General relativistic null-cone evolutions with a high-order scheme

DOI10.1007/s10714-013-1513-1zbMath1269.83014arXiv1208.3891OpenAlexW2068857485MaRDI QIDQ2376014

Nigel T. Bishop, Denis Pollney, Christian Reisswig

Publication date: 26 June 2013

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3891

zbMATH Keywords

wave propagation and interactionsgravitational-wave astrophysicscharacteristic evolutionsnumerical studies of black holes and black-hole binarieswave generation and sources

Mathematics Subject Classification ID

Black holes (83C57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Computational methods for problems pertaining to relativity and gravitational theory (83-08) Gravitational waves (83C35) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Radiative transfer in astronomy and astrophysics (85A25) General questions in astronomy and astrophysics (85A04)

Related Items (5)

Extraction of gravitational waves in numerical relativity ⋮ Gravitational radiation by point particle eccentric binary systems in the linearised characteristic formulation of general relativity ⋮ Gauge invariant spectral Cauchy characteristic extraction ⋮ The evolution of hyperboloidal data with the dual foliation formalism: mathematical analysis and wave equation tests ⋮ AN INTRODUCTION TO WELL-POSEDNESS AND FREE-EVOLUTION

Uses Software

• Cactus
• Einstein Toolkit
• Carpet

Cites Work

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• Evolution of scalar fields from characteristic data
• Computing Fourier transforms and convolutions on the 2-sphere
• Optimized high-order derivative and dissipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions
• The Einstein Toolkit: a community computational infrastructure for relativistic astrophysics
• Binary black hole waveform extraction at null infinity
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Characteristic extraction in numerical relativity: binary black hole merger waveforms at null infinity
• Advanced General Relativity
• The eth formalism in numerical relativity
• Einstein equations in the null quasispherical gauge
• On vector potential of the Coulomb gauge
• Evolutions in 3D numerical relativity using fixed mesh refinement
• Towards standard testbeds for numerical relativity
• Cauchy-Characteristic Matching: A New Approach to Radiation Boundary Conditions
• Characteristic evolutions in numerical relativity using six angular patches
• Linearized solutions of the Einstein equations within a Bondi–Sachs framework, and implications for boundary conditions in numerical simulations
• Spin-s Spherical Harmonics and ð
• Characteristic evolution and matching

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