Cosmic hoop conjecture?

Takeshi Chiba*, Kei Ichi Maeda

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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
Issue number8
Publication statusPublished - 1994

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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