The affine-null metric formulation of Einstein's equations

Abstract

The details are presented of a new evolution algorithm for the characteristic initial-boundary value problem based upon an affine parameter rather than the areal radial coordinate used in the Bondi-Sachs formulation. The advantages over the Bondi-Sachs version are discussed, with particular emphasis on the application to the characteristic extraction of the gravitational waveform from Cauchy simulations of general relativistic astrophysical systems.

Version to appear in Physical Review D

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Cited by in corpus (15)

• BMS-like symmetries in cosmology
• The Wald-Zoupas prescription for asymptotic charges at null infinity in general relativity
• Affine-null metric formulation of General Relativity at two intersecting null hypersurfaces
• Hyperbolicity of General Relativity in Bondi-like gauges
• The affine-null formulation of the gravitational equations: spherical case
• Violation of energy conditions and entropy production in holographic Bjorken flow
• Gauge structure of the Einstein field equations in Bondi-like coordinates
• Simulations of gravitational collapse in null coordinates: I. Formulation and weak-field tests in generalised Bondi gauges
• Slowly rotating Kerr metric derived from the Einstein equations in affine-null coordinates
• Horizons as boundary conditions in spherical symmetry
• Characteristic initial value problems for the Einstein-Maxwell-scalar field equations in spherical symmetry
• Kerr black hole in the formalism of isolated horizons
• Conformal compactification and affine-null metric formulation of the Einstein equations
• Spherically symmetric black holes and affine-null metric formulation of Einstein's equations
• Hierarchical formulation of the self-gravitating, n-dimensional, charged scalar field in spherical symmetry in affine null formalism