A class of wormhole solutions to higher-dimensional general relativity
type: Item
instance of: scholarly article
title: A class of wormhole solutions to higher-dimensional general relativity
zbMATH Open document ID: 0535.53027
DOI: 10.1007/BF00762442
author: Gérard Clément
published in: General Relativity and Gravitation
publication date: 1984-01-01T00:00:00Z
review text: The action of \((n+p)\) relativity (n spatial, p-1 compactified internal dimensions) for sourcefree solutions, translationally invariant in the p time and internal dimensions with signature \((+-...-)\) reduces to an action of \((n+1)\)-dimensional relativity with a repulsively coupled O(p) field. For \(n=3\), \(p=2\) (scalar) or 4 (chiral field), regular solutions, all of wormhole type, are found. The time-time component \(g_{00}\) changes its sign (metrical kink).
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83E15
zbMATH DE Number: 3850019
zbMATH Keywords: higher dimensional relativity
zbMATH Keywords: sourcefree asymptotically flat solutions
zbMATH Keywords: metrical kink
MaRDI profile type: Publication
cites work: Spherically symmetric solutions in five-dimensional general relativity
cites work: Some new conservation laws
full work available at URL: https://doi.org/10.1007/bf00762442
OpenAlex ID: W1548112721
description: scientific article; zbMATH DE number 3850019