Classification of the static vacuum metric with Ricci-flat compactification

M. Yoshimura

doi:10.1103/PhysRevD.34.1021

Classification of the static vacuum metric with Ricci-flat compactification

M. Yoshimura

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	1021-1024
Number of pages	4
Journal	Physical Review D
Volume	34
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevD.34.1021
Publication status	Published - Jan 1 1986
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.34.1021

Cite this

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Classification of the static vacuum metric with Ricci-flat compactification

Abstract

ASJC Scopus subject areas

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