The global existence, uniqueness and 𝒞 1 -regularity of geodesics in nonexpanding impulsive gravitational waves

DOI10.1088/0264-9381/32/2/025003zbMath1307.83005arXiv1409.1782OpenAlexW3104875033MaRDI QIDQ5178119

Clemens Sämann, Roland Steinbauer, Robert Švarc, Jirí Podolský

Publication date: 13 March 2015

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

Full work available at URL: https://arxiv.org/abs/1409.1782

zbMATH Keywords

geodesicslow regularityimpulsive gravitational waves

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Geodesics in global differential geometry (53C22) Equations of motion in general relativity and gravitational theory (83C10) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Gravitational waves (83C35)

Related Items (8)

Sturm-Liouville and Carroll: at the heart of the memory effect ⋮ Global hyperbolicity for spacetimes with continuous metrics ⋮ Penrose junction conditions with \(\Lambda\): geometric insights into low-regularity metrics for impulsive gravitational waves ⋮ Geodesics in nonexpanding impulsive gravitational waves with Λ. II ⋮ Generalised hyperbolicity in spacetimes with Lipschitz regularity ⋮ Comment on ‘Memory effect for impulsive gravitational waves’ ⋮ Lorentzian length spaces ⋮ Velocity Memory Effect for polarized gravitational waves

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