Traversable and stable wormhole solutions in logarithmic f(R) gravity

TL;DR

This paper explores traversable and stable wormhole solutions within logarithmic f(R) gravity, demonstrating their viability through energy condition violations and stability analysis, with implications for inflationary models.

Contribution

It introduces stable, traversable wormhole solutions in logarithmic f(R) gravity and analyzes their stability and energy conditions, linking them to inflationary parameters.

Findings

Wormhole solutions violate energy conditions indicating exotic matter presence.

Solutions are stable under Tolman-Oppenheimer-Volkoff analysis.

Model parameters align with inflationary constraints.

Abstract

This study aims to investigate the viability of a viable logarithmic f(R) gravity for inflation in giving wormhole solutions. We consider a static and spherically symmetric spacetime and two different shape functions. We found that the model provides traversable wormhole solutions shown by its violation to energy conditions. Violation to null energy condition indicates the existence of traversable wormhole and the existence of exotic matter. The equation of state parameter is less than -1 which shows the presence of phantom fluid. Furthermore, the stability of wormhole is analyzed using Tolman-Oppenheimer-Volkoff equation and we found that the wormhole solutions are stable. Finally, we conclude that the model is viable in giving wormhole solutions with the same parameter constraints as inflation.