Traversable wormhole models in $f(R)$ gravity

Abstract

In this work, we analyze the wormhole solutions in $f(R)$ gravity. Specifically we sought for wormhole geometry solutions for the following three shape functions: (i) $b(r)=r_0+{\rho }_0{r}_0^3\ln \left(\frac{r_0}{r}\right)$, (ii) $b(r)=r_0+\gamma r_0\left(1-\frac{r_0}{r}\right)$, and (iii) $b(r)=\alpha +\beta r$, under some legitimate physical conditions on the parameters as well as constants involved here with in the shape functions. It is observed from the graphical plots that the behaviour of the physical parameters are interesting and viable.

arXiv comment13 pages, 18 figures, Accepted version in IJMPA

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• Investigation of Traversable Wormhole Solutions in Modified $f(R)$ Gravity with Scalar Potential
• Wormholes in the f(R,L,T) theory of gravity
• Wormhole formation in massive gravity: An analytic description
• Casimir wormhole with GUP correction in extended symmetric teleparallel gravity
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• Existence of non-exotic traversable wormholes in squared trace extended gravity theory
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• Geodesic structure of generalized Vaidya spacetime through the K-essence
• Stealth Ellis Wormholes In Horndeski theories
• Investigating Evolving Wormholes in $f(R,T)$ Gravity
• Does Dynamical Wormhole Evolve From Emergent Scenario?