Higher dimensional bianchi type-V universe in creation-field cosmology

Kishor S Adhav,Prachi S Gadodia,Abhijit S Bansod,Shivdas D Katore

doi:10.4236/ns.2010.25060

Abstract

We have studied the Hoyle-Narlikar C-field cosmology with Bianchi type-V non static space- time in higher dimensions. Using methods of Narlikar and Padmanabham [1], the solutions have been studied when the creation field C is a function of time t only as space time is non static. The geometrical and physical aspects for model are also studied.

Highlights

The study of higher dimensional physics is important because of several prominent results obtained in the development of the super-string theory
Since the concept of higher dimensions is not unphysical, the string theories are discussed in 10dimensions and 26-dimensions of space-time
Many researchers are inspired to study the higher dimensional to explore the hidden knowledge of the universe

Summary

INTRODUCTION

The study of higher dimensional physics is important because of several prominent results obtained in the development of the super-string theory. Hoyle [13], Bondi and Gold [14] proposed steady state theory in which the universe does not have singular beginning nor an end on the cosmic time scale. The principle of conservation of matter was violated in this formalism To overcome this difficulty Hoyle and Narlikar [15] 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 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 [14]. The solutions of Einstein’s field equations in the presence of creation field have been obtained for Bianchi type-V universe in four dimensions by Singh and Chaubey [19]. This study is important because of the fact that the resulting cosmological model is considered to be amenable to the model obtained by Singh and Chaubey [19]

HOYLE AND NARLIKAR C-FIELD COSMOLOGY

METRIC AND FIELD EQUATIONS

A V 2 2 1

CONCLUSIONS