Matches in SemOpenAlex for { <https://semopenalex.org/work/W2023772470> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2023772470 endingPage "1492" @default.
- W2023772470 startingPage "1467" @default.
- W2023772470 abstract "Nonlinear perturbations of Friedmann–Lemaitre cosmologies with dust and a cosmological constant $$Lambda >0$$ have recently attracted considerable attention. In this paper our first goal is to compare the evolution of the first and second order perturbations by determining their asymptotic behaviour at late times in ever-expanding models. We show that in the presence of spatial curvature K or a cosmological constant, the density perturbation approaches a finite limit both to first and second order, but the rate of approach depends on the model, being power law in the scale factor if $$Lambda >0$$ but logarithmic if $$Lambda =0$$ and $$K<0$$ . Scalar perturbations in general contain a growing and a decaying mode. We find, somewhat surprisingly, that if $$Lambda >0$$ the decaying mode does not die away, i.e. it contributes on an equal footing as the growing mode to the asymptotic expression for the density perturbation. On the other hand, the future asymptotic regime of the Einstein–de Sitter universe ( $$K=Lambda =0$$ ) is completely different, as exemplified by the density perturbation which diverges; moreover, the second order perturbation diverges faster than the first order perturbation, which suggests that the Einstein–de Sitter universe is unstable to perturbations, and that the perturbation series do not converge towards the future. We conclude that the presence of spatial curvature or a cosmological constant stabilizes the perturbations. Our second goal is to derive an explicit expression for the second order density perturbation that can be used to study the effects of including a cosmological constant and spatial curvature." @default.
- W2023772470 created "2016-06-24" @default.
- W2023772470 creator A5032684194 @default.
- W2023772470 creator A5076627595 @default.
- W2023772470 date "2013-07-12" @default.
- W2023772470 modified "2023-10-16" @default.
- W2023772470 title "Asymptotic analysis of perturbed dust cosmologies to second order" @default.
- W2023772470 cites W1983899636 @default.
- W2023772470 cites W2001364245 @default.
- W2023772470 cites W2007082195 @default.
- W2023772470 cites W2010567060 @default.
- W2023772470 cites W2030705808 @default.
- W2023772470 cites W2054410158 @default.
- W2023772470 cites W2064210463 @default.
- W2023772470 cites W2067968419 @default.
- W2023772470 cites W2074338131 @default.
- W2023772470 cites W2130939712 @default.
- W2023772470 cites W3038049795 @default.
- W2023772470 cites W3100210985 @default.
- W2023772470 cites W3103497636 @default.
- W2023772470 cites W3103939243 @default.
- W2023772470 cites W3105536098 @default.
- W2023772470 cites W4212830386 @default.
- W2023772470 cites W4294990294 @default.
- W2023772470 doi "https://doi.org/10.1007/s10714-013-1559-0" @default.
- W2023772470 hasPublicationYear "2013" @default.
- W2023772470 type Work @default.
- W2023772470 sameAs 2023772470 @default.
- W2023772470 citedByCount "5" @default.
- W2023772470 countsByYear W20237724702014 @default.
- W2023772470 countsByYear W20237724702019 @default.
- W2023772470 countsByYear W20237724702020 @default.
- W2023772470 countsByYear W20237724702023 @default.
- W2023772470 crossrefType "journal-article" @default.
- W2023772470 hasAuthorship W2023772470A5032684194 @default.
- W2023772470 hasAuthorship W2023772470A5076627595 @default.
- W2023772470 hasBestOaLocation W20237724702 @default.
- W2023772470 hasConcept C121332964 @default.
- W2023772470 hasConcept C166861157 @default.
- W2023772470 hasConcept C172790937 @default.
- W2023772470 hasConcept C177918212 @default.
- W2023772470 hasConcept C19262093 @default.
- W2023772470 hasConcept C195065555 @default.
- W2023772470 hasConcept C20154449 @default.
- W2023772470 hasConcept C2524010 @default.
- W2023772470 hasConcept C26405456 @default.
- W2023772470 hasConcept C2778113609 @default.
- W2023772470 hasConcept C2780100471 @default.
- W2023772470 hasConcept C33923547 @default.
- W2023772470 hasConcept C37914503 @default.
- W2023772470 hasConcept C44870925 @default.
- W2023772470 hasConcept C62520636 @default.
- W2023772470 hasConcept C74650414 @default.
- W2023772470 hasConcept C84999194 @default.
- W2023772470 hasConceptScore W2023772470C121332964 @default.
- W2023772470 hasConceptScore W2023772470C166861157 @default.
- W2023772470 hasConceptScore W2023772470C172790937 @default.
- W2023772470 hasConceptScore W2023772470C177918212 @default.
- W2023772470 hasConceptScore W2023772470C19262093 @default.
- W2023772470 hasConceptScore W2023772470C195065555 @default.
- W2023772470 hasConceptScore W2023772470C20154449 @default.
- W2023772470 hasConceptScore W2023772470C2524010 @default.
- W2023772470 hasConceptScore W2023772470C26405456 @default.
- W2023772470 hasConceptScore W2023772470C2778113609 @default.
- W2023772470 hasConceptScore W2023772470C2780100471 @default.
- W2023772470 hasConceptScore W2023772470C33923547 @default.
- W2023772470 hasConceptScore W2023772470C37914503 @default.
- W2023772470 hasConceptScore W2023772470C44870925 @default.
- W2023772470 hasConceptScore W2023772470C62520636 @default.
- W2023772470 hasConceptScore W2023772470C74650414 @default.
- W2023772470 hasConceptScore W2023772470C84999194 @default.
- W2023772470 hasIssue "8" @default.
- W2023772470 hasLocation W20237724701 @default.
- W2023772470 hasLocation W20237724702 @default.
- W2023772470 hasLocation W20237724703 @default.
- W2023772470 hasOpenAccess W2023772470 @default.
- W2023772470 hasPrimaryLocation W20237724701 @default.
- W2023772470 hasRelatedWork W1807971224 @default.
- W2023772470 hasRelatedWork W1985047381 @default.
- W2023772470 hasRelatedWork W2802483421 @default.
- W2023772470 hasRelatedWork W2894459085 @default.
- W2023772470 hasRelatedWork W2954782866 @default.
- W2023772470 hasRelatedWork W3100001996 @default.
- W2023772470 hasRelatedWork W3103332506 @default.
- W2023772470 hasRelatedWork W4312107329 @default.
- W2023772470 hasRelatedWork W4316813051 @default.
- W2023772470 hasRelatedWork W4386114245 @default.
- W2023772470 hasVolume "45" @default.
- W2023772470 isParatext "false" @default.
- W2023772470 isRetracted "false" @default.
- W2023772470 magId "2023772470" @default.
- W2023772470 workType "article" @default.