Title: Wormholes satisfying the Energy Conditions in f(R) Gravity and
Non-commutative Geometry
Abstract:Traversable wormhole solutions in general relativity (GR) require exotic matter sources that violate the null energy condition, and such exotic behavior may be avoided in $f(R)$ modified gravity. More...Traversable wormhole solutions in general relativity (GR) require exotic matter sources that violate the null energy condition, and such exotic behavior may be avoided in $f(R)$ modified gravity. Moreover, the concept of non-commutative geometry as a gravitational source can be leveraged both in GR and modified gravity to realize non-trivial space-time configurations. In this study, we investigate a viable $f(R)$ gravity model and non-commutative geometry to analyze spherically symmetric traversable Morris-Thorne wormhole solutions. We analyze the different energy conditions, and demonstrate that wormholes satisfying the energy conditions can be realized in both frameworks.Read More