Cosmic hoop conjecture?

Takeshi Chiba, Keiichi Maeda

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    9 Citations (Scopus)

    Abstract

    We propose a hoop conjecture in the presence of a positive cosmological constant Λ: when an apparent horizon forms in a gravitational collapse, the matter must be sufficiently compactified such that the circumference scrC satisfies the condition scrC4πM4πMcrit, where M is the Abbott-Deser mass of the collapsed body and Mcrit=1/3 Λ. To confirm our conjecture, we investigate two cases: (1) initial data of a prolate or oblate dust spheroid, and (2) the Kastor-Traschen spacetime which describes a black hole collision with Λ. We also discuss a relation between the hoop conjecture and an appearance of a naked singularity.

    Original languageEnglish
    Pages (from-to)4903-4913
    Number of pages11
    JournalPhysical Review D
    Volume50
    Issue number8
    DOIs
    Publication statusPublished - 1994

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    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

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