Topology change without any pathology
type: Item
instance of: scholarly article
title: Topology change without any pathology
zbMATH Open document ID: 0827.53062
DOI: 10.1007/BF02105077
author: S. V. Krasnikov
published in: General Relativity and Gravitation
publication date: 1995-12-13T00:00:00Z
review text: The author constructs examples of spherically symmetric spacetimes without causality violation or singularities but with topology change. This is not in contradiction to theorems by \textit{R. P. Geroch} [J. Math. Phys. 8, 782-786 (1967; Zbl 0158.465)] and \textit{F. J. Tipler} [Ann. Phys. 108, 1-36 (1977; Zbl 0369.53057)] since in Krasnikov's construction the topology change takes place at infinity. He or she considers spacetimes with the metric \(g = -f^{-2} (\alpha, \beta) d \alpha d\beta + R^2 (\sin^2 (\vartheta) d \varphi^2 + d\vartheta^2)\) (\(R\) seems really to be constant). Generically, those points corresponding to \(f = 0\) are at infinity and by choosing \(f\) adequately, it is possible to enforce topology change at some of these points.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83C20
Mathematics Subject Classification ID: 83C75
zbMATH DE Number: 772865
zbMATH Keywords: spherically symmetric spacetimes
zbMATH Keywords: causality violation
zbMATH Keywords: singularities
zbMATH Keywords: topology change
reviewed by: Marcus Kriele
MaRDI profile type: Publication
cites work: Topology in General Relativity
cites work: Singularities and causality violation
cites work: Lorentz cobordism. II
full work available at URL: https://doi.org/10.1007/bf02105077
OpenAlex ID: W2038257260
Recommended article: Topology change and context dependence
Recommended article: Anomaly and topology change
Recommended article: Kinks and topology change
Recommended article: Topological surgery in nature
Recommended article: Q5837200
Recommended article: Topological changes in lower dimensions
Recommended article: Sharper changes in topologies
Recommended article: Building blocks for topology change
Recommended article: Path coupling without contraction
Recommended article: Topology change and the unity of space
description: scientific article; zbMATH DE number 772865