Abstract
The current paper is devoted to investigating wormhole solutions with an exponential gravity model in the background of f ( R ) theory. Spherically symmetric static spacetime geometry is chosen to explore wormhole solutions with anisotropic fluid source. The behavior of the traceless matter is studied by employing a particular equation of state to describe the important properties of the shape-function of the wormhole geometry. Furthermore, the energy conditions and stability analysis are done for two specific shape-functions. It is seen that the energy condition are to be violated for both of the shape-functions chosen here. It is concluded that our results are stable and realistic.
Highlights
The discussion on wormhole geometry is a very hot subject among the investigators of the different modified theories of gravity
To find the wormhole solutions in the background of the f (R) gravity with the specific exponential model given by Equation (14), we examine the energy conditions specially, null energy condition (NEC) and weak energy condition (WEC)
It means that the wormhole geometry is not asymptotically flat and this behavior coincides with the behavior of the already existing wormhole models reported in the literature
Summary
The discussion on wormhole geometry is a very hot subject among the investigators of the different modified theories of gravity. Some important conditions for the existence of viable and traversable wormholes to be satisfied are the shape-function and red-shift function, which are summarized as follows [3]. This study provides the necessary physical properties of shape-function and the energy conditions for traversable wormhole models. For the model given by Equation (14), Cognola et al [28] showed that the inflation and the current accelerated expansion of our Universe arise in a unified and natural way They further showed that this model passes all the local test and is a viable f (R) gravity model.
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