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

31 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)

Access to Document

10.1103/PhysRevD.34.1021

Fingerprint Dive into the research topics of 'Classification of the static vacuum metric with Ricci-flat compactification'. Together they form a unique fingerprint.

Cite this

@article{f4c82aaa84fe400fb4c21deb8196e867,

title = "Classification of the static vacuum metric with Ricci-flat compactification",

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.",

author = "M. Yoshimura",

year = "1986",

month = jan,

day = "1",

doi = "10.1103/PhysRevD.34.1021",

language = "English",

volume = "34",

pages = "1021--1024",

journal = "Physical Review D",

issn = "0556-2821",

number = "4",

}

TY - JOUR

T1 - Classification of the static vacuum metric with Ricci-flat compactification

AU - Yoshimura, M.

PY - 1986/1/1

Y1 - 1986/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=4244178464&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4244178464&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.34.1021

DO - 10.1103/PhysRevD.34.1021

M3 - Article

AN - SCOPUS:4244178464

VL - 34

SP - 1021

EP - 1024

JO - Physical Review D

JF - Physical Review D

SN - 0556-2821

IS - 4

ER -