Matches in SemOpenAlex for { <https://semopenalex.org/work/W2153336013> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2153336013 endingPage "268" @default.
- W2153336013 startingPage "244" @default.
- W2153336013 abstract "A method for constructing globally defined, spherically symmetric space-time manifolds in general relativity is developed by making the ordinary polar coordinate system applicable in the large. This is achieved by considering space-time M as a kind of sphere bundle over a Lorentz-2-manifold M̃ (in general with boundary), the radius r of the spheres being regarded as a function on M̃ . The singularity of the polar coordinate system at r = 0 which occurs on the world line of a centre in M and on the boundary of M̃ is carefully studied, and it turns out that regularity of the metric near this world line implies that the latter is necessarily timelike. As an application of this method some simple examples of globally defined, complete and singularity-free space-time manifolds are constructed representing an exterior Schwarzschild field and a massive central body without point centre. It is shown that such models do exist with everywhere non-negative mass density, but that this change of the topology (at least for these simple models) requires very high tensions, namely: tension ≥ density ≥ 0. In particular, the latter condition together with the change from Euclidean topology seems to be a necessary requirement for the construction of singularity-free space-times containing ‘collapsing’ regions." @default.
- W2153336013 created "2016-06-24" @default.
- W2153336013 date "1967-02-28" @default.
- W2153336013 modified "2023-09-26" @default.
- W2153336013 title "Construction of singularity-free spherically symmetric space-time manifolds" @default.
- W2153336013 cites W1964609051 @default.
- W2153336013 cites W1982722342 @default.
- W2153336013 cites W1990175132 @default.
- W2153336013 cites W2041378594 @default.
- W2153336013 cites W2052045615 @default.
- W2153336013 cites W2060745302 @default.
- W2153336013 cites W2109243620 @default.
- W2153336013 cites W2242001508 @default.
- W2153336013 cites W2525125412 @default.
- W2153336013 cites W2567300630 @default.
- W2153336013 doi "https://doi.org/10.1098/rspa.1967.0064" @default.
- W2153336013 hasPublicationYear "1967" @default.
- W2153336013 type Work @default.
- W2153336013 sameAs 2153336013 @default.
- W2153336013 citedByCount "10" @default.
- W2153336013 countsByYear W21533360132016 @default.
- W2153336013 crossrefType "journal-article" @default.
- W2153336013 hasConcept C114614502 @default.
- W2153336013 hasConcept C115304011 @default.
- W2153336013 hasConcept C121332964 @default.
- W2153336013 hasConcept C124017977 @default.
- W2153336013 hasConcept C127413603 @default.
- W2153336013 hasConcept C134200972 @default.
- W2153336013 hasConcept C134306372 @default.
- W2153336013 hasConcept C147452769 @default.
- W2153336013 hasConcept C16171025 @default.
- W2153336013 hasConcept C184720557 @default.
- W2153336013 hasConcept C186450821 @default.
- W2153336013 hasConcept C33923547 @default.
- W2153336013 hasConcept C529865628 @default.
- W2153336013 hasConcept C5667645 @default.
- W2153336013 hasConcept C62354387 @default.
- W2153336013 hasConcept C74650414 @default.
- W2153336013 hasConcept C78519656 @default.
- W2153336013 hasConcept C8105449 @default.
- W2153336013 hasConceptScore W2153336013C114614502 @default.
- W2153336013 hasConceptScore W2153336013C115304011 @default.
- W2153336013 hasConceptScore W2153336013C121332964 @default.
- W2153336013 hasConceptScore W2153336013C124017977 @default.
- W2153336013 hasConceptScore W2153336013C127413603 @default.
- W2153336013 hasConceptScore W2153336013C134200972 @default.
- W2153336013 hasConceptScore W2153336013C134306372 @default.
- W2153336013 hasConceptScore W2153336013C147452769 @default.
- W2153336013 hasConceptScore W2153336013C16171025 @default.
- W2153336013 hasConceptScore W2153336013C184720557 @default.
- W2153336013 hasConceptScore W2153336013C186450821 @default.
- W2153336013 hasConceptScore W2153336013C33923547 @default.
- W2153336013 hasConceptScore W2153336013C529865628 @default.
- W2153336013 hasConceptScore W2153336013C5667645 @default.
- W2153336013 hasConceptScore W2153336013C62354387 @default.
- W2153336013 hasConceptScore W2153336013C74650414 @default.
- W2153336013 hasConceptScore W2153336013C78519656 @default.
- W2153336013 hasConceptScore W2153336013C8105449 @default.
- W2153336013 hasIssue "1449" @default.
- W2153336013 hasLocation W21533360131 @default.
- W2153336013 hasOpenAccess W2153336013 @default.
- W2153336013 hasPrimaryLocation W21533360131 @default.
- W2153336013 hasRelatedWork W2023837910 @default.
- W2153336013 hasRelatedWork W2075613007 @default.
- W2153336013 hasRelatedWork W2153336013 @default.
- W2153336013 hasRelatedWork W2167568382 @default.
- W2153336013 hasRelatedWork W2198754142 @default.
- W2153336013 hasRelatedWork W2587336380 @default.
- W2153336013 hasRelatedWork W2728255096 @default.
- W2153336013 hasRelatedWork W2894125310 @default.
- W2153336013 hasRelatedWork W2963400152 @default.
- W2153336013 hasRelatedWork W2514634278 @default.
- W2153336013 hasVolume "297" @default.
- W2153336013 isParatext "false" @default.
- W2153336013 isRetracted "false" @default.
- W2153336013 magId "2153336013" @default.
- W2153336013 workType "article" @default.