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The magnetic part of the Weyl tensor, and the expansion of discrete universes
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 3
2017 (English)In: General Relativity and Gravitation, ISSN 0001-7701, E-ISSN 1572-9532, Vol. 49, no 2, 30Article in journal (Refereed) Published
Abstract [en]

We examine the effect that the magnetic part of the Weyl tensor has on the large-scale expansion of space. This is done within the context of a class of cosmological models that contain regularly arranged discrete masses, rather than a continuous perfect fluid. The natural set of geodesic curves that one should use to consider the cosmological expansion of these models requires the existence of a non-zero magnetic part of the Weyl tensor. We include this object in the evolution equations of these models by performing a Taylor series expansion about a hypersurface where it initially vanishes. At the same cosmological time, measured as a fraction of the age of the universe, we find that the influence of the magnetic part of the Weyl tensor increases as the number of masses in the universe is increased. We also find that the influence of the magnetic part of the Weyl tensor increases with time, relative to the leading-order electric part, so that its contribution to the scale of the universe can reach values of similar to 1%, before the Taylor series approximation starts to break down.

Place, publisher, year, edition, pages
2017. Vol. 49, no 2, 30
Keyword [en]
Black holes, Cosmology, Silent universes
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-141371DOI: 10.1007/s10714-017-2192-0ISI: 000393650700018OAI: oai:DiVA.org:su-141371DiVA: diva2:1091989
Available from: 2017-04-28 Created: 2017-04-28 Last updated: 2017-04-28Bibliographically approved

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