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We report on numerical simulations of critical phenomena near the threshold of black hole formation in the collapse of axisymmetric gravitational waves in vacuum. We discuss several new features of our numerical treatment, and then compare…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Thomas W. Baumgarte , Carsten Gundlach , David Hilditch

The thermodynamics of charged topological black holes (TBHs) with different horizon geometries in $d$-dimensional Einstein-Maxwell and 4-dimensional conformal gravities is revisited using the restricted phase space formalism. The concept of…

High Energy Physics - Theory · Physics 2023-09-27 Tao Wang , Zhiqiang Zhang , Xiangqing Kong , Liu Zhao

We present a new approach for setting initial Cauchy data for multiple black hole spacetimes. The method is based upon adopting an initially Kerr-Schild form of the metric. In the case of non-spinning holes, the constraint equations take a…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Nigel T. Bishop , Richard Isaacson , Manoj Maharaj , Jeffrey Winicour

Binary black-hole coalescence is treated semi-analytically by a novel approach. Our prescription employs the conservative Skeleton Hamiltonian that describes orbiting Brill-Lindquist wormholes (termed punctures in Numerical Relativity)…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Achamveedu Gopakumar , Gerhard Schaefer

We study static black holes in quadratic gravity with planar and hyperbolic symmetry and non-extremal horizons. We obtain a solution in terms of an infinite power-series expansion around the horizon, which is characterized by two…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Alena Pravdova , Vojtech Pravda , Marcello Ortaggio

We show that it is possible to perturb arbitrary vacuum asymptotically flat spacetimes to new ones having exactly the same energy and linear momentum, but with center of mass and angular momentum equal to any preassigned values measured…

Differential Geometry · Mathematics 2015-05-19 Lan-Hsuan Huang , Richard Schoen , Mu-Tao Wang

Fine-tuning generic but smooth spherically-symmetric initial data for general relativity to the threshold of dynamical black hole formation creates arbitrarily large curvatures, mediated by a universal self-similar solution that acts as an…

We compare the results of constructing binary black hole initial data with three different decompositions of the constraint equations of general relativity. For each decomposition we compute the initial data using a superposition of two…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Harald P. Pfeiffer , Gregory B. Cook , Saul A. Teukolsky

We derive the interesting result that the two asymptotically flat Universes classically linked by the Einstein-Rosen bridge may also be quantum mechanically connected in their far out regions. This would be felt by the Newtonian potential…

General Relativity and Quantum Cosmology · Physics 2025-04-03 João Magueijo , Ganga Singh Manchanda

Initial data for evolving black-hole binaries can be constructed via many techniques, and can represent a wide range of physical scenarios. However, because of the way that different schemes parameterize the physical aspects of a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jason D. Grigsby , Gregory B. Cook

At early times in numerical evolutions of binary black holes, current simulations contain an initial burst of spurious gravitational radiation (also called "junk radiation") which is not astrophysically realistic. The spurious radiation is…

General Relativity and Quantum Cosmology · Physics 2009-06-10 Geoffrey Lovelace

In this study, we consider the time-symmetric initial data problem for GR minimally coupled with a phantom scalar field and a Maxwell field. The main focus is on initial data sets describing two interacting mouths of the same traversable…

General Relativity and Quantum Cosmology · Physics 2023-12-18 Alexey L. Smirnov

Trumpet geometries play an important role in numerical simulations of black hole spacetimes, which are usually performed under the assumption of asymptotic flatness. Our Universe is not asymptotically flat, however, which has motivated…

General Relativity and Quantum Cosmology · Physics 2017-12-20 Kenneth A. Dennison , Thomas W. Baumgarte

We study a solution of Einstein's equations that describes a straight cosmic string with a variable angular deficit, starting with a $2 \pi$ deficit at the core. We show that the coordinate singularity associated to this defect can be…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Rodrigo M Aros , Nelson Zamorano

We construct perturbations of Minkowski spacetime in general relativity, when given initial data that decays inverse polynomially to initial data of a Kerr spacetime towards spacelike infinity. We show that the perturbations admit a regular…

General Relativity and Quantum Cosmology · Physics 2025-10-03 Andrea Nützi

We revisit the question of the imposition of initial data representing astrophysical gravitational perturbations of black holes. We study their dynamics for the case of nonrotating black holes by numerically evolving the Teukolsky equation…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Manuela Campanelli , William Krivan , Carlos O. Lousto

We present a new initial data formulation to solve the full set of Einstein equations for spacetimes that contain a black hole under general conditions. The method can be used to construct complete initial data for spacetimes (the full…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Antonios Tsokaros , Kōji Uryū , Stuart L. Shapiro

We study the collision of two slowly rotating, initially non boosted, black holes in the close limit. A ``punctures'' modification of the Bowen - York method is used to construct conformally flat initial data appropriate to the problem. We…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Reinaldo J. Gleiser , Alfredo E. Dominguez

Recent work on an approach to the geometrodynamics of cylindrical gravity waves in the presence of interacting scalar matter fields, based on the Kucha\v{r} hypertime formalism, is extended to the analogous spherically symmetric system.…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Stephen P. Braham

We study the spherically symmetric collapse of a real, minimally coupled, massive scalar field in an asymptotically Einstein-de Sitter spacetime background. By means of an eikonal approximation for the field and metric functions, we obtain…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergio M. C. V. Goncalves