The wormhole model with an exponential shape function in the Finslerian framework

Abstract

This paper aims to study the wormhole model with an exponential shape function within the framework of Finsler geometry. By considering anisotropic energy-momentum tensor, we have analyzed the wormhole solution of the gravitational field equation in the Finslerian context. To investigate the viability of the Finslerian wormhole solution, we have discussed the energy conditions and the nature of the parameters like radial and transverse equation-of-state parameters and density. The force due to the contribution of gravity is examined along with the anisotropic force and hydrostatic force to verify whether the obtained exact Finslerian wormhole solution is in equilibrium or not. Further, we have observed that the solution is feasible and physically interesting for analyzing wormholes in the Finslerian structure of space-time.