Five Dimensional Spherical Symmetric Universe in Creation Field Cosmology

Abstract

The phenomenon of expanding universe, primordial nucleon-synthesis and the observed isotropy of cosmic microwave background radiation (CMBR) are the three very important observations in astronomy. These were successfully explained by big-bang cosmology based on Einstein’s field equations. Smoot et al. [2] revealed that the earlier prediction of the FriedmanRobertson-Walker type of models do not always exactly match with our expectations. Some puzzling results regarding the red shifts from the extra galactic objects continue to contradict the theoretical explanations given by the big-bang type model. Also, CMBR discovery did not prove it to be outcome of a big-bang theory. In fact, Narlikar et al. [3] have proved the possibility of non-relic interpretation of CMBR. To explain such phenomenon, many alternative theories have been proposed from time to time. Hoyle [4], Bondi and Gold [5] proposed steady state theory in which the universe does neither have singular beginning nor an end on the cosmic time scale. To overcome this difficulty Hoyle and Narlikar [6] adopted a field theoretic approach by introducing a mass-less and charge-less scalar field C in the Einstein-Hilbert action to account for the matter creation. In the Cfield theory introduced by Hoyle and Narlikar, there is no big-bang type of singularity as in the steady state theory of Bondi and Gold [5]. A solution of Einstein’s field equations admitting radiation with negative energy mass less scalar creation field C was obtained by Narlikar and Padmanabhan [1]. The study of Hoyle and Narlikar theory [6-8] of space-times with higher dimensions ____________________ mitasharma08@gmail.com was carried out by Chaterjee and Banarjee [9]. RajBali and Tikekar [10] studied C field Cosmology with variable G in the flat FriedmanRobertson-Walker model and with non flat FRW space time by Raj Bali and Kumawat [11]. The solutions of Einstien’s field equations in the presence of creation field have been obtained for different Binachi type universes by Singh and Chaubey [12]. In the present work, we have studied the Hoyle and Narlikar C-field cosmology in spherical symmetric space time. We have assumed that , = , that is, the creation field C is a function of time‘t’ only.