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We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

广义相对论与量子宇宙学 · 物理学 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola

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

Extreme mass-ratio inspirals are among the key sources of gravitational waves for the Laser Interferometer Space Antenna space-based gravitational-wave detector. Achieving sufficient accuracy in the gravitational-wave template for these…

广义相对论与量子宇宙学 · 物理学 2025-11-14 Gabriel Andres Piovano , Christiana Pantelidou , Jake Mac Uilliam , Vojtěch Witzany

When using the black hole exclusion (horizon boundary condition) technique, $K$ is usually nonzero and spatially variable, so none of the special cases of York's conformal-decomposition algorithm apply, and the full 4-vector nonlinear York…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Jonathan Thornburg

We study deformations of axially symmetric initial data for Einstein-Maxwell equations satisfying the time-rotation ($t$-$\phi$) symmetry and containing one asymptotically cylindrical end and one asymptotically flat end. We find that the…

广义相对论与量子宇宙学 · 物理学 2016-05-25 Andrés Aceña , María E. Gabach Clément

We show that at 1PN all four-dimensional black hole solutions in asymptotically flat spacetimes can be derived from leading singularities involving minimally coupled three-particle amplitudes. Furthermore, we show that the rotating…

高能物理 - 理论 · 物理学 2020-01-29 Nathan Moynihan

We have implemented a parallel multigrid solver, to solve the initial data problem for 3+1 General Relativity. This involves solution of elliptic equations derived from the Hamiltonian and the momentum constraints. We use the conformal…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Scott H. Hawley , Michael J. Vitalo , Richard A. Matzner

Near-future, space-based, radio- and gravitational-wave interferometry missions will enable us to rigorously test whether the Kerr solution of general relativity accurately describes astrophysical black holes, or if it requires some kind of…

广义相对论与量子宇宙学 · 物理学 2023-07-12 Pablo A. Cano , Alexander Deich , Nicolás Yunes

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.…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Bernard J Kelly , Wolfgang Tichy , Manuela Campanelli , Bernard F Whiting

Recently, two of us have found a family of singularity-free rotating black hole solutions in Einstein's conformal gravity. These spacetimes are characterized by three parameters: the black hole mass $M$, the black hole spin angular momentum…

广义相对论与量子宇宙学 · 物理学 2018-07-06 Menglei Zhou , Zheng Cao , Askar Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Leonardo Modesto , Sourabh Nampalliwar

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…

广义相对论与量子宇宙学 · 物理学 2010-05-25 Bernard J. Kelly , Wolfgang Tichy , Yosef Zlochower , Manuela Campanelli , Bernard Whiting

A new approach to construct initial data for binary systems with neutron star components is introduced. The approach is a generalization of the puncture initial data method for binary black holes based on Bowen-York solutions to the…

广义相对论与量子宇宙学 · 物理学 2016-09-28 Michael Clark , Pablo Laguna

With the goal of taking a step toward the construction of astrophysically realistic initial data for numerical simulations of black holes, we for the first time derive a family of fully general relativistic initial data based on…

广义相对论与量子宇宙学 · 物理学 2008-11-26 W. Tichy , B. Bruegmann , M. Campanelli , P. Diener

In this paper we describe a model of a four-dimensional spherically symmetric black hole in a limiting curvature theory of gravity. In this theory the Einstein-Hilbert action is modified by adding to the action terms providing inequality…

广义相对论与量子宇宙学 · 物理学 2022-02-02 Valeri P. Frolov , Andrei Zelnikov

We take further steps in the development of the characteristic approach to enable handling the physical problem of a compact self-gravitating object, such as a neutron star, in close orbit around a black hole. We examine different options…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Nigel T. Bishop , Roberto Gomez , Luis Lehner , Manoj Maharaj , Jeffrey Winicour

We construct exact initial data for closed cosmological models filled with regularly arranged black holes in the presence of $\Lambda$. The intrinsic geometry of the 3-dimensional space described by this data is a sum of simple closed-form…

广义相对论与量子宇宙学 · 物理学 2017-03-15 Jessie Durk , Timothy Clifton

We find new classes of exact solutions of the initial momentum constraint for vacuum Einstein's equations. Considered data are either invariant under a continuous symmetry or they are assumed to have the exterior curvature tensor of a…

广义相对论与量子宇宙学 · 物理学 2018-01-01 J. Tafel , M. Jóźwikowski

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

广义相对论与量子宇宙学 · 物理学 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

Rapidly rotating black hole solutions in theories beyond general relativity play a key role in experimental gravity, as they allow us to compute observables in extreme spacetimes that deviate from the predictions of general relativity. Such…

广义相对论与量子宇宙学 · 物理学 2016-11-29 Robert McNees , Leo C. Stein , Nicolás Yunes

Black hole binaries on non-eccentric orbits form an important subclass of gravitational wave sources, but it is a non-trivial issue to construct numerical initial data with minimal initial eccentricity for numerical simulations. We compute…

广义相对论与量子宇宙学 · 物理学 2010-03-29 Benny Walther , Bernd Bruegmann , Doreen Mueller