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Regularized big bang singularity: Geodesic congruences

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arxiv 2109.04229 v2 pith:NYRLX6CA submitted 2021-09-09 gr-qc

Z.L. Wang This is my paper · ORCID
classification gr-qc
keywords congruencesgeodesicsingularitybangparticularallowingbrieflycalculate
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We investigate a particular regularization of big bang singularity, which remains within the domain of 4-dimensional general relativity but allowing for degenerate metrics. We study the geodesics and geodesic congruences in the modified Friedmann-Lema\^itre-Robertson-Walker universe. In particular, we calculate the expansion of timelike and null geodesic congruences. Based on these results, we also briefly discuss the cosmological singularity theorems.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Brane Symmetries Revisited: Symmetries of Tensile and Tensionless Branes in Possibly Degenerate Metrics and their Manifestations

    hep-th 2025-12 conditional novelty 5.0 of 10

    Tensionless p-branes and branes in degenerate-metric spacetimes admit symmetry transformations built from Killing tensors of arbitrary rank, extending string W-symmetries to all brane dimensions.

  2. Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm

    gr-qc 2025-02 reject novelty 5.0 of 10

    A covariant Moore-Penrose algorithm for complex degenerate metrics is formulated, but its uniqueness and torsion interpretation depend on an arbitrary auxiliary metric and the central proof is incomplete.

  3. Big Bang as spacetime defect

    gr-qc 2024-12 conditional novelty 2.0 of 10

    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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