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Smooth metrics can hide thin shells

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abstract

In this note, I consider a class of metric tensors with smooth components that naively appear to describe dynamical wormholes with vanishing spacetime curvature. I point out that the smoothness of the metric tensor components is deceptive, and that in general relativity, such metrics must be sourced by exotic thin shells.

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gr-qc 1

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2024 1

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CONDITIONAL 1

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Big Bang as spacetime defect

gr-qc · 2024-12-04 · conditional · novelty 2.0

The Big Bang singularity is replaced by a degenerate-metric spacelike defect, yielding a smooth bounce with finite curvature and a second world on the other side.

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  • Big Bang as spacetime defect gr-qc · 2024-12-04 · conditional · none · ref 66 · internal anchor

    The Big Bang singularity is replaced by a degenerate-metric spacelike defect, yielding a smooth bounce with finite curvature and a second world on the other side.