https://doi.org/10.1140/epjc/s10052-023-11704-7
Regular Article - Theoretical Physics
Investigation of traversable wormhole solutions in modified 
gravity with scalar potential
1
School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang, China
2
Department of Mathematics, University of Management and Technology, Sialkot Campus, Lahore, Pakistan
3
National University of Computer and Emerging Sciences, Lahore Campus, Lahore, Pakistan
4
Department of Mathematics, University of the Punjab, Quaid-i-Azam Campus, 54590, Lahore, Pakistan
Received:
3
May
2023
Accepted:
8
June
2023
Published online:
21
June
2023
The objective of this manuscript is to investigate the traversable wormhole solutions in the background of the 
theory of gravity, where R is the Ricci scalar and 
is the scalar potential respectively. For this reason, we use the Karmarkar criterion for traversable static wormhole geometry to create a wormhole shape function. The suggested shape function creates wormhole geometry that links two asymptotically flat spacetime regions and meets the necessary requirements. The embedding diagram in three-dimensional Euclidean space is also discussed in order to demonstrate the wormhole configurations. For our current analysis, we choose the suitable values of free parameters for gravity models to discuss the wormhole geometry. It can be observed that our proposed shape function provides the wormhole solutions with less amount of exotic matter. It can be noticed that energy conditions especially null energy conditions are violated for all considered models. The violation of energy conditions indicates the existence of exotic matter and wormhole geometry. It is concluded that the shape function acquired through the Karmarkar technique yields validated wormhole configurations with even less exotic matter correlating to the chosen gravity models.
© The Author(s) 2023
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