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We study the numerical implementation of a set of boundary conditions derived from the isolated horizon formalism, and which characterize a black hole whose horizon is in quasi-equilibrium. More precisely, we enforce these geometrical…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. L. Jaramillo , M. Ansorg , F. Limousin

In response to LIGO's observation of GW170104, we performed a series of full numerical simulations of binary black holes, each designed to replicate likely realizations of its dynamics and radiation. These simulations have been performed at…

Higher-order gravitational wave modes from quasi-circular, spinning, non-precessing binary black hole mergers encode key information about these systems' nonlinear dynamics. We model these waveforms using transformer architectures,…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Victoria Tiki , Kiet Pham , Eliu Huerta

A gravitational wave (GW) signal carries imprints of the properties of its source. The ability to extract source properties crucially depends on our prior knowledge of the signal morphology. Even though binary black hole (BBH) mergers are…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Divyajyoti

A numerical study of the Einstein field equations, based on the 3+1 foliation of the spacetime, is presented. A pseudo-spectral technique has been employed for simulations in vacuum, within two different formalisms, namely the…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Claudio Meringolo , Sergio Servidio , Pierluigi Veltri

This paper treats boundary conditions on black hole horizons for the full 3+1D Einstein equations. Following a number of authors, the apparent horizon is employed as the inner boundary on a space slice. It is emphasized that a further…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Douglas M. Eardley

Absorbing layers are sometimes required to be impractically thick in order to offer an accurate approximation of an absorbing boundary condition for the Helmholtz equation in a heterogeneous medium. It is always possible to reduce an…

Numerical Analysis · Mathematics 2014-08-15 Rosalie Bélanger-Rioux

The evolution of black holes in "confining boxes" is interesting for a number of reasons, particularly because it mimics the global structure of Anti-de Sitter geometries. These are non-globally hyperbolic space-times and the Cauchy problem…

High Energy Physics - Theory · Physics 2010-12-23 Helvi Witek , Vitor Cardoso , Carlos Herdeiro , Andrea Nerozzi , Ulrich Sperhake , Miguel Zilhao

We present a new pseudo-spectral code for the simulation of evolution systems that are second order in space. We test this code by evolving a non-linear scalar wave equation. These non-linear waves can be stably evolved using very simple…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Wolfgang Tichy

We present new techniqes for evolving binary black hole systems which allow the accurate determination of gravitational waveforms directly from the wave zone region of the numerical simulations. Rather than excising the black hole…

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

Angular momentum and spin precession are expected to be generic features of a significant fraction of binary black hole systems. As such, it is essential to have waveform models that faithfully incorporate the effects of precession. Here,…

General Relativity and Quantum Cosmology · Physics 2024-02-13 Jake Mac Uilliam , Sarp Akcay , Jonathan E. Thompson

We demonstrate a full-wave numerical Maxwell-Bloch simulation tool including perfectly matched layer (PML) absorbing boundary conditions. To avoid detrimental reflection errors at the boundary of the simulation domain, an adapted PML model…

Computational Physics · Physics 2023-10-25 Johannes Popp , Lukas Seitner , Michael Haider , Christian Jirauschek

Electromagnetism plays an important role in a variety of applications in gravity that we wish to investigate. To that end, in this work, we present an implementation of the Maxwell equations within the adaptive-mesh pseudospectral numerical…

General Relativity and Quantum Cosmology · Physics 2025-11-07 Jorge Expósito Patiño , Hannes R. Rüter , David Hilditch

Optimal extraction of information from gravitational-wave observations of binary black-hole coalescences requires detailed knowledge of the waveforms. Current approaches for representing waveform information are based on spin-weighted…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Bernard J. Kelly , John G. Baker

In this work, we propose a SPH interpolating Kernel reformulation suitable also to treat free edge boundaries in the computational domain. Application to both inviscid and viscous stationary low compressibility accretion disc models in…

Fluid Dynamics · Physics 2015-05-19 G. Lanzafame

This paper uses linear magnetohydrodynamics to model resonant absorption in coronal plasma with a Cartesian coordinate system. We impose line-tied boundary conditions and tilt the background magnetic field to be oblique to the transition…

Solar and Stellar Astrophysics · Physics 2021-04-22 A. P. K. Prokopyszyn , A. N. Wright , A. W. Hood

We have carried out simulations of the coalescence between two relativistic clusters of collisionless particles using a 3D numerical relativity code. We have adopted a new spatial gauge condition obtained by slightly modifying the minimum…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Masaru Shibata

The plunge-merger stage of the binary-black hole coalescence, when the bodies' velocities reach a large fraction of the speed of light and the gravitational-wave luminosity peaks, provides a unique opportunity to probe gravity in the…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Elisa Maggio , Hector O. Silva , Alessandra Buonanno , Abhirup Ghosh

We extend a new finite element code, Einstein PHG (iPHG), to solve the evolution part of Einstein equations in first-order GH formalism. This paper is the third one of a systematic investigation of applying adaptive finite element method to…

General Relativity and Quantum Cosmology · Physics 2018-10-18 Li-Wei Ji , Rong-Gen Cai , Zhoujian Cao

In this project, we simulate the collision of two and three black holes using NRPy+ (`Python-based code generation for numerical relativity and beyond') module and BSSN (Baumgarte-Shapiro-Shibata-Nakamura) formulation, and extract the…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Faisal Alotaibi
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