Static spherically symmetric wormholes in generalized $f(R,\phi)$ gravity

TL;DR

This paper investigates static spherically symmetric wormholes within generalized $f(R,)$ gravity, demonstrating that certain models allow wormholes without exotic matter and satisfying energy conditions for specific fluids.

Contribution

It introduces new wormhole solutions in $f(R,)$ gravity that meet energy conditions, expanding possibilities for realistic wormhole models without exotic matter.

Findings

Wormhole solutions without exotic matter are possible in certain $f(R,)$ models.

Energy conditions (WEC and NEC) can be satisfied for anisotropic and isotropic fluids.

Realistic wormhole geometries satisfying energy conditions are constructed in this framework.

Abstract

In this paper, we examine static spherically symmetric wormhole solutions in generalized $f(R,\phi)$ gravity. To do this, we consider three different kinds of fluids: anisotropic, barotropic and isotropic. We explore different $f(R,\phi)$ models and inspect the energy conditions for all of those three fluids. It is found that under some models in this theory, it is possible to obtain wormhole solutions without requiring exotic matter. The discussion about the conditions where the standard energy conditions (WEC and NEC) are valid for the fluids is discussed in details. From our results and for our cases, we conclude that for anisotropic and isotropic fluids, realistic wormhole geometries satisfying the energy conditions can be constructed.