Matches in SemOpenAlex for { <https://semopenalex.org/work/W4285661951> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W4285661951 abstract "We study the properties of the Newtonian gravitational potential in a spherical Universe for different topologies. For this, we use the non-Euclidean Newtonian theory developed in Vigneron [2022, Class. & Quantum Gravity, 39, 155006] describing Newtonian gravitation in a spherical or hyperbolic Universe. The potential is calculated for a point mass in all the globally homogeneous regular spherical topologies, i.e. whose fundamental domain is unique and is a platonic solid. We provide the exact solution and the Taylor expansion series of the potential at a test position near the point mass. We show that the odd terms of the expansion can be interpreted as coming from the presence of a non-zero spatial scalar curvature, while the even terms relate to the closed nature of the topological space. A consequence is that, compared to the point mass solution in a 3-torus, widely used in Newtonian cosmological simulations, the spherical cases all feature an additional attractive first order term dependent solely on the spatial curvature. The choice of topology only affects the potential at second order and higher. For typical estimates of cosmological scales (curvature and topology), the strongest topological effect occurs in the case of the Poincar'e dodecahedral space, but in general the effect of curvature dominates over topology. We also provide the set of equations that can be used to perform $N$-body simulations of structure formation in spherical topologies." @default.
- W4285661951 created "2022-07-17" @default.
- W4285661951 creator A5005925044 @default.
- W4285661951 creator A5042288921 @default.
- W4285661951 date "2022-02-10" @default.
- W4285661951 modified "2023-09-27" @default.
- W4285661951 title "Gravitational potential in spherical topologies" @default.
- W4285661951 hasPublicationYear "2022" @default.
- W4285661951 type Work @default.
- W4285661951 citedByCount "0" @default.
- W4285661951 crossrefType "posted-content" @default.
- W4285661951 hasAuthorship W4285661951A5005925044 @default.
- W4285661951 hasAuthorship W4285661951A5042288921 @default.
- W4285661951 hasBestOaLocation W42856619511 @default.
- W4285661951 hasConcept C111919701 @default.
- W4285661951 hasConcept C114614502 @default.
- W4285661951 hasConcept C121332964 @default.
- W4285661951 hasConcept C123222754 @default.
- W4285661951 hasConcept C124017977 @default.
- W4285661951 hasConcept C127090403 @default.
- W4285661951 hasConcept C134306372 @default.
- W4285661951 hasConcept C184720557 @default.
- W4285661951 hasConcept C195065555 @default.
- W4285661951 hasConcept C199845137 @default.
- W4285661951 hasConcept C2524010 @default.
- W4285661951 hasConcept C33332235 @default.
- W4285661951 hasConcept C33923547 @default.
- W4285661951 hasConcept C41008148 @default.
- W4285661951 hasConcept C62520636 @default.
- W4285661951 hasConcept C70920666 @default.
- W4285661951 hasConcept C74650414 @default.
- W4285661951 hasConcept C84999194 @default.
- W4285661951 hasConcept C9767117 @default.
- W4285661951 hasConceptScore W4285661951C111919701 @default.
- W4285661951 hasConceptScore W4285661951C114614502 @default.
- W4285661951 hasConceptScore W4285661951C121332964 @default.
- W4285661951 hasConceptScore W4285661951C123222754 @default.
- W4285661951 hasConceptScore W4285661951C124017977 @default.
- W4285661951 hasConceptScore W4285661951C127090403 @default.
- W4285661951 hasConceptScore W4285661951C134306372 @default.
- W4285661951 hasConceptScore W4285661951C184720557 @default.
- W4285661951 hasConceptScore W4285661951C195065555 @default.
- W4285661951 hasConceptScore W4285661951C199845137 @default.
- W4285661951 hasConceptScore W4285661951C2524010 @default.
- W4285661951 hasConceptScore W4285661951C33332235 @default.
- W4285661951 hasConceptScore W4285661951C33923547 @default.
- W4285661951 hasConceptScore W4285661951C41008148 @default.
- W4285661951 hasConceptScore W4285661951C62520636 @default.
- W4285661951 hasConceptScore W4285661951C70920666 @default.
- W4285661951 hasConceptScore W4285661951C74650414 @default.
- W4285661951 hasConceptScore W4285661951C84999194 @default.
- W4285661951 hasConceptScore W4285661951C9767117 @default.
- W4285661951 hasLocation W42856619511 @default.
- W4285661951 hasOpenAccess W4285661951 @default.
- W4285661951 hasPrimaryLocation W42856619511 @default.
- W4285661951 hasRelatedWork W1569187697 @default.
- W4285661951 hasRelatedWork W1983977709 @default.
- W4285661951 hasRelatedWork W2026845705 @default.
- W4285661951 hasRelatedWork W2156399802 @default.
- W4285661951 hasRelatedWork W2514626972 @default.
- W4285661951 hasRelatedWork W2981285208 @default.
- W4285661951 hasRelatedWork W3087163429 @default.
- W4285661951 hasRelatedWork W3105569411 @default.
- W4285661951 hasRelatedWork W3154930789 @default.
- W4285661951 hasRelatedWork W4312537191 @default.
- W4285661951 isParatext "false" @default.
- W4285661951 isRetracted "false" @default.
- W4285661951 workType "article" @default.