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A new, exact and analytical class of accelerating and charged black holes is built, in the Einstein-Maxwell theory, thanks to the Harrison transformation. The diagonal metric does not belong to the Petrov type D classification, therefore it…

General Relativity and Quantum Cosmology · Physics 2023-12-14 Marco Astorino

Currently the most popular method to evolve black-hole binaries is the ``moving puncture'' method. It has recently been shown that when puncture initial data for a Schwarzschild black hole are evolved using this method, the numerical slices…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Mark Hannam , Sascha Husa , Niall Ó Murchadha , Bernd Brügmann , José A. González , Ulrich Sperhake

We prove a strong localized gluing result for the general relativistic constraint equations (with or without cosmological constant) in $n\geq 3$ spatial dimensions. We glue an $\epsilon$-rescaling of an asymptotically flat data set…

Analysis of PDEs · Mathematics 2022-10-26 Peter Hintz

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

Solving the 4-d Einstein equations as evolution in time requires solving equations of two types: the four elliptic initial data (constraint) equations, followed by the six second order evolution equations. Analytically the constraint…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Matthew Anderson , Richard A. Matzner

According to a variant of the hoop conjecture, if we localize two particles within the Schwarzschild radius corresponding to their center of mass energy, then a black hole will form. Despite a large body of work on the formation of…

General Relativity and Quantum Cosmology · Physics 2018-06-01 Anshul Saini , Dejan Stojkovic

We study various aspects of black holes and gravitational collapse in Einstein-Yang-Mills theory under the assumption of spherical symmetry. Numerical evolution on hyperboloidal surfaces extending to future null infinity is used. We begin…

General Relativity and Quantum Cosmology · Physics 2015-01-06 Oliver Rinne

The ability to model the evolution of compact binaries from the inspiral to coalescence is central to gravitational wave astronomy. Current waveform catalogues are built from vacuum binary black hole models, by evolving Einstein equations…

General Relativity and Quantum Cosmology · Physics 2022-05-20 Lorenzo Annulli , Vitor Cardoso , Leonardo Gualtieri

The progenitor evolution of the massive X-ray binary Wray 977 is investigated using new models of massive close binary evolution. These models yield constraints on the mass limit for neutron star/black hole formation in single stars, M_BH.…

Astrophysics · Physics 2007-05-23 S. Wellstein , N. Langer

Understanding the behaviour of linear waves on black hole backgrounds is a central problem in general relativity, intimately connected with the nonlinear stability of the black hole spacetimes themselves as solutions to the Einstein…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Mihalis Dafermos

Recent efforts to numerically simulate compact objects in alternative theories of gravity have largely focused on the time-evolution equations. Another critical aspect is the construction of constraint-satisfying initial data with precise…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Peter James Nee , Guillermo Lara , Harald P. Pfeiffer , Nils L. Vu

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 propose that a large Schwarzschild black hole (BH) is a bound state of highly excited, long, closed strings at the Hagedorn temperature. The size of the bound state is smaller than the string random-walk scale and determined dynamically…

High Energy Physics - Theory · Physics 2017-04-26 Ram Brustein , A. J. M. Medved

In this paper we study a numerical implementation for the initial boundary value formulation for the generalized conformal field equations. We propose a formulation which is well suited for the study of the long-time behaviour of perturbed…

General Relativity and Quantum Cosmology · Physics 2017-10-18 Florian Beyer , Jörg Frauendiener , Chris Stevens , Ben Whale

COCAL is a code for computing equilibriums or quasiequilibrium initial data of single or binary compact objects based on finite difference methods. We present the results of supplementary convergence tests of COCAL code using time symmetric…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Koji Uryu , Antonios Tsokaros , Philippe Grandclement

Dynamical black holes in the non-perturbative regime are not mathematically well understood. Studying approximate symmetries of spacetimes describing dynamical black holes gives an insight into their structure. Utilising the property that…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Robert Sansom , Juan A. Valiente Kroon

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 present long term evolutions of a single black hole of mass $M$ with the BSSN system using pseudospectral methods. For our simulations we use the SGRID code where the BSSN system is implemented in its standard second order in space form.…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Wolfgang Tichy

We construct approximate initial data for non-spinning black hole binary systems by asymptotically matching the 4-metrics of two tidally perturbed Schwarzschild solutions in isotropic coordinates to a resummed post-Newtonian 4-metric in…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Nicolas Yunes , Wolfgang Tichy

Scenarios of large extra dimensions have enhanced the importance for the study of black holes in higher dimensions. In this paper, we analyze an axisymmetric system of two black holes. Specifically, the Bowen-York method is generalized for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hirotaka Yoshino , Tetsuya Shiromizu , Masaru Shibata