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We construct asymptotically flat, spinning, regular on and outside an event horizon, scalarised black holes (SBHs) in extended scalar-tensor-Gauss-Bonnet models. They reduce to Kerr BHs when the scalar field vanishes. For an illustrative…

General Relativity and Quantum Cosmology · Physics 2019-07-10 Pedro V. P. Cunha , Carlos A. R. Herdeiro , Eugen Radu

We propose and explore a "stationary 1+log" slicing condition for the construction of solutions to Einstein's constraint equations. For stationary spacetimes, these initial data will give a stationary foliation when evolved with "moving…

General Relativity and Quantum Cosmology · Physics 2009-10-12 T. W. Baumgarte , Z. B. Etienne , Y. T. Liu , K. Matera , N. Ó Murchadha , S. L. Shapiro , K. Taniguchi

We report on the successful numerical evolution of the compactified hyperboloidal initial value problem in general relativity using generalized harmonic gauge. We work in spherical symmetry, using a massless scalar field to drive dynamics.…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Christian Peterson , Shalabh Gautam , Alex Vañó-Viñuales , David Hilditch

A solution of Einstein's vacuum field equation is derived that describes a general boosted Kerr black hole relative to a Lorentz frame at future null infinity. The metric contains five independent parameters -- mass $m$, rotation $\omega$,…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Ivano Damião Soares

We provide a geometric framework for the construction of non-vacuum black holes whose metrics are stationary and axisymmetric. Under suitable assumptions we show that the Einstein equations reduce to an Einstein-harmonic map type system and…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Otis Chodosh , Yakov Shlapentokh-Rothman

We study the method for generating the initial data of black hole systems in Gauss-Bonnet (GB) gravity. The initial data are assumed to be momentarily static and conformally flat. Although the equation for the conformal factor is highly…

General Relativity and Quantum Cosmology · Physics 2011-05-10 Hirotaka Yoshino

We study the head-on collision of black holes starting from unsymmetrized, Brill--Lindquist type data for black holes with non-vanishing initial linear momentum. Evolution of the initial data is carried out with the ``close limit…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Reinaldo Gleiser , Oscar Nicasio , Richard Price , Jorge Pullin

In this paper we obtain a new solution of Einstein field equations which describes a boosted Kerr-Newman black hole relative to a Lorentz frame at future null infinity. To simplify our analysis we consider a particular configuration in…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Rafael F. Aranha , Rodrigo Maier

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

We present improved post-Newtonian-inspired initial data for non-spinning black-hole binaries, suitable for numerical evolution with punctures. We revisit the work of Tichy et al. [W. Tichy, B. Bruegmann, M. Campanelli, and P. Diener, Phys.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernard J Kelly , Wolfgang Tichy , Manuela Campanelli , Bernard F Whiting

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 perform a statistical analysis of the binary black hole problem in the post-Newtonian approximation by systematically sampling and evolving the parameter space of initial configurations for quasi-circular inspirals. Through a principal…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Chad R. Galley , Frank Herrmann , John Silberholz , Manuel Tiglio , Gustavo Guerberoff

We develop a numerical solver, that extends the computational framework considered in [Phys. Rev. D 65, 084016 (2002)], to include scalar perturbations of nonrotating black holes. The nonlinear Einstein-Klein-Gordon equations for a massless…

General Relativity and Quantum Cosmology · Physics 2015-06-22 W. Barreto

We present a novel implicit numerical implementation of the parabolic-hyperbolic formulation of the constraints of general relativity. The proposed method is unconditionally stable, has the advantage of not requiring the imposition of any…

General Relativity and Quantum Cosmology · Physics 2019-08-01 Georgios Doulis

The standard approach to initial data for both analytic and numerical computations of black hole collisions has been to use conformally-flat initial geometry. Among other advantages, this choice allows the simple superposition of holes with…

General Relativity and Quantum Cosmology · Physics 2009-10-31 W. Krivan , R. H. Price

We revisit scalarized black holes in Einstein-scalar-Gauss-Bonnet gravity and analyze the thermodynamic phase transition between the Schwarzschild solution of general relativity and scalarized black holes. Restricting to spherically…

General Relativity and Quantum Cosmology · Physics 2026-03-26 Carlos Herdeiro , Hyat Huang , Jutta Kunz , Meng-Yun Lai , Eugen Radu , De-Cheng Zou

We build equilibrium solutions of magnetised thick discs around a highly spinning Kerr black hole and evolve these initial data up to a final time of about 100 orbital periods. The numerical simulations reported in this paper solve the…

General Relativity and Quantum Cosmology · Physics 2020-01-28 Alejandro Cruz-Osorio , Sergio Gimeno-Soler , José A. Font

We construct a black hole initial data for the Einstein equations with prescribed scalar curvature, or more precisely a piece of initial data contained inside the black hole. The constraints translate into a parabolic equation, with radius…

Differential Geometry · Mathematics 2012-07-12 Bernold Fiedler , Juliette Hell , Brian Smith

We extend the Wald solution to a black hole that is also boosted. More specifically, we derive analytic solutions for the Maxwell equations for a rotating black hole moving at constant speed in an asymptotically uniform magnetic test field.…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Viktoriya S. Morozova , Luciano Rezzolla , Bobomurat J. Ahmedov

We follow the inspiral and merger of equal-mass black holes (BHs) by the moving puncture technique and demonstrate that both the exterior solution and the asymptotic gravitational waveforms are unchanged when the initial interior solution…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zachariah B. Etienne , Joshua A. Faber , Yuk Tung Liu , Stuart L. Shapiro , Thomas W. Baumgarte
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