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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 propose a new numerical method to calculate irrotational binary systems composed of compressible gaseous stars in Newtonian gravity. Assuming irrotationality, i.e. vanishing of the vorticity vector everywhere in the star in the inertial…

Astrophysics · Physics 2009-10-30 Koji Uryu , Yoshiharu Eriguchi

We present a new initial data formulation to solve the full set of Einstein equations for spacetimes that contain a black hole under general conditions. The method can be used to construct complete initial data for spacetimes (the full…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Antonios Tsokaros , Kōji Uryū , Stuart L. Shapiro

Binary neutron-star (BNS) systems represent primary sources for the gravitational-wave (GW) detectors. We present a systematic investigation in full GR of the dynamics and GW emission from BNS which inspiral and merge, producing a black…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luca Baiotti , Bruno Giacomazzo , Luciano Rezzolla

We present a model for determining the dimensionless spin parameter and mass of the black hole remnant of black hole-neutron star mergers with parallel orbital angular momentum and initial black hole spin. This approach is based on the…

General Relativity and Quantum Cosmology · Physics 2013-11-26 Francesco Pannarale

Stationary axisymmetric binary systems of unequal counterrotating Kerr-Newman sources with a massless strut in between are studied. By means of the choice of a suitable parametrization, the axis conditions and the absence of individual…

General Relativity and Quantum Cosmology · Physics 2017-07-03 I. Cabrera-Munguia

Coalescing compact object binaries consisting of black holes and/or Neutron stars are a prime target for ground-based gravitational wave detectors. This article reviews the status of numerical simulations of these systems, with an emphasis…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Harald P. Pfeiffer

Finite difference method and pseudo-spectral method have been widely used in the numerical relativity to solve the Einstein equations. As the third major category method to solve partial differential equations, finite element method is much…

General Relativity and Quantum Cosmology · Physics 2018-05-29 Zhoujian Cao , Pei Fu , Li-Wei Ji , Yinhua Xia

In this thesis, we use numerical relativity to investigate gravitational waves from binary black holes in extensions of GR. We first study spherically symmetric gravitational collapse in cubic Horndeski theories of gravity. By varying the…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Tiago França

Using the brick wall method we compute the statistical entropy of a scalar field in a nontrivial background, in two different cases. These background are generated by four and five dimensional black holes with four and three U(1) charges…

High Energy Physics - Theory · Physics 2009-10-31 Elcio Abdalla , L. Alejandro Correa-Borbonet

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

We compare the results of constructing binary black hole initial data with three different decompositions of the constraint equations of general relativity. For each decomposition we compute the initial data using a superposition of two…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Harald P. Pfeiffer , Gregory B. Cook , Saul A. Teukolsky

Mergers of stellar-mass black holes on highly eccentric orbits are among the targets for ground-based gravitational-wave detectors, including LIGO, VIRGO, and KAGRA. These sources may commonly form through gravitational-wave emission in…

High Energy Astrophysical Phenomena · Physics 2018-03-21 László Gondán , Bence Kocsis , Péter Raffai , Zsolt Frei

Almost a hundred compact binary mergers have been detected via gravitational waves by the LIGO-Virgo-KAGRA collaboration in the past few years providing us with a significant amount of new information on black holes and neutron stars. In…

High Energy Astrophysical Phenomena · Physics 2023-12-12 Kutay A. Çokluk , Kadri Yakut , Bruno Giacomazzo

We look for physically realistic initial data in numerical relativity which are in agreement with post-Newtonian approximations. We propose a particular solution of the time-symmetric constraint equation, appropriate to two momentarily…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Luc Blanchet

We present a new computational framework for the Galerkin-collocation method for double domain in the context of ADM 3+1 approach in numerical relativity. This work enables us to perform high resolution calculations for initial sets of two…

General Relativity and Quantum Cosmology · Physics 2018-05-24 W. Barreto , P. C. M. Clemente , H. P. de Oliveira , B. Rodriguez-Mueller

We present results from a new code for binary black hole evolutions using the moving-puncture approach, implementing finite differences in generalised coordinates, and allowing the spacetime to be covered with multiple communicating…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Denis Pollney , Christian Reisswig , Erik Schnetter , Nils Dorband , Peter Diener

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

Several improvements in numerical methods and gauge choice are presented that make it possible now to perform simulations of the merger and ringdown phases of "generic" binary black-hole evolutions using the pseudo-spectral evolution code…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Béla Szilágyi , Lee Lindblom , Mark A. Scheel

We present a new approach to studying the evolution of massive black hole binaries in a stellar environment. By imposing conservation of total energy and angular momentum in scattering experiments, we find the dissipation forces that are…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Yohai Meiron , Ari Laor