The Eikonal equation in flat space: Null surfaces and their singularities. I

DOI10.1063/1.532777zbMath1059.83508arXivgr-qc/9809019OpenAlexW2090862139MaRDI QIDQ4701722

Ezra T. Newman, Simonetta Frittelli, Gilberto Silva-Ortigoza

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9809019

Mathematics Subject Classification ID

Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Theory of singularities and catastrophe theory (58K99)

Related Items (10)

Lightlike hypersurfaces along spacelike submanifolds in de Sitter space ⋮ Lightlike hypersurfaces along spacelike submanifolds in Minkowski space-time ⋮ Hamilton-Jacobi equation and the breaking of the WKB approximation ⋮ The theory of caustics and wave front singularities with physical applications ⋮ Null surfaces formulation in three dimensions ⋮ Null surfaces and their singularities in three-dimensional Minkowski space-time ⋮ Pseudo-Z symmetric space-times ⋮ A note on the null surface formulation of GR ⋮ Singularities of lightlike hypersurfaces in Minkowski four-space ⋮ Gravitational lensing from a spacetime perspective

Cites Work

• Theory of light cone cuts of null infinity
• Characteristic initial data and wavefront singularities in general relativity
• On the dynamics of characteristic surfaces
• GR via characteristic surfaces
• Caustics of wavefronts in general relativity

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