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Related papers: Implicit-explicit (IMEX) evolution of single black…

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The majority of the ultraluminous X-ray sources (ULXs) in external galaxies are believed to be accreting black holes in binary systems; some of the black holes could be as massive as $\sim 100-1000 \ms$. We have performed evolution…

Astrophysics · Physics 2009-11-10 Xiang-Dong Li

Standard choices of quasi-circular orbit parameters for black-hole binary evolutions result in eccentric inspiral. We introduce a conceptually simple method, which is to integrate the post-Newtonian equations of motion through hundreds of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sascha Husa , Mark Hannam , Jose A. Gonzalez , Ulrich Sperhake , Bernd Bruegmann

We have investigated, both analytically and numerically, accreting supermassive black hole binaries as they inspiral due to gravitational radiation to elucidate the decoupling of binaries from their disks and inform future multi-messenger…

High Energy Astrophysical Phenomena · Physics 2026-04-27 Alexander J. Dittmann , Geoffrey Ryan , M. Coleman Miller

The close limit approximation of binary black hole is a powerful method to study gravitational-wave emission from highly non-linear geometries. In this work, we use it as a tool to model black hole spacetimes in theories of gravity with a…

General Relativity and Quantum Cosmology · Physics 2021-12-22 Lorenzo Annulli

We consider the numerical evolution of black hole initial data sets, consisting of single black holes distorted by strong gravitational waves, with a full 3D, nonlinear evolution code. These data sets mimic the late stages of coalescing…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Karen Camarda , Edward Seidel

Binary black holes may form both through isolated binary evolution and through dynamical interactions in dense stellar environments. The formation channel leaves an imprint on the alignment between the black hole spins and the orbital…

High Energy Astrophysical Phenomena · Physics 2018-04-12 Simon Stevenson , Christopher P. L. Berry , Ilya Mandel

Rapid binary population synthesis codes are often used to investigate the evolution of compact-object binaries. They typically rely on analytical fits of single-star evolutionary tracks and parameterized models for interactive phases of…

High Energy Astrophysical Phenomena · Physics 2021-12-08 Monica Gallegos-Garcia , Christopher P L Berry , Pablo Marchant , Vicky Kalogera

We establish the set of independent variables suitable to monitor the complicated evolution of the spinning compact binary during the inspiral. Our approach is valid up to the second post-Newtonian order, including leading order spin-orbit,…

General Relativity and Quantum Cosmology · Physics 2010-05-12 László Árpád Gergely

In this paper we investigate a new class of implicit-explicit (IMEX) two-step methods of Peer type for systems of ordinary differential equations with both non-stiff and stiff parts included in the source term. An extrapolation approach…

Numerical Analysis · Mathematics 2017-03-29 Jens Lang , Willem Hundsdorfer

We present long term evolutions of a single black hole of mass $M$ with the BSSN system using pseudospectral methods. For our simulations we use the SGRID code where the BSSN system is implemented in its standard second order in space form.…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Wolfgang Tichy

We present numerical simulations of binary black hole systems which for the first time last for about one orbital period for close but still separate black holes as indicated by the absence of a common apparent horizon. An important part of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernd Bruegmann , Wolfgang Tichy , Nina Jansen

Although implicit-explicit (IMEX) methods for approximating solutions to semilinear parabolic equations are relatively standard, most recent works examine the case of a fully discretized model. We show that by discretizing time only, one…

Analysis of PDEs · Mathematics 2007-05-23 Michael Robinson

In calculations of the inspiral of binary black holes an intermediate approximation is needed that can bridge the post-Newtonian methods of the early inspiral and the numerical relativity computations of the final plunge. We describe here…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Benjamin Bromley , Robert Owen , Richard H. Price

We present numerical simulations of orbiting black holes for around twelve cycles, using a high-order multipatch approach. Unlike some other approaches, the computational speed scales almost perfectly for thousands of processors. Multipatch…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Enrique Pazos , Manuel Tiglio , Matthew D. Duez , Lawrence E. Kidder , Saul A. Teukolsky

We consider a series of distorted black hole initial data sets, and develop techniques to evolve them using the linearized equations of motion for the gravitational wave perturbations on a Schwarzschild background. We apply this to 2D and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gabrielle Allen , Karen Camarda , Edward Seidel

Gravitational waveforms capturing binary evolution through the early-inspiral phase play a critical role in extracting orbital features that nearly disappear during the late-inspiral and subsequent merger phase due to radiation reaction…

General Relativity and Quantum Cosmology · Physics 2025-07-04 Pratul Manna , Tamal RoyChowdhury , Chandra Kant Mishra

In this paper, we extend the implicit-explicit (IMEX) methods of Peer type recently developed in [Lang, Hundsdorfer, J. Comp. Phys., 337:203--215, 2017] to a broader class of two-step methods that allow the construction of super-convergent…

Numerical Analysis · Mathematics 2018-06-08 Moritz Schneider , Jens Lang , Willem Hundsdorfer

We present $\texttt{ENIGMA}$, a time domain, inspiral-merger-ringdown waveform model that describes non-spinning binary black holes systems that evolve on moderately eccentric orbits. The inspiral evolution is described using a consistent…

Gravitational waves radiated during binary black hole coalescence is a perfect probe for studying the characteristics of strong gravity. Advanced techniques for creating numerical relativity substitute models for eccentric binary black hole…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Sourav Roy Chowdhury , Maxim Khlopov

We study binary systems in which a stellar mass compact object spirals into a massive black hole, known as extreme mass ratio inspirals, in scenarios with a new fundamental scalar field. Earlier work has shown that, in most interesting such…

General Relativity and Quantum Cosmology · Physics 2022-09-15 Susanna Barsanti , Nicola Franchini , Leonardo Gualtieri , Andrea Maselli , Thomas P. Sotiriou