Symmetries of pp-Waves with Distributional Profile
P.C.Aichelburg, H.Balasin
TL;DR
This paper extends the classification of pp-wave spacetimes by allowing distribution-valued profiles and analyzing the associated symmetry groups, providing a broader understanding of their geometric structure.
Contribution
It introduces a generalization of pp-wave classification to include distributional profiles using the analysis of normal-form-preserving diffeomorphisms.
Findings
Classification of pp-waves with distributional profiles
Analysis of the infinite-dimensional symmetry group
Extension of previous classification results
Abstract
We generalize the classification of (non-vacuum) pp-waves \cite{JEK} based on the Killing-algebra of the space-time by admitting distribution-valued profile functions. Our approach is based on the analysis of the (infinite-dimensional) group of ``normal-form-preserving'' diffeomorphisms.
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