Traversable wormhole solutions in f(𝒢,φ) gravity
Аннотация
In this study, we explore traversable wormhole solutions within the framework of [Formula: see text] gravity, utilizing the modified Gauss–Bonnet term [Formula: see text] and a scalar field [Formula: see text] to investigate their impact on wormhole geometry. By constructing an appropriate shape function, we ensure a smooth connection between two asymptotically flat spacetime regions while satisfying the fundamental traversability conditions. Our analysis examines the geometric structure of these wormholes and assesses the energy conditions at the throat to determine the role of exotic matter. Notably, the violation of the energy condition in our models suggests the necessity of non-standard matter sources to sustain the wormhole configuration. The results affirm that within [Formula: see text] gravity, all essential criteria for the existence of traversable wormholes are satisfied, offering new insights into modified gravity theories and their implications for astrophysical phenomena.