Cut-and-paste for impulsive gravitational waves with $$\Lambda $$: the mathematical analysis
Clemens Sämann,
Benedict Schinnerl,
Roland Steinbauer
et al.
Abstract:Impulsive gravitational waves are theoretical models of short but violent bursts of gravitational radiation. They are commonly described by two distinct spacetime metrics, one of local Lipschitz regularity and the other one even distributional. These two metrics are thought to be ‘physically equivalent’ since they can be formally related by a ‘discontinuous coordinate transformation’. In this paper we provide a mathematical analysis of this issue for the entire class of nonexpanding impulsive gravitational wav… Show more
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