Global simulations of Minkowski space-time including space-like infinity

Abstract

In this work, we study linearised gravitational fields on the entire Minkowski space-time including space-like infinity. The generalised conformal field equations linearised about a Minkowski background are utilised for this purpose. In principle, this conformal representation of Einstein's equations can be used to carry out global simulations of Minkowski space-time. We investigate thoroughly this possibility.

arXiv comment25 pages, 8 figures

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Cited by in corpus (11)

• Hyperbolicity of General Relativity in Bondi-like gauges
• The Weak Null Condition in Free-evolution Schemes for Numerical Relativity: Dual Foliation GHG with Constraint Damping
• Gauge structure of the Einstein field equations in Bondi-like coordinates
• The numerical initial boundary value problem for the generalized conformal field equations
• COFFEE -- An MPI-parallelized Python package for the numerical evolution of differential equations
• Numerical convergence of model Cauchy-characteristic extraction and matching
• Peeling in Generalized Harmonic Gauge
• Linearised conformal Einstein field equations
• Spectral methods for the spin-2 equation near the cylinder at spatial infinity
• Explorations of the infinite regions of space-time
• The space spinor formalism and estimates for spinor fields