Abstract
A static cosmological model of the universe based onLyra's modified Riemannian Geometry is proposed. The red-shift of spectral lines from extra-galactic nebulae is shown to be a consequence of an inherent geometrical property of the model independent of expansion. The model is similar to the staticEinstein model but shows a red-shift and has a finite density even without the introduction of a cosmological constant.
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The work was started while the author was at the University of Göttingen. The author is indebted to Prof.Lyra of Göttingen University for the suggestion of the problem and his constant encouragement during the tenure of the work. He is also grateful to Prof.McCrea for many valuable criticisms and to Dr.Scheibe for many stimulating discussions.
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Sen, D.K. A static cosmological model. Z. Physik 149, 311–323 (1957). https://doi.org/10.1007/BF01333146
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DOI: https://doi.org/10.1007/BF01333146