An axisymmetric evolution code for the Einstein equations on hyperboloidal slices

DOI10.1088/0264-9381/27/3/035014zbMath1186.83009arXiv0910.0139OpenAlexW2169932723MaRDI QIDQ5305363

Oliver Rinne

Publication date: 22 March 2010

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0139

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Computational methods for problems pertaining to relativity and gravitational theory (83-08)

Related Items (12)

Type II critical collapse on a single fixed grid: a gauge-driven ingoing boundary method ⋮ Black-hole binaries, gravitational waves, and numerical relativity ⋮ Axisymmetric fully spectral code for hyperbolic equations ⋮ The initial boundary value problem for free-evolution formulations of general relativity ⋮ The evolution of hyperboloidal data with the dual foliation formalism: mathematical analysis and wave equation tests ⋮ Spherical symmetry as a test case for unconstrained hyperboloidal evolution II: gauge conditions ⋮ The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model ⋮ The hyperboloidal numerical evolution of a good-bad-ugly wave equation ⋮ Hyperboloidal framework for the Kerr spacetime ⋮ The non-linear perturbation of a black hole by gravitational waves. I. The Bondi–Sachs mass loss ⋮ AN INTRODUCTION TO WELL-POSEDNESS AND FREE-EVOLUTION ⋮ Continuum and discrete initial-boundary value problems and Einstein's field equations

Uses Software

• REDUCE

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