Adaptive mesh and geodesically sliced Schwarzschild spacetime in 3+1 dimensions
arXiv:gr-qc/9608050 · doi:10.1103/PhysRevD.54.7361
Abstract
We present first results obtained with a 3+1 dimensional adaptive mesh code in numerical general relativity. The adaptive mesh is used in conjunction with a standard ADM code for the evolution of a dynamically sliced Schwarzschild spacetime (geodesic slicing). We argue that adaptive mesh is particularly natural in the context of general relativity, where apart from adaptive mesh refinement for numerical efficiency one may want to use the built in flexibility to do numerical relativity on coordinate patches.
21 pages, LaTeX, 7 figures included with epsf
References in corpus (8)
- Towards a Singularity-Proof Scheme in Numerical Relativity
- Three dimensional numerical relativity: the evolution of black holes
- Horizon Boundary Condition for Black Hole Spacetimes
- 4d Simplicial Quantum Gravity with a Non-Trivial Measure
- Dynamics of Apparent and Event Horizons
- Implementing an apparent-horizon finder in three dimensions
- Non-uniform measure in 4d simplicial quantum gravity
- Monte Carlo simulations of 4d simplicial quantum gravity
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