Abstract
General relativity is widely accepted to have superseded Newton’s laws as a model of gravitational interaction. Assuming gravity to be the major factor that decides the geometrical arrangement of heavenly bodies, general relativity is clearly the best algorithm for cosmology. The theory of special relativity, which requires a four-dimensional space-time, is contained within the general theory, which in turn dictates non-Euclidean geometry of space-time. The minimum constraint on the topology, assumed for any cosmological model, is to be consistent with these principles of special and general relativity.
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Notes
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In view of modern observations Gödel’s concerns appear less serious. Galaxies are now known to wander and even collide. There is hardly any reason why not to explore the alternative possibility.
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Boeyens, J.C.A. (2010). Relativistic Cosmology. In: Chemical Cosmology. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3828-9_7
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