Optimal metric regularity in general relativity follows from the RT-equations by elliptic regularity theory in \(L^p\)-spaces

DOI10.4310/MAA.2020.V27.N3.A1zbMath1475.83009arXiv1808.06455MaRDI QIDQ1983162

Moritz Reintjes, J. Blake Temple

Publication date: 15 September 2021

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06455

zbMATH Keywords

shock wavesgeneral relativitygeometric analysisLorentzian geometryregularity singularitieselliptic PDE'soptimal metric regularity

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75)

Related Items (3)

On weak solutions to the geodesic equation in the presence of curvature bounds ⋮ How to smooth a crinkled map of space–time: Uhlenbeck compactness for L ^∞ connections and optimal regularity for general relativistic shock waves by the Reintjes–Temple equations ⋮ Shock wave interactions and the Riemann-flat condition: the geometry behind metric smoothing and the existence of locally inertial frames in general relativity

This page was built for publication: Optimal metric regularity in general relativity follows from the RT-equations by elliptic regularity theory in \(L^p\)-spaces