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We describe an explicit in time, finite-difference code designed to simulate black holes by using the excision method. The code is based upon the harmonic formulation of the Einstein equations and incorporates several features regarding the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bela Szilagyi , Denis Pollney , Luciano Rezzolla , Jonathan Thornburg , Jeffrey Winicour

Scalar-Gauss-Bonnet (sGB) gravity with an additional coupling between the scalar field and the Ricci scalar exhibits very interesting properties related to black hole stability, evasion of binary pulsar constraints, and general relativity…

General Relativity and Quantum Cosmology · Physics 2024-04-25 Daniela D. Doneva , Llibert Aresté Saló , Stoytcho S. Yazadjiev

We consider the model of modified gravity with dynamical torsion. This model was previously found to have promising stability properties about various backgrounds. Here we study the stability of linear perturbations about the…

High Energy Physics - Theory · Physics 2017-11-06 V. Nikiforova

We present the first fully nonlinear study on the accretion of scalar fields onto a seed black hole in anti-de Sitter spacetime in Einstein-Maxwell-scalar theory. Intrinsic critical phenomena in the dynamical transition between the bald and…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Cheng-Yong Zhang , Qian Chen , Yunqi Liu , Wen-Kun Luo , Yu Tian , Bin Wang

We study the stability of static as well as of rotating and charged black holes in (4+1)-dimensional Anti-de Sitter space-time which possess spherical horizon topology. We observe a non-linear instability related to the condensation of a…

High Energy Physics - Theory · Physics 2015-06-03 Y. Brihaye , B. Hartmann

Recent demonstrations of unexcised black holes traversing across computational grids represent a significant advance in numerical relativity. Stable and accurate simulations of multiple orbits, and their radiated waves, result. This…

General Relativity and Quantum Cosmology · Physics 2008-11-26 James R. van Meter , John G. Baker , Michael Koppitz , Dae-Il Choi

We perform the stability analysis of the Kerr black hole in the Einstein-Chern-Simons-Scalar theory with quadratic scalar coupling. For positive coupling parameter ($\alpha>0$), we introduce the (2+1)-dimensional hyperboloidal foliation…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Yun Soo Myung , De-Cheng Zou

We analyze the excision strategy for simulating black holes. The problem is modeled by the propagation of quasi-linear waves in a 1-dimensional spatial region with timelike outer boundary, spacelike inner boundary and a horizon in between.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. Szilagyi , H-O. Kreiss , J. Winicour

A numerical solution scheme for the Einstein field equations based on generalized harmonic coordinates is described, focusing on details not provided before in the literature and that are of particular relevance to the binary black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Frans Pretorius

Nonrotating and rotating black hole soltuions in (2+1) dimensions are studied in a model including a real scalar field with a simple potential coupled to gravity.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yoshitaka Degura , Kenji Sakamoto , Kiyoshi Shiraishi

We experiment with several new modifications for the Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation of the Einstein field equations and demonstrate how these modifications affect the stability of numerical black hole evolution…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Hwei-Jang Yo , Chun-Yu Lin , Zhoujian Cao

We present here an alternative approach to data setting for spacetimes with multiple moving black holes generalizing the Kerr-Schild form for rotating or non-rotating single black holes to multiple moving holes. Because this scheme…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Richard A. Matzner , Mijan F. Huq , Deirdre Shoemaker

In the present paper, we construct spontaneously scalarized rotating black hole solutions in dynamical Chern-Simons (dCS) gravity by following the scalar field evolution in the decoupling limit. For the range of parameters where the Kerr…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Daniela D. Doneva , Stoytcho S. Yazadjiev

We investigate the late time behavior of a scalar field on a fixed Kerr background using a 2+1 dimensional pseudospectral evolution code. We compare evolutions of pure axisymmetric multipoles in both Kerr-Schild and Boyer-Lindquist…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Manuel Tiglio , Lawrence Kidder , Saul Teukolsky

We present the numerical evolution of a massive test scalar fields around a Schwarzschild space-time. We proceed by using hyperboloidal slices that approach future null infinity, which is the boundary of scalar fields, and also demand the…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-01 A. Cruz-Osorio , F. S. Guzman , F. D. Lora-Clavijo

We present a numerical work aiming at the computation of excised initial data for black hole spacetimes in full general relativity, using Dirac gauge in the context of a constrained formalism for the Einstein equations. Introducing the…

General Relativity and Quantum Cosmology · Physics 2009-06-30 Nicolas Vasset , Jérôme Novak , José Luis Jaramillo

We present the numerical implementation of a clean solution to the outer boundary and radiation extraction problems within the 3+1 formalism for hyperbolic partial differential equations on a given background. Our approach is based on…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Anil Zenginoglu , Lawrence E. Kidder

We model a radiating, moving black hole in terms of a worldtube-nullcone boundary value problem. We evolve this data in the region interior to the worldtube but exterior to a trapped surface by means of a characteristic evolution based upon…

General Relativity and Quantum Cosmology · Physics 2009-10-30 R. Gomez , L. Lehner , R. L. Marsa , J. Winicour

A numerical study of the evolution of a massless scalar field in the background of rotating black holes is presented. First, solutions to the wave equation are obtained for slowly rotating black holes. In this approximation, the background…

General Relativity and Quantum Cosmology · Physics 2009-12-30 W. Krivan , P. Laguna , P. Papadopoulos

Based on the hyperboloidal framework, we research the dynamical process of charged de Sitter black holes scattered by a charged scalar field. From the linear perturbation analysis, with the coupling strength within a critical interval, the…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Zhen-Tao He , Qian Chen , Yu Tian , Cheng-Yong Zhang , Hongbao Zhang