Cosmological Theories of Special and General Relativity - II

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Astronomers measure distances to faraway galaxies and their velocities. They do that in order to determine the expansion rate of the Universe. In Part I of these lectures the foundations of the theory of the expansion of the Universe was given. In this part we present the theory. A formula for the distance of the galaxy in terms of its velocity is given. It is very simple: $r(v)=cτ/β\sinhβv/c$, where $τ$ is the Big Bang time, $β=\sqrt{1-Ω_m}$, and $Ω_m$ is the mass density of the Universe. For $Ω_m<1$ this formula clearly indicates that the Universe is expanding with acceleration, as experiments clearly show.
Invited talk given at the International Conference "Frontiers of Fundamental Physics 6", held in Udine, Italy, September 26 - 29, 2004. To be published in the Proceedings of the Conference

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