Shock wave interactions and the Riemann-flat condition: the geometry behind metric smoothing and the existence of locally inertial frames in general relativity

DOI10.1007/S00205-019-01456-8zbMath1434.53081arXiv1610.02390OpenAlexW3101614104WikidataQ127072800 ScholiaQ127072800MaRDI QIDQ2297686

Moritz Reintjes, J. Blake Temple

Publication date: 20 February 2020

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02390

zbMATH Keywords

essential smoothnessregularity singularitiesgravitational metricRiemann-flat conditionshock wave metrics

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Einstein equations (35Q76)

Related Items (3)

On weak solutions to the geodesic equation in the presence of curvature bounds ⋮ Mini-workshop: Relativistic fluids at the intersection of mathematics and physics. Abstracts from the mini-workshop held December 13--19, 2020 (online meeting) ⋮ 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

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