Yukawa–Casimir wormholes in the framework of f(R) gravity

Abstract In this article, we explore the Yukawa modification of the Casimir wormhole within the framework of f ( R ) gravity. To accomplish this, we adopt an approach proposed by Garattini (Eur Phys J C 81:824, 2021), wherein the original Casimir source is modified by a Yukawa term in three distinct scenarios. We utilize these Yukawa Casimir energy densities to assess the feasibility of traversable wormholes. The resulting shape function satisfies the criteria for traversability under the specified parameter values. Furthermore, we scrutinize the energy conditions and the violation of the null energy conditions suggests the presence of exotic matter within the Yukawa Casimir wormholes. Additionally, we analyze the embedding procedures for the wormhole geometry.