Hubble time dilation

The Hubble time dilation is a hypothetical effect of accumulation of time dilation (in curved space) with distance from observer so for small distances it looks roughly propotional to the distance. The exact effect is $d\tau /dt=exp(-r/R_{s})$, where $\tau$ is proper time at point in deep space, $t$ is coordinate time of the point, $r$ is distance to this point from observer, and $R_{s}$ is radius of curvature of space (called by cosmologists Einstein's radius of universe or $R_{E}$).

The above equation implies that the Hubble constant of our universe equals $H_{o}=c/R_{s}$, where $c$ is speed of light in vacuum and $R_{s}$ is radius of curvature of space (for our universe, about 13 billion light years). When this Hubble constant, being in reality an exponential function is split into Taylor series around $t=0$ it simmulates an accelerating expansion of space as observed in 1998 and then took for the action of "dark energy" since news about Einsteinian gravitation were not published at least since February 1985 when the fact that our universe is stationary has been discovered through (never done before) simple, Newtonian calculation of redshift in stationary universe of density, approximately, of ours $(6\times 10^{-27}kg/m^{3})$ as explained in gravitation demystified and Einsteinian gravitation articles.