Abstract
The geometry of lattice universes in general is reviewed, and particular attention is given to the 3-geometry of a 5-black hole model universe at the momentarily static phase of maximum expansion as an illustration of the insights to be won by considering symmetries and reflections. Three models for the black holes in this lattice universe are compared and contrasted. Reasons are given for working with Misner's “flange backup” model. The geometry interior to the individual tetrahedral cell of this lattice is compared and contrasted with the electrostatic field produced by a point charge located in the center of a cavity of the same shape that has perfectly conducting walls.
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Preparation for publication was assisted by the Center for Theoretical Physics and by NSF Grant #PHY 7826592.
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Wheeler, J.A. The geometrostatic lattice cell. Found Phys 13, 161–173 (1983). https://doi.org/10.1007/BF01889418
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DOI: https://doi.org/10.1007/BF01889418