Generalised hyperbolicity in spacetimes with Lipschitz regularity

DOI10.1063/1.4975216zbMath1360.83011arXiv1507.06463OpenAlexW3099645883MaRDI QIDQ2968434

Yafet Sanchez Sanchez, James A. Vickers

Publication date: 13 March 2017

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

Full work available at URL: https://arxiv.org/abs/1507.06463

zbMATH Keywords

spacetimewave equationLipschitz regularitythin shellsurface layerswell-posedgeneralised hyperbolicitygravitational singularitiesshell-crossing singularitiestest fields

Mathematics Subject Classification ID

Variational inequalities (49J40) Wave equation (35L05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Equations of motion in general relativity and gravitational theory (83C10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Hyperbolic equations on manifolds (58J45)

Related Items

Spacetime singularities and curvature blow-ups ⋮ Green operators in low regularity spacetimes and quantum field theory ⋮ Coarse graining holographic black holes

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