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I describe the construction of initial data for the Einstein vacuum equations that can represent a collision of two black holes. I stress in the main physical ideas.

General Relativity and Quantum Cosmology · Physics 2009-12-07 S. Dain

The precise modeling of binary black hole coalescences in generic planar orbits is a crucial step to disentangle dynamical and isolated binary formation channels through gravitational-wave observations. The merger regime of such…

General Relativity and Quantum Cosmology · Physics 2024-04-26 Gregorio Carullo , Simone Albanesi , Alessandro Nagar , Rossella Gamba , Sebastiano Bernuzzi , Tomas Andrade , Juan Trenado

The first detections of black hole - neutron star mergers (GW200105 and GW200115) by the LIGO-Virgo-Kagra Collaboration mark a significant scientific breakthrough. The physical interpretation of pre- and post-merger signals requires careful…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Swami Vivekanandji Chaurasia , Tim Dietrich , Stephan Rosswog

Standard puncture initial data have been widely used for numerical binary black hole evolutions despite their shortcomings, most notably the inherent lack of gravitational radiation at the initial time that is later followed by a burst of…

General Relativity and Quantum Cosmology · Physics 2015-03-20 George Reifenberger , Wolfgang Tichy

Numerical studies of the dynamics of gravitational systems, e.g., black hole-neutron star systems, require physical and constraint-satisfying initial data. In this article, we present the newly developed pseudo-spectral code Elliptica, an…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Alireza Rashti , Francesco Maria Fabbri , Bernd Brügmann , Swami Vivekanandji Chaurasia , Tim Dietrich , Maximiliano Ujevic , Wolfgang Tichy

We introduce a method to quantify the initial eccentricity, gravitational wave frequency, and mean anomaly of numerical relativity simulations that describe non-spinning black holes on moderately eccentric orbits. We demonstrate that this…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Sarah Habib , E. A. Huerta

The aftermath of binary black hole coalescence is a perturbed remnant whose gravitational radiation rings down, encoding information about the new black hole's recent history and current state.It is expected that this ringdown radiation…

General Relativity and Quantum Cosmology · Physics 2020-10-28 L. London

The coalescence of two black holes generates gravitational waves that carry detailed information about the properties of those black holes and their binary configuration. The final coalescence cycles are in the form of a {\it ringdown}: a…

General Relativity and Quantum Cosmology · Physics 2019-11-18 Scott A. Hughes , Anuj Apte , Gaurav Khanna , Halston Lim

We construct initial data suitable for the Kerr stability conjecture, that is, solutions to the constraint equations on a spacelike hypersurface with boundary entering the black hole horizon that are arbitrarily decaying perturbations of a…

Analysis of PDEs · Mathematics 2025-07-24 Allen Juntao Fang , Jérémie Szeftel , Arthur Touati

Binary black hole simulations have traditionally been computationally very expensive: current simulations are performed in supercomputers involving dozens if not hundreds of processors, thus systematic studies of the parameter space of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pedro Marronetti , Wolfgang Tichy , Bernd Bruegmann , Jose Gonzalez , Mark Hannam , Sascha Husa , Ulrich Sperhake

We use a post-Newtonian diagnostic tool to examine numerically generated quasiequilibrium initial data sets for non-spinning double neutron star and neutron star-black hole binary systems. The PN equations include the effects of tidal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emanuele Berti , Sai Iyer , Clifford M. Will

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kashif Alvi

Superradiant instabilities of rotating black holes can give rise to long-lived bosonic clouds, offering natural laboratories to probe ultralight particles across a wide range of parameter space. The presence of a companion can dramatically…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Mateja Bošković , Rafael A. Porto , Matthias Koschnitzke

Quadratic quasinormal modes encode fundamental properties of black hole spacetimes. They are also one of the key ingredients of nonlinearities of General Relativity in the ringdown stage of binary black hole coalescence. In this work, we…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Neev Khera , Sizheng Ma , Huan Yang

We present details of a new numerical code designed to study the formation and evaporation of 2-dimensional black holes within the CGHS model. We explain several elements of the scheme that are crucial to resolve the late-time behavior of…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Fethi M Ramazanoğlu , Frans Pretorius

Astrophysical black holes could be nearly extremal (that is, rotating nearly as fast as possible); therefore, nearly extremal black holes could be among the binaries that current and future gravitational-wave observatories will detect.…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Mark A. Scheel , Matthew Giesler , Daniel A. Hemberger , Geoffrey Lovelace , Kevin Kuper , Michael Boyle , Bela Szilagyi , Lawrence E. Kidder

A general relativistic, stationary and axisymmetric black hole in a four-dimensional asymptotically-flat spacetime is fully determined by its mass, angular momentum and electric charge. The expectation that astrophysically relevant black…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Gabriele Bozzola , Vasileios Paschalidis

Binary black-hole coalescence is treated semi-analytically by a novel approach. Our prescription employs the conservative Skeleton Hamiltonian that describes orbiting Brill-Lindquist wormholes (termed punctures in Numerical Relativity)…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Achamveedu Gopakumar , Gerhard Schaefer

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

Binary black-hole systems with spins aligned with the orbital angular momentum are of special interest, as studies indicate that this configuration is preferred in nature. If the spins of the two bodies differ, there can be a prominent…

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