Kasner Universe in Creation-Field Cosmology (Report‪)‬

1. Introduction The three important observations in astronomy viz., the phenomenon of expanding universe, primordial nucleonsynthesis and the observed isotropy of cosmic microwave background radiation (CMBR) were supposed to be successfully explained by big-bang cosmology which is based on Einstein's field equations. However, Smoot et al. [4] revealed that the earlier predictions of the Friedman-Robertson-Walker types of models do not always exactly meet our expectations. Some puzzling results regarding the red shifts from the extra galactic objects continue to contradict the theoretical explanations given from the big bang type of the models. Also, CMBR discovery did not prove it to be an out come of big bang theory. Infact, Narlikar et al. [5] proved the possibility of non-relic interpretation of CMBR. To explain such phenomenon, many alternative theories have been proposed from time to time. Hoyle [6], Bondi and Gold [7] proposed steady state theory in which the universe does not have singular beginning nor an end on the cosmic time scale. Moreover, they have shown that the statistical properties of the large scale features of the universe do not change. Further, the constancy of the mass density has been accounted by continuous creation of matter going on in contrast to the one time infinite and explosive creation of matter at t = 0 as in the earlier standard models. But, the principle of conservation of matter was violated in this formalism. To overcome this difficulty, Hoyle and Narlikar [8] adopted a field theoretic approach by introducing a massless and chargeless scalar field C in the Einstein-Hilbert action to account for the matter creation. In the C-field theory introduced by Hoyle and Narlikar there is no big bag type of singularity as in the steady state theory of Bondi and Gold [7].