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We simulate the behaviour of a Higgs-like field in the vicinity of a Schwarzschild black hole using a highly accurate numerical framework. We consider both the limit of the zero-temperature Higgs potential, and a toy model for the…

General Relativity and Quantum Cosmology · Physics 2018-02-13 Dina Traykova , Jonathan Braden , Hiranya V. Peiris

We numerically construct static localized black holes in five and six spacetime dimensions which are solutions to Einstein's vacuum field equations with one compact periodic dimension. In particular, we investigate the critical regime in…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Michael Kalisch , Sebastian Moeckel , Martin Ammon

We present an overview of recent developments in numerical relativity studies of higher dimensional spacetimes with a focus on time evolutions of black-hole systems. After a brief review of the numerical techniques employed for these…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Ulrich Sperhake

Over the last few years enormous progress has been made in the numerical description of the inspiral and merger of binary black holes. A particular effort has gone into the modelling of the physical properties of the final black hole,…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Luciano Rezzolla

We construct a large class of dynamical vacuum black hole spacetimes whose exterior geometry asymptotically settles down to a fixed Schwarzschild or Kerr metric. The construction proceeds by solving a backwards scattering problem for the…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Mihalis Dafermos , Gustav Holzegel , Igor Rodnianski

We consider combining two important methods for constructing quasi-equilibrium initial data for binary black holes: the conformal thin-sandwich formalism and the puncture method. The former seeks to enforce stationarity in the conformal…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mark D. Hannam , Charles R. Evans , Gregory B. Cook , Thomas W. Baumgarte

We analyze the transformation of a very broad class of metrics that can be expressed in terms of static coordinates. Starting from a general ansatz, we obtain a relation for the parameters in which one can impose further symmetries or…

General Relativity and Quantum Cosmology · Physics 2024-08-19 Edgar A. León , Andrés Sandoval-Rodríguez

We construct novel scalarized black hole (BH) solutions beyond the general relativity (GR) framework. These scalarized BH solutions are extended from the Schwarzschild one and the non-Schwarzschild one in the pure Einstein-Weyl gravity. By…

General Relativity and Quantum Cosmology · Physics 2024-01-10 Xi-Jing Wang , Guoyang Fu , Peng Liu , Xiao-Mei Kuang , Bin Wang , Jian-Pin Wu

We model the structure and evolution of black hole accretion disks, and their neighboring regions, using numerical simulations. The numerics is governed by the equations of general relativistic magneto-hydrodynamics (GRMHD). In particular,…

High Energy Astrophysical Phenomena · Physics 2018-06-25 Agnieszka Janiuk , Kostas Sapountzis , Jeremy Mortier , Ireneusz Janiuk

A highly accurate computer program is used to study axially symmetric and stationary spacetimes containing a Black Hole surrounded by a ring of matter. It is shown that the matter ring affects the properties of the Black Hole drastically.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David Petroff , Marcus Ansorg

We discuss properties of a 4-dimensional Schwarzschild black hole in a spacetime where one of the spatial dimensions is compactified. As a result of the compactification the event horizon of the black hole is distorted. We use Weyl…

High Energy Physics - Theory · Physics 2009-11-10 Andrei V. Frolov , Valeri P. Frolov

We present preliminary results in our long-term project of studying the evolution of matter in a dynamical spacetime. To achieve this, we have developed a new code to evolve axisymmetric initial data sets corresponding to a black hole…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. R. Brandt , J. A. Font

We continue to study the response of black-hole space-times on the presence of additional strong sources of gravity. Restricting ourselves to static and axially symmetric (electro-)vacuum exact solutions of Einstein's equations, we first…

General Relativity and Quantum Cosmology · Physics 2016-08-23 M. Basovník , O. Semerák

We provide a detailed analysis of several aspects of the turduckening technique for evolving black holes. At the analytical level we study the constraint propagation for a general family of BSSN-type formulation of Einstein's field…

General Relativity and Quantum Cosmology · Physics 2010-05-07 David Brown , Peter Diener , Olivier Sarbach , Erik Schnetter , Manuel Tiglio

A popular approach in numerical simulations of black hole binaries is to model black holes as punctures in the fabric of spacetime. The location and the properties of the black hole punctures are tracked with apparent horizons, namely…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Christopher Evans , Deborah Ferguson , Bhavesh Khamesra , Pablo Laguna , Deirdre Shoemaker

We show that the Kantowski--Sachs model of a Schwarzschild black hole interior can be slightly generalized in order to accommodate spatial metrics of different orientations, and in this formulation the equations of motion admit a variable…

General Relativity and Quantum Cosmology · Physics 2022-08-17 Flavio Mercati , David Sloan

We deduce a new formula for the perihelion advance of a test particle in the Schwarzschild black hole by applying a newly developed non-linear transformation within the Schwarzschild space-time. By this transformation we are able to apply…

General Relativity and Quantum Cosmology · Physics 2011-06-13 H. -J. Schmidt

About twenty years ago, Choptuik studied numerically the gravitational collapse (Einstein field equations) of a massless scalar field in spherical symmetry, and found strong evidence for a universal, self-similar solution at the threshold…

General Relativity and Quantum Cosmology · Physics 2020-05-08 Michael Reiterer , Eugene Trubowitz

We investigate how a spherically symmetric fluid modifies the Schwarzschild vacuum solution when there is no exchange of energy-momentum between the fluid and the central source of the Schwarzschild metric. This system is described by means…

General Relativity and Quantum Cosmology · Physics 2018-11-26 J Ovalle , R Casadio , R da Rocha , A Sotomayor , Z Stuchlik

We analyze the statistical mechanics of a gas of neutral and charged black holes. The microcanonical ensemble is the only possible approach to this system, and the equilibrium configuration is the one for which most of the energy is carried…

High Energy Physics - Theory · Physics 2009-10-22 B. Harms , Y. Leblanc