Wormhole solutions in $f(R)$ gravity theory for Chaplygin gas scenario

TL;DR

This paper explores wormhole solutions within $f(R)$ gravity using Chaplygin gas as the matter source, analyzing energy conditions and shape functions to identify physically viable models.

Contribution

It introduces specific wormhole solutions in $f(R)$ gravity with Chaplygin gas, examining energy conditions for different shape functions and identifying regions where conditions are satisfied.

Findings

Major energy conditions are satisfied in certain regions.

Two different shape functions yield viable wormhole solutions.

Energy conditions depend on the choice of shape function.

Abstract

The present paper deals with some wormhole solutions which are obtained by taking two different shape functions along with zero tidal force. For obtaining wormhole solutions, anisotropic fluid and a equation of state $p_t=-\frac{a}{\rho}$ related by Chaplygin gas are considered where $\rho$ is the energy density, $p_t$ is tangential pressure and $a$ is positive constant. Energy conditions are examined for two different models, and it is found that a major energy conditions are satisfied in a region.