Stable singularities of wave-fronts in general relativity

DOI10.1063/1.532257zbMath1001.83006arXivgr-qc/0108012OpenAlexW1967317732MaRDI QIDQ4260477

Robert J. Low

Publication date: 8 December 2002

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0108012

zbMATH Keywords

null geodesicsstable singularities

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Equations of motion in general relativity and gravitational theory (83C10) Geometric optics (78A05) Stability theory for manifolds (58K25)

Related Items (16)

The space of light rays: causality and \(L\)-boundary ⋮ Wavefronts, caustic sheets, and caustic surfing in gravitational lensing ⋮ Conjectures about virtual Legendrian knots and links ⋮ Khovanov homology and causality in spacetimes ⋮ A conformal boundary for space-times based on light-like geodesics: The 3-dimensional case ⋮ L-extensions and L-boundary of conformal spacetimes ⋮ Mathematics of gravitational lensing: Multiple imaging and magnification ⋮ A Gutzwiller trace formula for stationary space-times ⋮ Mapped null hypersurfaces and Legendrian maps ⋮ The Hawking energy on the past lightcone in cosmology ⋮ Legendrian links, causality, and the low conjecture ⋮ Gravitational lensing from a spacetime perspective ⋮ Topological properties of manifolds admitting a \(Y^x\)-Riemannian metric ⋮ Linking and causality in globally hyperbolic space-times ⋮ Graded Poisson algebras on bordism groups of garlands ⋮ Refocusing of light rays in space-time

Cites Work

• Characteristic initial data and wavefront singularities in general relativity
• The geometry of the space of null geodesics
• Twistor linking and causal relations
• Caustics of wavefronts in general relativity

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