# Wormhole Modeling Supported by Non-Exotic Matter

## TL;DR

This paper models traversable wormholes within a specific $f(R)$ gravity framework, analyzing energy conditions and geometric properties without requiring exotic matter, thus contributing to realistic wormhole theories.

## Contribution

It introduces a novel $f(R)$ gravity model for wormholes and examines their energy conditions using a specific shape function, advancing the understanding of non-exotic matter wormholes.

## Key findings

- Energy conditions are satisfied for the proposed model.
- The geometric analysis confirms the traversability of the wormholes.
- The model avoids the need for exotic matter in wormhole construction.

## Abstract

In the present paper, the modelling of traversale wormholes, proposed by Morris \& Thorne \cite{morris1}, is performed within the $f(R)$ gravity with particular viable case $f(R)=R-\mu R_c\Big(\frac{R}{R_c}\Big)^p$, where $\mu, R_c>0$ and $0<p<1$. The energy conditions are analyzed using the shape function $b(r)=\frac{r\log(r+1)}{\log(r_0+1)}$ defined by Godani and Samanta \cite{godani} and geometric nature of wormholes is analyzed.