Traversable wormhole models in $f(R)$ gravity

TL;DR

This paper investigates wormhole solutions within $f(R)$ gravity for three specific shape functions, analyzing their physical viability through graphical plots and parameter conditions.

Contribution

It introduces new wormhole models in $f(R)$ gravity with detailed analysis of their physical properties and parameter constraints.

Findings

Physical parameters behave interestingly and viably.

Wormhole solutions satisfy certain physical conditions.

Graphical analysis supports the viability of the models.

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) $b(r)=r_{0}+\gamma r_{0}\left(1-\dfrac{r_{0}}{r}\right)$, 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.