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When numerically solving Einstein's equations for binary black holes (BBH), we must find initial data on a three-dimensional spatial slice by solving constraint equations. The construction of initial data is a multi-step process, in which…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Iago B. Mendes , Nils L. Vu , Oliver Long , Harald P. Pfeiffer , Robert Owen

With the recent release of the second gravitational-wave transient catalogue (GWTC-2), which introduced dozens of new detections, we are at a turning point of gravitational wave astronomy, as we are now able to directly infer constraints on…

When modeling the population of merging binary black holes, analyses have generally focused on characterizing the distribution of primary (i.e. more massive) black holes in the binary, while simplistic prescriptions are used for the…

High Energy Astrophysical Phenomena · Physics 2024-09-02 Amanda M. Farah , Maya Fishbach , Daniel E. Holz

The purpose of this work is to construct asymptotically flat, time symmetric initial data with an apparent horizon of prescribed intrinsic geometry. To do this, we use the parabolic partial differential equation for prescribing scalar…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Brian Smith

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

We perform a systematic study of eccentric orbiting nonspinning black hole binaries. We first make a technical study of the optimal full numerical techniques to apply to these studies. We choose different gauge parameters and Courant…

General Relativity and Quantum Cosmology · Physics 2025-01-17 Giuseppe Ficarra , Carlos O. Lousto

Primordial black holes in the mass range of ground-based gravitational-wave detectors can comprise a significant fraction of the dark matter. Mass and spin measurements from coalescences can be used to distinguish between an astrophysical…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-06 V. De Luca , G. Franciolini , P. Pani , A. Riotto

A new numerical method to construct binary black hole/neutron star initial data is presented. The method uses three spherical coordinate patches; Two of these are centered at the binary compact objects and cover a neighborhood of each…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Antonios A. Tsokaros , Koji Uryu

We revisit the question of the imposition of initial data representing astrophysical gravitational perturbations of black holes. We study their dynamics for the case of nonrotating black holes by numerically evolving the Teukolsky equation…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Manuela Campanelli , William Krivan , Carlos O. Lousto

In this paper a new double-domain spectral method to compute binary black hole excision initial data is presented. The method solves a system of elliptic partial differential equations in the exterior of two excised spheres. At the surface…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Marcus Ansorg

The properties of precessing, coalescing binary black holes are presently inferred through comparison with two approximate models of compact binary coalescence. In this work we show these two models often disagree substantially when…

General Relativity and Quantum Cosmology · Physics 2018-01-03 A. R. Williamson , J. Lange , R. O'Shaughnessy , J. A. Clark , P. Kumar , J. Calderón Bustillo , J. Veitch

In Kelly et al. [Phys. Rev. D, 76:024008, 2007], we presented new binary black-hole initial data adapted to puncture evolutions in numerical relativity. This data satisfies the constraint equations to 2.5 post-Newtonian order, and contains…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Bernard J. Kelly , Wolfgang Tichy , Yosef Zlochower , Manuela Campanelli , Bernard Whiting

Fundamental fields are a natural outcome in cosmology and particle physics and might therefore serve as a proxy for more complex interactions. The equivalence principle implies that all forms of matter gravitate, and one therefore expects…

General Relativity and Quantum Cosmology · Physics 2014-05-28 Hirotada Okawa , Helvi Witek , Vitor Cardoso

We present a set of boundary conditions for solving the elliptic equations in the Initial Data Problem for space-times containing a black hole, together with a number of constraints to be satisfied by the otherwise freely specifiable…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. L. Jaramillo , E. Gourgoulhon , G. A. Mena Marugan

We calculate puncture initial data corresponding to both single and binary black hole solutions of the constraint equations by means of a pseudo-spectral method applied in a single spatial domain. Introducing appropriate coordinates, these…

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

We evolve the binary black hole initial data family proposed by Bishop {\em et al.} in the limit in which the black holes are close to each other. We present an exact solution of the linearized initial value problem based on their proposal…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Olivier Sarbach , Manuel Tiglio , Jorge Pullin

Determining the final spin of a black-hole (BH) binary is a question of key importance in astrophysics. Modelling this quantity in general is made difficult by the fact that it depends on the 7-dimensional space of parameters characterizing…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Luciano Rezzolla , Peter Diener , Ernst Nils Dorband , Denis Pollney , Christian Reisswig , Erik Schnetter , Jennifer Seiler

We model numerically the evolution of $10^4M_\odot$ turbulent molecular clouds in near-radial infall onto $10^6M_\odot$, equal-mass super-massive black hole binaries, using a modified version of the SPH code GADGET-3. We investigate the…

High Energy Astrophysical Phenomena · Physics 2017-08-23 Felipe G. Goicovic , Jorge Cuadra , Alberto Sesana

The two established techniques for measuring black hole spin in X-ray binaries often yield conflicting results, which must be resolved before either method may be deemed robust. In practice, black hole spin measurements based on fitting the…

High Energy Astrophysical Phenomena · Physics 2020-11-23 Greg Salvesen , Jonah M. Miller

The spins of black holes in merging binaries can reveal information related to the formation and evolution of these systems through their gravitational wave emission. Combining events to infer the astrophysical distribution of black hole…

High Energy Astrophysical Phenomena · Physics 2023-03-15 Jacob Golomb , Colm Talbot
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