Fluctuation spatial expansion and observational redshifts

Abstract

Classical determinations of galaxy distances and galaxy recessional velocities have been generated from luminosity and emission spectrometric data. The analyses of these galactic spectrometric electromagnetic frequency shifts have resulted in the Hubble law and are understood as a Doppler effect stemming from an expansion of space. In the present work, a galaxy-core expansion model with a time evolving matter and radiation distribution is put forth, leading to a supplementary treatment of the optical redshift measurements. Einstein's gravitational equations are assumed to apply within a galaxy-core spatial domain and, with utilization of a generalized Robertson-Walker-Schwarzschild metric, are used in order to calculate the evolutionary expansion characteristics. The galaxy-core model is described as a flat metric, matter plus radiation, sigma = 1/3, energy distribution. It predicts an early time density fluctuation collapse, understood to be the formation of a galaxy hole, and provides an interpretational basis for the experimental data.