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The construction of initial-data sets representing binary black-hole configurations in quasi-circular orbits is studied in the context of the conformal-imaging formalism. An effective-potential approach for locating quasi-circular orbits is…

广义相对论与量子宇宙学 · 物理学 2009-09-25 Gregory B. Cook

In numerical evolutions of binary black holes (BBH) it is desirable to easily control the orbital eccentricity of the BBH, and the number of orbits completed by the binary through merger. This paper presents fitting formulae that allow to…

广义相对论与量子宇宙学 · 物理学 2012-10-11 Abdul H. Mroué , Harald P. Pfeiffer

Generalizing previous work we propose how to superpose spinning black holes in a Kerr-Schild initial slice. This superposition satisfies several physically meaningful limits, including the close and the far ones. Further we consider the…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Claudia Moreno , Dario Nunez , Olivier Sarbach

The parabolic-hyperbolic form of the constraints is integrated numerically. The applied numerical stencil is $4^{th}$ order accurate (in the spatial directions) while 'time'-integration is made by using the method of lines with a $4^{th}$…

广义相对论与量子宇宙学 · 物理学 2022-01-13 Anna Nakonieczna , Łukasz Nakonieczny , István Rácz

We present a method to construct conformally curved initial data for charged black hole binaries with spin on arbitrary orbits. We generalize the superposed Kerr-Schild, extended conformal thin sandwich construction from [Lovelace et al.,…

广义相对论与量子宇宙学 · 物理学 2022-02-25 Soham Mukherjee , Nathan K. Johnson-McDaniel , Wolfgang Tichy , Steven L. Liebling

We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data…

广义相对论与量子宇宙学 · 物理学 2009-10-31 P. Marronetti , M. Huq , P. Laguna , L. Lehner , R. Matzner , D. Shoemaker , .

Initial data for numerical evolutions of binary-black holes have been dominated by "conformally flat" (CF) data (i.e., initial data where the conformal background metric is chosen to be flat) because they are easy to construct. However, CF…

广义相对论与量子宇宙学 · 物理学 2012-11-15 Bryant Garcia , Geoffrey Lovelace , Lawrence E. Kidder , Michael Boyle , Saul A. Teukolsky , Mark A. Scheel , Bela Szilagyi

We present improvements to construction of binary black hole initial data used in SpEC (the Spectral Einstein Code). We introduce new boundary conditions for the extended conformal thin sandwich elliptic equations that enforce the excision…

广义相对论与量子宇宙学 · 物理学 2018-11-15 Vijay Varma , Mark A. Scheel , Harald P. Pfeiffer

The construction of constraint-satisfying initial data is an essential element for the numerical exploration of the dynamics of compact-object binaries. While several codes have been developed over the years to compute generic…

广义相对论与量子宇宙学 · 物理学 2021-07-28 L. Jens Papenfort , Samuel D. Tootle , Philippe Grandclément , Elias R. Most , Luciano Rezzolla

In this paper we study a new family of black hole initial data sets corresponding to distorted ``Kerr'' black holes with moderate rotation parameters, and distorted Schwarzschild black holes with even- and odd-parity radiation. These data…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Steven R. Brandt , Edward Seidel

We propose a method of determining solutions to the constraint equations of General Relativity approximately describing binary black holes in quasi-stationary circular orbits. Black holes with arbitrary linear momenta are constructed in the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Brian D. Baker

An orbiting black hole binary will generate strong gravitational radiation signatures, making these binaries important candidates for detection in gravitational wave observatories. The gravitational radiation is characterized by the orbital…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Erin Bonning , Pedro Marronetti , David Neilsen , Richard Matzner

Recent observations of Galactic Black Hole Candidates (BHCs) suggest that those that are superluminal jet sources have more rapid black hole spin rates than otherwise normal BHCs. This provides observational support for models of…

天体物理学 · 物理学 2007-05-23 Shinji Koide , David L. Meier , Kazunari Shibata , Takahiro Kudoh

To describe a general bound binary black hole system, we need to consider orbital eccentricity and the misalignment of black holes' spin vectors with respect to the orbital angular momentum. While binary black holes produced through many…

高能天体物理现象 · 物理学 2025-05-13 Amitesh Singh , Nathan K. Johnson-McDaniel , Anuradha Gupta , Khun Sang Phukon

We consider the metric of a generic axially symmetric rotating stationary black hole. The general approach is developed that enables us to construct coordinate frame regular near the horizon. As explicit examples, the Kerr and…

广义相对论与量子宇宙学 · 物理学 2018-09-19 O. B. Zaslavskii

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…

偏微分方程分析 · 数学 2025-07-24 Allen Juntao Fang , Jérémie Szeftel , Arthur Touati

By applying a parabolic-hyperbolic formulation of the constraints and superposing Kerr-Schild black holes, a simple method is introduced to initialize time evolution of binary systems. As the input parameters are essentially the same as…

广义相对论与量子宇宙学 · 物理学 2019-01-07 István Rácz

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…

广义相对论与量子宇宙学 · 物理学 2019-06-19 Gabriele Bozzola , Vasileios Paschalidis

Binary black-hole systems with spins aligned with the orbital angular momentum are of special interest as they may be the preferred end-state of the inspiral of generic supermassive binary black-hole systems. In view of this, we have…

广义相对论与量子宇宙学 · 物理学 2011-02-18 Luciano Rezzolla , Ernst Nils Dorband , Christian Reisswig , Peter Diener , Denis Pollney , Erik Schnetter , Bela Szilagyi

We describe recent numerical simulations of the merger of a class of equal mass, non-spinning, eccentric binary black hole systems in general relativity. We show that with appropriate fine-tuning of the initial conditions to a region of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Frans Pretorius , Deepak Khurana