Matches in SemOpenAlex for { <https://semopenalex.org/work/W1569579257> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W1569579257 abstract "This paper clarifies some aspects of Lorentzian topology change, and it extends to a wider class of spacetimes previous results of Geroch and Tipler that show that topology change is only to be had at a price. The scenarios studied here are ones in which an initial spacelike surface is joined by a connected ``interpolating spacetime'' to a final spacelike surface, possibly of different topology. The interpolating spacetime is required to obey a condition called causal compactness, a condition satisfied in a very wide range of situations. No assumption is made about the dimension of spacetime. First, it is stressed that topology change is kinematically possible; i.e., if a field equation is not imposed, it is possible to construct topology-changing spacetimes with non-singular Lorentz metrics. Simple 2-dimensional examples of this are shown. Next, it is shown that there are problems in such spacetimes: Geroch's closed-universe argument is applied to causally compact spacetimes to show that even in this wider class of spacetimes there are causality violations associated with topology change. It follows from this result that there will be causality violations if the initial (or the final) surface is not connected, even when there is no topology change. Further, it is shown that in dimensions $geq 3$ causally compact topology-changing spacetimes cannot satisfy Einstein's equation (with a reasonable source); i.e., there are severe dynamical obstructions to topology change. This result extends a previous one due to Tipler. Like Tipler's result, it makes no assumptions about geodesic completeness; i.e., it does not permit topology change even at the price of singularities (of the standard incomplete-geodesic variety). Brief discussions are also given of ways in which the results of this paper might be circumvented." @default.
- W1569579257 created "2016-06-24" @default.
- W1569579257 creator A5002322832 @default.
- W1569579257 date "1994-06-30" @default.
- W1569579257 modified "2023-09-27" @default.
- W1569579257 title "Topology change in classical general relativity" @default.
- W1569579257 cites W1573809402 @default.
- W1569579257 cites W2041064634 @default.
- W1569579257 cites W2067265108 @default.
- W1569579257 cites W2317754742 @default.
- W1569579257 hasPublicationYear "1994" @default.
- W1569579257 type Work @default.
- W1569579257 sameAs 1569579257 @default.
- W1569579257 citedByCount "10" @default.
- W1569579257 countsByYear W15695792572013 @default.
- W1569579257 countsByYear W15695792572014 @default.
- W1569579257 countsByYear W15695792572021 @default.
- W1569579257 crossrefType "posted-content" @default.
- W1569579257 hasAuthorship W1569579257A5002322832 @default.
- W1569579257 hasConcept C108568745 @default.
- W1569579257 hasConcept C114614502 @default.
- W1569579257 hasConcept C120484201 @default.
- W1569579257 hasConcept C121332964 @default.
- W1569579257 hasConcept C130187892 @default.
- W1569579257 hasConcept C134306372 @default.
- W1569579257 hasConcept C147452769 @default.
- W1569579257 hasConcept C165818556 @default.
- W1569579257 hasConcept C184720557 @default.
- W1569579257 hasConcept C202444582 @default.
- W1569579257 hasConcept C2524010 @default.
- W1569579257 hasConcept C2776799497 @default.
- W1569579257 hasConcept C33332235 @default.
- W1569579257 hasConcept C33676613 @default.
- W1569579257 hasConcept C33923547 @default.
- W1569579257 hasConcept C40811676 @default.
- W1569579257 hasConcept C62520636 @default.
- W1569579257 hasConcept C64357122 @default.
- W1569579257 hasConcept C84114770 @default.
- W1569579257 hasConceptScore W1569579257C108568745 @default.
- W1569579257 hasConceptScore W1569579257C114614502 @default.
- W1569579257 hasConceptScore W1569579257C120484201 @default.
- W1569579257 hasConceptScore W1569579257C121332964 @default.
- W1569579257 hasConceptScore W1569579257C130187892 @default.
- W1569579257 hasConceptScore W1569579257C134306372 @default.
- W1569579257 hasConceptScore W1569579257C147452769 @default.
- W1569579257 hasConceptScore W1569579257C165818556 @default.
- W1569579257 hasConceptScore W1569579257C184720557 @default.
- W1569579257 hasConceptScore W1569579257C202444582 @default.
- W1569579257 hasConceptScore W1569579257C2524010 @default.
- W1569579257 hasConceptScore W1569579257C2776799497 @default.
- W1569579257 hasConceptScore W1569579257C33332235 @default.
- W1569579257 hasConceptScore W1569579257C33676613 @default.
- W1569579257 hasConceptScore W1569579257C33923547 @default.
- W1569579257 hasConceptScore W1569579257C40811676 @default.
- W1569579257 hasConceptScore W1569579257C62520636 @default.
- W1569579257 hasConceptScore W1569579257C64357122 @default.
- W1569579257 hasConceptScore W1569579257C84114770 @default.
- W1569579257 hasLocation W15695792571 @default.
- W1569579257 hasOpenAccess W1569579257 @default.
- W1569579257 hasPrimaryLocation W15695792571 @default.
- W1569579257 hasRelatedWork W1662022794 @default.
- W1569579257 hasRelatedWork W1966834232 @default.
- W1569579257 hasRelatedWork W2009239249 @default.
- W1569579257 hasRelatedWork W2018600637 @default.
- W1569579257 hasRelatedWork W2029403139 @default.
- W1569579257 hasRelatedWork W2032573087 @default.
- W1569579257 hasRelatedWork W2038962717 @default.
- W1569579257 hasRelatedWork W2053579983 @default.
- W1569579257 hasRelatedWork W2054949472 @default.
- W1569579257 hasRelatedWork W2057395059 @default.
- W1569579257 hasRelatedWork W2082240172 @default.
- W1569579257 hasRelatedWork W2100844442 @default.
- W1569579257 hasRelatedWork W2119193621 @default.
- W1569579257 hasRelatedWork W2605838295 @default.
- W1569579257 hasRelatedWork W2797747155 @default.
- W1569579257 hasRelatedWork W2898815457 @default.
- W1569579257 hasRelatedWork W3039012497 @default.
- W1569579257 hasRelatedWork W3100015866 @default.
- W1569579257 hasRelatedWork W3102836082 @default.
- W1569579257 hasRelatedWork W3134919017 @default.
- W1569579257 isParatext "false" @default.
- W1569579257 isRetracted "false" @default.
- W1569579257 magId "1569579257" @default.
- W1569579257 workType "article" @default.