TITLE:
Cosmic Time Transformations in Cosmological Relativity
AUTHORS:
Firmin J. Oliveira
KEYWORDS:
Flat Space, Cosmic Time, Time Dilation, Dark Matter
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.2 No.2,
April
19,
2016
ABSTRACT: The relativity of cosmic time is developed within the framework of Cosmological Relativity in five dimensions of space, time and velocity. A general linearized metric element is defined to have the form , where the coordinates are time , radial distance for spatials x, y and z, and velocity v, with c the speed of light in vacuum and t the Hubble-Carmeli time constant. The metric is accurate to first order in and v/c. The fields and are general functions of the coordinates. By showing that =, a metric of the form is obtained from the general metric, implying that the universe is flat. For cosmological redshift z, the luminosity distance relation is used to fit combined distance moduli from Type 1a supernovae up to z is obtained for the matter density parameter at the present epoch. Assuming a baryon density of , a rest mass energy of (9.79+ 0.47) GeVis predicted for the anti-baryonic and the particles which decay from a hypothetical particle. The cosmic aging function makes good fits to light curve data from two reports of Type 1a supernovae and in fitting to simulated quasar like light curve power spectra separated by redshift . We determine the multipole of the first acoustic peak of the Cosmic Microwave Background radiation anisotropy to be and a sound horizon of on today’s sky.