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1994 (1)
1993 (1)
1Author    S. J. ProkhovnikRequires cookie*
 Title    The General Solutions of the Robertson-Walker Null-geodesic and their Implications  
 Abstract    The Robertson-Walker metric gives mathematical expression to three widely-held assumptions about the nature of the observable universe. It is shown that the null-geodesic of this metric has little-known solutions for the speed and distance of a light-signal relative to its source. Some implications of these results are considered, the most interesting of these being that only in a universe whose 3-space is Euclidean (k = 0) will the behaviour of light on the cosmological scale be compatible with .our understanding of light behaviour on the local scale. It is shown in an Appendix that the derived implications of the metric are entirely consistent with Special Relativity, its underlying principles and its consequences. 
  Reference    Z. Naturforsch. 48a, 915—924 (1993); received December 3 1992 
  Published    1993 
  Keywords    Cosmology, Special Relativity, Light propagation 
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 TEI-XML for    default:Reihe_A/48/ZNA-1993-48a-0915.pdf 
 Identifier    ZNA-1993-48a-0915 
 Volume    48 
2Author    S. J. Prokhovnik, A. E. PaparodopoulosRequires cookie*
 Title    Light Propagation in a Curved-Space Friedmann Universe  
 Abstract    It was shown [1] that, in a Friedmann universe considered as an expanding ensemble of fundamen­ tal particles and whose 3-space is Euclidean, the propagation of light and its associated wavelength(s) partake in the expansion of the universe. In consequence, a light-signal emitted from any source will reach and pass every fundamental particle in its path at the same speed, c, despite the systematic mutual recession of any pair of such particles. This result, derived from the Robertson-Walker metric, is in full accord with all local physical experience of light transmission and with the requirements o f Einstein's Special Theory of Relativity. It is shown here that the same result also applies to any curved-space Friedmann universe. 
  Reference    Z. Naturforsch. 49a, 543 (1994); received February 7 1994 
  Published    1994 
  Keywords    C osm ology, Light propagation, Special Relativity 
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 TEI-XML for    default:Reihe_A/49/ZNA-1994-49a-0543.pdf 
 Identifier    ZNA-1994-49a-0543 
 Volume    49