Results 61 to 70 of about 94,165 (223)

Spherically symmetric black hole spacetimes on hyperboloidal slices

open access: yesFrontiers in Applied Mathematics and Statistics, 2023
Gravitational radiation and some global properties of spacetimes can only be unambiguously measured at future null infinity (ℐ+). This motivates the interest in reaching it within simulations of coalescing compact objects, whose waveforms are extracted ...
Alex Vañó-Viñuales
doaj   +1 more source

Actively learning numerical relativity

open access: yesPhysical Review D
Data analysis of gravitational waves detected by the Ligo-Virgo-Kagra collaboration and future observatories relies on precise modelling of the sources. In order to build, calibrate and validate current models, we resort to expensive simulations in Numerical Relativity (NR), the fully-fledged simulation of Einstein's Equations.
Tomas Andrade   +2 more
openaire   +2 more sources

Numerical Hydrodynamics in General Relativity

open access: yesLiving Reviews in Relativity, 2003
The current status of numerical solutions for the equations of ideal general relativistic hydrodynamics is reviewed. With respect to an earlier version of the article, the present update provides additional information on numerical schemes, and extends ...
Font José A.
doaj  

Post-Newtonian Initial Data with Waves: Progress in Evolution

open access: yes, 2010
In Kelly et al. [Phys. Rev. D, 76:024008, 2007], we presented new binary black-hole initial data adapted to puncture evolutions in numerical relativity.
Campanelli, Manuela   +4 more
core   +1 more source

Illustrating Stability Properties of Numerical Relativity in Electrodynamics [PDF]

open access: yes, 2002
We show that a reformulation of the ADM equations in general relativity, which has dramatically improved the stability properties of numerical implementations, has a direct analogue in classical electrodynamics. We numerically integrate both the original
A. Anderson   +18 more
core   +2 more sources

Numerical Approaches to Spacetime Singularities

open access: yesLiving Reviews in Relativity, 2002
This Living Review updates a previous version which is itself an update of a review article. Numerical exploration of the properties of singularities could, in principle, yield detailed understanding of their nature in physically realistic cases ...
Berger Beverly K.
doaj  

A Novel Logarithmic Approach to General Relativistic Hydrodynamics in Dynamical Spacetimes

open access: yesUniverse
We introduce a novel logarithmic approach within the Baumgarte–Shapiro–Shibata–Nakamura (BSSN) formalism for self-consistently solving the equations of general relativistic hydrodynamics (GRHD) in evolving curved spacetimes. This method employs a “3 + 1”
Mario Imbrogno   +3 more
doaj   +1 more source

Numerical modeling of black holes as sources of gravitational waves in a nutshell

open access: yes, 2008
These notes summarize basic concepts underlying numerical relativity and in particular the numerical modeling of black hole dynamics as a source of gravitational waves.
Husa, Sascha
core   +1 more source

Characteristic Evolution and Matching

open access: yesLiving Reviews in Relativity, 2005
I review the development of numerical evolution codes for general relativity based upon the characteristic initial value problem. Progress is traced from the early stage of 1D feasibility studies to 2D axisymmetric codes that accurately simulate the ...
Winicour Jeffrey
doaj  

Merger states and final states of black hole coalescences: a numerical-relativity-assisted effective-one-body approach

open access: yes, 2013
We study to what extent the effective-one-body description of the dynamical state of a nonspinning, coalescing binary black hole (considered either at merger, or after ringdown) agrees with numerical relativity results.
Damour, Thibault   +2 more
core   +1 more source

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