Viable embedded wormholes and energy conditions in f(ℛ,𝒢) gravity

Abstract

This study explores the generalized embedded wormhole (WH) solutions in the background of [Formula: see text] gravity, where [Formula: see text] represents the Ricci scalar and [Formula: see text] denotes the Gauss–Bonnet invariant. To investigate the necessary structures of the WH solutions we thoroughly analyzed the energy conditions under [Formula: see text] gravity within the anisotropic source of matter. To meet this aim, we consider spherically symmetric geometry with the most generic gravity model of the gravity. A modified version of the field equations is calculated for two different embedded WH solutions. All the energy conditions are calculated and shown graphically with the regional ranges of the model parameter. Further, the invalid region of the energy conditions confirms the presence of exotic matter. Finally, we have concluding remarks.