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Annals of PDE. 2022;8(1):9. doi: 10.1007/s40818-022-00125-6 Q12.42024

Decay of the Weyl curvature in expanding black hole cosmologies

膨胀黑洞宇宙学中的Weyl曲率的衰减 翻译改进

Volker Schlue  1

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作者单位

  • 1 School of Mathematics & Statistics, The University of Melbourne, Parkville, VIC 3010 Australia.
  • DOI: 10.1007/s40818-022-00125-6 PMID: 35535317

    摘要 Ai翻译

    This paper is motivated by the non-linear stability problem for the expanding region of Kerr de Sitter cosmologies in the context of Einstein's equations with positive cosmological constant. We show that under dynamically realistic assumptions the conformal Weyl curvature of the spacetime decays towards future null infinity. More precisely we establish decay estimates for Weyl fields which are (i) uniform (with respect to a global time function) (ii) optimal (with respect to the rate) and (iii) consistent with a global existence proof (in terms of regularity). The proof relies on a geometric positivity property of compatible currents which is a manifestation of the global redshift effect capturing the expansion of the spacetime.

    Keywords:Weyl curvature; black hole cosmologies

    Copyright © Annals of PDE. 中文内容为AI机器翻译,仅供参考!

    期刊名:Annals of pde

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    ISSN:2524-5317

    e-ISSN:2199-2576

    IF/分区:2.4/Q1

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    Decay of the Weyl curvature in expanding black hole cosmologies