Gravitational Interaction in the Chimney Lattice Universe †

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dc.contributor.authorEingorn, Maxim
dc.contributor.authorMcLaughlin II, Andrew
dc.contributor.authorCanay, Ezgi
dc.contributor.authorBrilenkov, Maksym
dc.contributor.authorZhuk, Oleksandr I.
dc.contributor.authorЖук, Олександр Іванович
dc.contributor.authorЖук, Александр Иванович
dc.date.accessioned2022-06-30T20:32:56Z
dc.date.available2022-06-30T20:32:56Z
dc.date.issued2021
dc.description.abstractWe investigate the influence of the chimney topology T T R of the Universe on the gravitational potential and force that are generated by point-like massive bodies. We obtain three distinct expressions for the solutions. One follows from Fourier expansion of delta functions into series using periodicity in two toroidal dimensions. The second one is the summation of solutions of the Helmholtz equation, for a source mass and its infinitely many images, which are in the form of Yukawa potentials. The third alternative solution for the potential is formulated via the Ewald sums method applied to Yukawa-type potentials. We show that, for the present Universe, the formulas involving plain summation of Yukawa potentials are preferable for computational purposes, as they require a smaller number of terms in the series to reach adequate precision.uk_UA
dc.identifier.citationUniverseuk_UA
dc.identifier.doihttps://doi.org/10.3390/universe7040101
dc.identifier.urihttps://dspace.onu.edu.ua/handle/123456789/33269
dc.language.isoenuk_UA
dc.relation.ispartofseries;Vol. 7, Is. 4.
dc.subjectspatial topologyuk_UA
dc.subjectgravitational potentialuk_UA
dc.subjectYukawa interactionuk_UA
dc.titleGravitational Interaction in the Chimney Lattice Universe †uk_UA
dc.typeArticleuk_UA
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