Abstract
The present work is an attempt to find possible traversable wormhole solutions in static spherically symmetric space-time supported by anisotropic matter field. Part of the work could be considered as a generalization of the work in Cataldo et al. (2016) [10] in the sense that it extends the work done therein. The paper provides several examples of wormholes in anisotropic pressure and provides general mechanisms for finding them. Finally the work examines the energy conditions corresponding to suggested wormhole solutions.
Highlights
The pioneering work of Morris and Thorne [1] has initiated the study of traversable wormholes (TWH) for spherically symmetric space time in the framework of Einstein gravity
It is interesting to note that corresponding to φ0 = 0, WH solutions given by (12), (14) and (20), (21) are same. This shows that the only class of zero-tidal force TWH that are possible in anisotropic pressure with constant pressure function is essentially given by the shape function b(r) r
Spherically symmetric WH solution supported by a phantom like isotropic fluid with a general shape function is provided in details
Summary
The pioneering work of Morris and Thorne [1] has initiated the study of traversable wormholes (TWH) for spherically symmetric space time in the framework of Einstein gravity. [10] have studied WH solutions for matter with isotropic pressure and have concluded few features on the corresponding space-time geometry In this context the present paper studies WH solutions both with isotropic and anisotropic matter fields and infers on the structure of the space-time geometry for the formation of WH. It provides general methods for obtaining WH solutions in both isotropic and anisotropic matter fields.
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