Wormhole and C-field

It is well known that a C-field, generated by a certain source equation leads to interesting changes in the cosmological solutions of Einstein's equations. In this article we present and analyze a simple Lorentzian vacuum wormhole in the presence of C-field. The wormhole is very interesting subject in modern cosmology since Morris and Throne have verified the realistic possibilities of constructing a traversable wormhole space-time and traveling through it in the theoretical context of the general relativity [1]. Among the reasons that support this, one of them is the possibility of constructing time machines and another is related on the requirement of matter violating the weak energy condition [2]. Wormholes may defined as handles or bridges linking different universes or widely separated regions of our universe. Topologically, wormhole space-times are the same as that of blackholes, but a minimal surface called throat of wormhole is maintained in time evolution and then a traveler can pass through it in both directions. To hold such a wormhole open, the stress energy tensor of matter violets the null energy conditions. As a result, the energy density of matter may be seen as negative by some observer. There are different ways of evading these violations. Most of these attempts focus on alternative gravity theories or existing of exotic matter [3]. We consider the wormhole in presence of C-field. Existence of Big-bang singularity is one of the basic failures of general theory of relativity. So alternative theories are being proposed time to time. One of the important alternative theory is C-field theory introduced by Hoyle and Narlikar (HN)[4]. HN adopted a field theoretic approach introducing a mass-less and charge-less scalar field C in the Einstein-Hilbert action to account for the matter creation. A C-field generated by a certain source equation, leads to interesting