Geodesic motion in the Kundt spacetimes and the character of envelope singularity

Jiri Podolsky; Miroslav Belan

Geodesic motion in the Kundt spacetimes and the character of envelope singularity

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arxiv gr-qc/0404068 v1 pith:LMPKA6H3 submitted 2004-04-15 gr-qc

Jiri Podolsky , Miroslav Belan This is my paper · ORCID

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keywords singularitycharactercurvatureenvelopekundtspacetimestensoralthough

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We investigate geodesics in specific Kundt type N (or conformally flat) solutions to Einstein's equations. Components of the curvature tensor in parallelly transported tetrads are then explicitly evaluated and analyzed. This elucidates some interesting global properties of the spacetimes, such as an inherent rotation of the wave-propagation direction, or the character of singularities. In particular, we demonstrate that the characteristic envelope singularity of the rotated wave-fronts is a (non-scalar) curvature singularity, although all scalar invariants of the Riemann tensor vanish there.

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Regular Spacetimes in the Effective Metric Description
gr-qc 2025-06 conditional novelty 5.0 of 10

Within the Effective Metric Description, the paper derives regularity conditions at the origin and horizons, a necessary geodesic-completeness condition, and a classification of regular cores.

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