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Numerical relativity is the most promising tool for theoretically modeling the inspiral and coalescence of neutron star and black hole binaries, which, in turn, are among the most promising sources of gravitational radiation for future…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Thomas W. Baumgarte , Stuart L. Shapiro

Numerical relativity is an essential tool in studying the coalescence of binary black holes (BBHs). It is still computationally prohibitive to cover the BBH parameter space exhaustively, making phenomenological fitting formulas for BBH…

General Relativity and Quantum Cosmology · Physics 2017-03-28 Xisco Jiménez-Forteza , David Keitel , Sascha Husa , Mark Hannam , Sebastian Khan , Michael Pürrer

Binary black holes are the most abundant source of gravitational-wave observations. Gravitational-wave observatories in the next decade will require tremendous increases in the accuracy of numerical waveforms modeling binary black holes,…

Distinguishing the photon output of an accreting supermassive black hole binary system from that of a single supermassive black hole accreting at the same rate is intrinsically difficult because the majority of the light emerges from near…

Astrophysics of Galaxies · Physics 2019-07-17 Julian H. Krolik , Marta Volonteri , Yohan Dubois , Julien Devriendt

Electromagnetic observations have been used over the past decades to understand the nature of black holes and the material around them. Our ability to learn about the fundamental physics relies on our understanding of two key ingredients in…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Alejandro Cardenas-Avendano , Jaxen Godfrey , Nicolas Yunes , Anne Lohfink

We model the electromagnetic signatures of massive black hole binaries (MBHBs) with an associated gas component. The method comprises numerical simulations of relativistic binaries and gas coupled with calculations of the physical…

Astrophysics · Physics 2009-11-13 Tamara Bogdanovic , Britton D. Smith , Steinn Sigurdsson , Michael Eracleous

Simulation of quasicircular compact binaries is a major goal in numerical relativity, as they are expected to constitute most gravitational wave observations. However, given that orbital eccentricity is not well-defined in general…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Sarah Habib , Mark Scheel , Saul Teukolsky

Self-consistent vertical structure models together with non-LTE radiative transfer should produce spectra from accretion disks around black holes which differ from multitemperature blackbodies at levels which may be observed. High…

Astrophysics · Physics 2009-11-11 Shane W. Davis , Ivan Hubeny

The conformal method for constructing initial data for Einstein's equations is presented in both the Hamiltonian and Lagrangian picture (extrinsic curvature decomposition and conformal thin sandwich formalism, respectively), and advantages…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Harald P. Pfeiffer

The focus of this work is on the construction of initial data including a neutron star on a hyperboloidal slice. As simplest scenario for this first step, spherical symmetry is considered together with a polytropic-like equation of state…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Alex Vañó-Viñuales

We propose a novel, frequency-domain approach to the analysis of the gravitational-wave ringdown signal of binary black holes and the identification of quasinormal mode frequencies of the remnant. Our approach avoids the issues of spectral…

General Relativity and Quantum Cosmology · Physics 2022-01-11 Eliot Finch , Christopher J. Moore

We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Pedro Marronetti

This is a collection of notes to calculate electromagnetic spectra of geometrically thin and optically thick accretion disks around black holes. The presentation is intentionally pedagogical and most calculations are reported step by step.…

High Energy Astrophysical Phenomena · Physics 2024-08-23 Cosimo Bambi

Time-domain datasets of many varieties can be prone to statistical outliers that result from instrumental or astrophysical anomalies. These can impair searches for signals within the time series and lead to biased parameter estimation.…

Instrumentation and Methods for Astrophysics · Physics 2022-10-05 Qiaohong Wang , Stephen R. Taylor

We describe a method for initializing characteristic evolutions of the Einstein equations using a linearized solution corresponding to purely outgoing radiation. This allows for a more consistent application of the characteristic (null…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Nigel Bishop , Denis Pollney , Christian Reisswig

The orbital motion of inspiralling and coalescing black hole binaries can be investigated using a variety of approximation schemes and numerical methods within general relativity: post-Newtonian expansions, black hole perturbation theory,…

General Relativity and Quantum Cosmology · Physics 2011-10-03 Alexandre Le Tiec

When using the black hole exclusion (horizon boundary condition) technique, $K$ is usually nonzero and spatially variable, so none of the special cases of York's conformal-decomposition algorithm apply, and the full 4-vector nonlinear York…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Jonathan Thornburg

We obtain an explicit solution of the momentum constraint for conformally flat, maximal slicing, initial data which gives an alternative to the purely longitudinal extrinsic curvature of Bowen and York. The new solution is related, in a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S. Dain , C. O. Lousto , R. Takahashi

In X-ray binary star systems consisting of a compact object that accretes material from an orbiting secondary star, there is no straightforward means to decide if the compact object is a black hole or a neutron star. To assist this…

High Energy Astrophysical Phenomena · Physics 2018-08-20 Giri Gopalan , Saeqa Dil Vrtilek , Luke Bornn

Initial data for numerical evolutions of binary-black holes have been dominated by "conformally flat" (CF) data (i.e., initial data where the conformal background metric is chosen to be flat) because they are easy to construct. However, CF…

General Relativity and Quantum Cosmology · Physics 2012-11-15 Bryant Garcia , Geoffrey Lovelace , Lawrence E. Kidder , Michael Boyle , Saul A. Teukolsky , Mark A. Scheel , Bela Szilagyi