Classification of the static vacuum metric with Ricci-flat compactification

M. Yoshimura

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


We explicitly construct all spherically symmetric vacuum solutions of the higher-dimensional Einstein equation in which the size of Ricci-flat compact internal manifolds varies with three-dimensional distance, subject to an asymptotic condition, flat M4 times a compact manifold. Besides the usual Schwarzschild and the trivial vacuum solutions, a variety of new solutions are found, all of which contain a curvature singularity not hidden by an event horizon (naked singularity) unless the extra compact space admits an isometry.

Original languageEnglish
Pages (from-to)1021-1024
Number of pages4
JournalPhysical Review D
Issue number4
Publication statusPublished - Jan 1 1986
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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