in…

High Energy Astrophysical Phenomena · Physics 2025-12-19 İsmail Özbakır , Kadri Yakut

In a recent paper arXiv:0709.0299, we introduced a spin expansion that provides a simple yet powerful way to understand aspects of binary black hole (BBH) merger. This approach relies on the symmetry properties of initial and final…

Astrophysics · Physics 2008-11-26 Latham Boyle , Michael Kesden

Numerical relativity (NR) provides the most accurate waveforms for comparable-mass binary black holes but becomes prohibitively expensive for increasingly asymmetric mass ratios. Point-particle black hole perturbation theory (ppBHPT), which…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Tousif Islam , Gaurav Khanna , Scott E. Field

Observations of massive galaxies at low redshift have revealed approximately linear scaling relations between the mass of a supermassive black hole (SMBH) and properties of its host galaxy. How these scaling relations evolve with redshift…

Gravitational wave detectors are starting to reveal the redshift evolution of the binary black hole (BBH) merger rate, $R_{\mathrm{BBH}}(z)$. We make predictions for $R_{\mathrm{BBH}}(z)$ as a function of black hole mass for systems…

High Energy Astrophysical Phenomena · Physics 2022-05-23 L. A. C. van Son , S. E. de Mink , T. Callister , S. Justham , M. Renzo , T. Wagg , F. S. Broekgaarden , F. Kummer , R. Pakmor , I. Mandel

We calculate the first-order (in the mass-ratio) metric perturbation produced by a small body on an eccentric, precessing bound orbit about a Kerr black hole. We reconstruct the metric perturbation from the maximal spin-weight Weyl scalars,…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Zachary Nasipak