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Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime

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arxiv 2507.18585 v2 pith:76ZXBY2T submitted 2025-07-24 gr-qc math-phmath.APmath.DGmath.MP

Xinliang An , Taoran He , Dawei Shen This is my paper · ORCID
classification gr-qcmath-phmath.APmath.DGmath.MP
keywords systemfieldregimestabilitystrongeinstein-maxwell-scalarfield-vlasovfull
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abstract

In $3+1$ dimensions, we study the stability of Kasner solutions for the Einstein-Maxwell-scalar field-Vlasov system. This system incorporates gravity, electromagnetic, weak and strong interactions for the initial stage of our universe. Due to the presence of the Vlasov field, various new challenges arise. By observing detailed mathematical structures and designing new delicate arguments, we identify a new strong sub-critical regime and prove the nonlinear stability with Kasner exponents lying in this full regime. This extends the result of Fournodavlos-Rodnianski-Speck [8] from the Einstein-scalar field system to the physically more complex system with the Vlasov field.

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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. Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System

    math.AP 2025-10 conditional novelty 8.0 of 10

    Massless Vlasov matter in 3+1 dimensions, with large characteristic data and no symmetry, admits a semi-global smooth solution that forms a trapped surface when the initial null energy flux is large.

  2. Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data

    gr-qc 2026-08 conditional novelty 6.0 of 10

    A trapped-surface formation theorem is established for the spherically symmetric Einstein-Yang-Mills system with nontrivial characteristic incoming data.

  3. Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity

    gr-qc 2025-11 reject novelty 6.0 of 10

    The authors argue that vacuum Einstein evolution can push a boundary-curvature quantity across Yau's threshold, forcing an apparent horizon to form without gravitational collapse.

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