Generalized hyperbolicity in singular spacetimes

DOI10.1088/0264-9381/15/4/018zbMath0947.83035arXivgr-qc/9702033OpenAlexW3100619961MaRDI QIDQ4699654

C. J. S. Clarke

Publication date: 18 November 1999

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9702033

zbMATH Keywords

cosmic censorshipglobal hyperbolicityshell-crossing singularities

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) PDEs in connection with relativity and gravitational theory (35Q75) Hyperbolic equations on manifolds (58J45)

Related Items (13)

Global hyperbolicity for spacetimes with continuous metrics ⋮ Unnamed Item ⋮ 𝐻¹ solutions on curve integrable spacetimes ⋮ Spacetime singularities and curvature blow-ups ⋮ Generalised hyperbolicity in spacetimes with Lipschitz regularity ⋮ Regularity of curve integrable spacetimes ⋮ Geodesics near a curvature singularity of stationary and axially symmetric space–times ⋮ Wave Equations and Symmetric First-order Systems in Case of Low Regularity ⋮ Loop quantum cosmology ⋮ The wave equation on singular space-times ⋮ Wave-type equations of low regularity ⋮ Coarse graining holographic black holes ⋮ A NOTE ON QUANTIZATION IN THE PRESENCE OF GRAVITATIONAL SHOCK WAVES

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