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One way to select a preferred frame from gravitational radiation is via the principal axes of < L L>, an average of the action of rotation group generators on the Weyl tensor at asymptotic infinity. In this paper we evaluate this…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Evan Ochsner , Richard O'Shaughnessy

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 construct a fully analytic, general relativistic, nonspinning black hole binary spacetime that approximately solves the vacuum Einstein equations everywhere in space and time for black holes sufficiently well separated. The metric is…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Bruno C. Mundim , Hiroyuki Nakano , Nicolás Yunes , Manuela Campanelli , Scott C. Noble , Yosef Zlochower

The problem of predicting unobserved entries in a binary matrix, known as 1-bit matrix completion, has found diverse applications in fields such as recommendation systems. In this study, we develop an empirical Bayes method for 1-bit matrix…

Machine Learning · Statistics 2026-05-12 Takeru Matsuda

With the goal of bringing theory, particularly numerical relativity, to bear on an astrophysical problem of critical interest to gravitational wave observers we introduce a model for coalescence radiation from binary black hole systems. We…

Astrophysics · Physics 2009-11-07 J. Baker , M. Campanelli , C. O. Lousto , R. Takahashi

I review the status of research, conducted by a variety of independent groups, aimed at the eventual observation of Extreme Mass Ratio Inspirals (EMRIs) with gravitational wave detectors. EMRIs are binary systems in which one of the objects…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Steve Drasco

We use the Fisher information matrix method to calculate the parameter estimation accuracy of inspiraling supermassive black holes binaries for TianQin, a space-borne laser interferometric detector aimed at detecting gravitational waves in…

Instrumentation and Methods for Astrophysics · Physics 2019-06-12 Wen-Fan Feng , Hai-Tian Wang , Xin-Chun Hu , Yi-Ming Hu , Yan Wang

The mean density of a star transited by a planet, brown dwarf or low mass star can be accurately measured from its light curve. This measurement can be combined with other observations to estimate its mass and age by comparison with stellar…

Instrumentation and Methods for Astrophysics · Physics 2015-02-18 P. F. L. Maxted , A. M. Serenelli , J. Southworth

Estimating the source parameters of gravitational waves from compact binary coalescence(CBC) is a key analysis task in gravitational-wave astronomy. To deal with the increasing detection rate of CBC signals, optimizing the parameter…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Eunsub Lee , Soichiro Morisaki , Hideyuki Tagoshi

The timing of radio pulsars in binary systems provides a superb testing ground of general relativity. Here we propose a Bayesian approach to carry out these tests, and a relevant efficient numerical implementation, that has several…

General Relativity and Quantum Cosmology · Physics 2016-07-27 Walter Del Pozzo , Alberto Vecchio

Machine learning methods for computational imaging require uncertainty estimation to be reliable in real settings. While Bayesian models offer a computationally tractable way of recovering uncertainty, they need large data volumes to be…

Machine Learning · Computer Science 2020-08-24 Francesco Tonolini , Jack Radford , Alex Turpin , Daniele Faccio , Roderick Murray-Smith

It is attempted to obtain the masses of the celestial bodies, the initial conditions of their motion, and the constant of gravitation, by a global parameter optimization. First, a numerical solution of the N-bodies problem for mass points…

Astrophysics · Physics 2007-05-23 Mayeul Arminjon

Gravitational microlensing is unique in detecting binary black (BH) holes with wide (a few au) separations. Models predict that about $1\%$ of microlensing binaries should be due to binary BHs, and yet zero has been robustly identified.…

High Energy Astrophysical Phenomena · Physics 2022-06-01 Xiaoyi Ma , Wei Zhu , Hongjing Yang

We present a method for detection of weak continuous signals from sources in binary systems via the incoherent combination of many "short" coherently-analyzed segments. The main focus of the work is on the construction of a metric on the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Chris Messenger

In this lecture we describe the data analysis problem for insparlling binaries. We discuss the detection statistic, how to make realiable estimation and how to compute bias in the estimation of parameters. A combination of geometrical ideas…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. S. Sathyaprakash

Virial mass is used as an estimator for the mass of a dark matter halo. However, the commonly used constant overdensity criterion does not reflect the dynamical structure of haloes. Here we analyze dark matter cosmological simulations in…

Astrophysics · Physics 2008-04-02 Antonio J. Cuesta , Francisco Prada

We propose a Bayesian inference framework to estimate uncertainties in inverse scattering problems. Given the observed data, the forward model and their uncertainties, we find the posterior distribution over a finite parameter field…

Numerical Analysis · Mathematics 2020-11-17 Ana Carpio , Sergei Iakunin , Georg Stadler

A new method is described for constructing initial data for a binary neutron-star (BNS) system in quasi-equilibrium circular orbit. Two formulations for non-conformally flat data, waveless (WL) and near-zone helically symmetric (NHS), are…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Koji Uryu , Francois Limousin , John L. Friedman , Eric Gourgoulhon , Masaru Shibata

Observations reveal that mass-transferring binary systems may have non-zero orbital eccentricities. The time-evolution of the orbital semi-major axis and eccentricity of mass-transferring eccentric binary systems is an important part of…

Solar and Stellar Astrophysics · Physics 2016-07-06 Fani Dosopoulou , Vicky Kalogera

We investigate the effect of spin-orbit and spin-spin couplings on the estimation of parameters for inspiralling compact binaries of massive black holes, and for neutron stars inspiralling into intermediate-mass black holes, using…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Emanuele Berti , Alessandra Buonanno , Clifford M. Will