New embedded wormhole solutions in Ricci inverse gravity

TL;DR

This paper introduces two new traversable wormhole solutions within Ricci inverse gravity, analyzing their properties, energy conditions, and the necessity of exotic matter, supported by embedded diagrams and red-blue shift effects.

Contribution

The study presents novel embedded wormhole solutions in Ricci inverse gravity using the class-I approach, expanding the understanding of wormholes in higher-order gravity theories.

Findings

Existence of traversable wormholes in Ricci inverse gravity.

Negative energy regions confirm the presence of exotic matter.

Embedded diagrams illustrate wormhole structures.

Abstract

In this letter, we obtain two new embedded WH solutions by using the class-I approach in the background of newly fourth-order Ricci inverse gravity. We show that the combination of these newly calculated shape functions and Ricci inverse gravity provides us with the possibility of obtaining traversable wormholes. All the required wormhole properties are discussed, along with flaring out and flatness conditions. The embedded diagrams within the scope of upper and lower universes are provided under the effect of both newly calculated embedded shape functions. All the energy conditions are explored with valid and negative regions. The presence of exotic matter is confirmed due to the negative region in all the energy conditions, specifically in the null energy condition. The Doppler effect through the red-blue shifts function is also discussed. Several key findings from the current research are described that demonstrate the validity of these wormhole solutions in Ricci inverse gravity.