Numerical investigations of the asymptotics of solutions to the evolutionary form of the constraints

DOI10.1088/1361-6382/ab8fcezbMath1478.83040arXiv1911.02900OpenAlexW3098073239MaRDI QIDQ5161851

Károly Z. Csukás, István Rácz

Publication date: 1 November 2021

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

Full work available at URL: https://arxiv.org/abs/1911.02900

zbMATH Keywords

black holesconstraint equationsnumerical relativity

Mathematics Subject Classification ID

Black holes (83C57) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Constrained dynamics, Dirac's theory of constraints (70H45) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (2)

On the construction of Riemannian three-spaces with smooth inverse mean curvature foliation ⋮ Asymptotically hyperboloidal initial data sets from a parabolic–hyperbolic formulation of the Einstein vacuum constraints

Cites Work

• Unnamed Item
• Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
• Toward computing gravitational initial data without elliptic solvers
• Asymptotics of solutions of a hyperbolic formulation of the constraint equations
• Numerical construction of initial data sets of binary black hole type using a parabolic-hyperbolic formulation of the vacuum constraint equations
• Cauchy problem as a two-surface based ‘geometrodynamics’
• Constraints as evolutionary systems
• Asymptotically flat initial data with prescribed regularity at infinity.

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