Hot Casimir wormholes in Einstein Gauss-Bonnet gravity

Abstract In this work, we explore the thermal effects on Casimir wormholes in the context of higher-dimensional Einstein-Gauss-Bonnet gravity. Motivated by the fundamental role of EGB gravity in describing a wide range of gravitational phenomena, we investigate how thermal fluctuations affect the quantum vacuum energy density associated with the Casimir effect and its impact on the global structure of traversable wormholes. By deriving the shape function from the EGB field equations with thermally corrected Casimir energy, we verify that all necessary geometric conditions for wormhole formation are satisfied, including asymptotic flatness and embedding diagrams. Our results indicate that thermal corrections modify the wormhole's geometry, increasing spatial curvature in the throat region and influencing its traversability, energy conditions, stability, and complexity. Expanding on the approach of reference [36,38,40], we adopt here the appropriate formulation for Casimir wormholes in Einstein-Gauss-Bonnet gravity, taking into account the Casimir energy density in higher dimensions and its thermal correction. This approach allows us to obtain more accurate and wider results compared to the simplified approximation previously used.