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Exact Parallel Waves in General Relativity

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arxiv 2207.03591 v2 pith:VXVG6ER7 submitted 2022-07-07 gr-qc math.DG

Cian Roche , Amir Babak Aazami , Carla Cederbaum This is my paper · ORCID
classification gr-qcmath.DG
keywords definitionsparallelparticularresultsspacetimesaccessibleaddressingbasic
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We conduct a review of the basic definitions and the principal results in the study of wavelike spacetimes, that is spacetimes whose metric models massless radiation moving at the speed of light, focusing in particular on those geometries with parallel rays. In particular, we motivate and connect their various definitions, outline their coordinate descriptions and present some classical results in their study in a language more accessible to modern readers, including the existence of "null coordinates" and the construction of Penrose limits. We also present a thorough summary of recent work on causality in pp-waves, and describe progress in addressing an open question in the field - the Ehlers-Kundt conjecture.

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  1. Cosmic Jets in General Relativity

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Free particles and scalar waves in Kasner and plane-wave spacetimes asymptotically align into jets that move at nearly the speed of light relative to fiducial observers.

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