Traversable wormhole in logarithmic $f(R)$ gravity by various shape and redshift functions

TL;DR

This paper explores traversable wormhole solutions within a logarithmic $f(R)$ gravity framework, analyzing various shape and redshift functions and their impact on energy conditions and physical viability.

Contribution

It introduces specific wormhole models in logarithmic $f(R)$ gravity with detailed analysis of energy conditions for different shape and redshift functions.

Findings

Energy conditions are satisfied under certain shape and redshift functions.

The models demonstrate physically acceptable energy density and pressures.

Plots confirm the viability of the wormhole solutions.

Abstract

We study the traversable wormhole solutions for a logarithmic corrected $f(R)$ model by considering two different statements of shape $b(r)$ and redshift $\Phi(r)$ functions. We calculate the parameters of the model including energy density $\rho$, tangential pressure $P_{t}$ and radial pressure $P_{r}$ for the corresponding forms of the functions. Then, we investigate different energy conditions such as null energy condition, weak energy condition, dominant energy condition and strong energy condition for our considered cases. Finally, we explain the satisfactory conditions of energy of the models by related plots.