Abstract
The strategy adopted in the original Morris-Thorne wormhole was to retain complete control over the geometry at the expense of certain engineering considerations. The purpose of this paper is to obtain several complete wormhole solutions by assuming a noncommutative-geometry background with a concomitant isotropic pressure condition. This condition allows us to consider a cosmological setting with a perfect-fluid equation of state. An extended form of the equation generalizes the first solution and subsequently leads to the generalized Chaplygin gas model and hence to a third solution. The solutions obtained extend several previous results. This paper also reiterates the need for a noncommutative-geometry background to account for the enormous radial tension that is a characteristic of Morris-Thorne wormholes.
Highlights
Wormholes are tunnel-like structures in spacetime that connect widely separated regions of our Universe or different universes altogether
The flare-out condition refers to the tunnel-like shape of b(r) when viewed, for example, in an embedding diagram [1]. This condition can only be met by violating the null energy condition (NEC)
The shape function is again given by Eq (23), thereby producing a complete wormhole solution
Summary
Wormholes are tunnel-like structures in spacetime that connect widely separated regions of our Universe or different universes altogether. The flare-out condition refers to the tunnel-like shape of b(r) when viewed, for example, in an embedding diagram [1] This condition can only be met by violating the null energy condition (NEC). Regarding the theoretical construction of a wormhole, Morris and Thorne adopted the following strategy: specify the functions b = b(r) and Φ = Φ(r) to produce the desired geometric properties. This strategy retains complete control over the geometry but leads to enormous practical problems: the members of the engineering team must manufacture or search the Universe for matter or fields that yield the required energymomentum tensor.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
