Validation of Energy Conditions in Wormhole Geometry within Viable $f(R)$ Gravity

Understand

In this work, wormholes, tunnel like structures introduced by Morris \& Thorne \cite{Morris95}, are explored within the framework of $f(R)$ gravity.

• Using the shape function $b(r)=r_0\big(\frac{r}{r_0}\big)^\gamma$, where $0<\gamma<1$, and the equation of state $p_r=\omega\rho$, the $f(R)$ function is derived and the field equations are solved.
• Then null, weak, strong and dominated energy conditions are analyzed and spherical regions satisfying these energy conditions are determined.
• Furthermore, we calculated the range of the radius of the throat of the wormhole, where the energy conditions are satisfied.