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 |
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Pages (from-to) | 1021-1024 |
Number of pages | 4 |
Journal | Physical Review D |
Volume | 34 |
Issue number | 4 |
DOIs | |
Publication status | Published - Jan 1 1986 |
Externally published | Yes |
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)