The initial boundary value problem for free-evolution formulations of general relativity
DOI10.1088/1361-6382/aa96c6zbMath1382.83013arXiv1609.06925OpenAlexW3104464192MaRDI QIDQ4606565
Publication date: 8 March 2018
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.06925
boundary conditionsinitial value problemsnumerical relativityfree-evolution formulations of general relativity
Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Computational methods for problems pertaining to relativity and gravitational theory (83-08)
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Cites Work
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- Non-reflecting boundary conditions
- On the hyperbolicity of Einstein's and other gauge field equations
- On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
- The initial boundary value problem for Einstein's vacuum field equation
- Continuum and discrete initial-boundary value problems and Einstein's field equations
- Boundary conditions for coupled quasilinear wave equations with application to isolated systems
- Dynamical damping terms for symmetry-seeking shift conditions
- Evolution of three-dimensional gravitational waves: Harmonic slicing case
- BOUNDARY CONDITIONS FOR EINSTEIN'S FIELD EQUATIONS: MATHEMATICAL AND NUMERICAL ANALYSIS
- Towards absorbing outer boundaries in general relativity
- Spherical symmetry as a test case for unconstrained hyperboloidal evolution
- Hyperboloidal foliations and scri-fixing
- Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations
- Hyperboloidal evolution with the Einstein equations
- Toward a dynamical shift condition for unequal mass black hole binary simulations
- Time step size limitation introduced by the BSSN Gamma Driver
- Testing outer boundary treatments for the Einstein equations
- Implementation of higher-order absorbing boundary conditions for the Einstein equations
- Radiation boundary conditions for wave-like equations
- Hyperbolic slicings of spacetime: singularity avoidance and gauge shocks
- The Block Structure Condition for Symmetric Hyperbolic Systems
- Numerical relativity using a generalized harmonic decomposition
- Reducing orbital eccentricity in binary black hole simulations
- Improved outer boundary conditions for Einstein's field equations
- An axisymmetric evolution code for the Einstein equations on hyperboloidal slices
- Constraint-preserving boundary conditions in the Z4 numerical relativity formalism
- Regularity of the Einstein equations at future null infinity
- Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates
- Outer boundary conditions for Einstein's field equations in harmonic coordinates
- Introduction to 3+1 Numerical Relativity
- Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation tests
- Hyperbolicity of second order in space systems of evolution equations
- Problems which are well posed in a generalized sense with applications to the Einstein equations
- A new generalized harmonic evolution system
- Initial boundary value problems for hyperbolic systems
- Constraint damping in the Z4 formulation and harmonic gauge
- Conformal infinity
- Characteristic evolution and matching
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