We studied wormholes in f(R,□R) gravity, where the gravitational action depends on the Ricci scalar R and its d’Alembertian □R. Such models are motivated by quantum corrections to general relativity. We derived field equations for a static, spherically symmetric wormhole; solutions were explored analytically and numerically. Special attention was given to the classical energy conditions, which are typically violated in wormhole physics. We showed that higher-order corrections effectively contribute to the energy-momentum tensor, reducing the amount of exotic matter required at the throat, and in some cases eliminating it altogether. This suggests that higher curvature terms can play the role of the missing matter, making traversable wormholes potentially feasible in quantum-gravity scenarios.
A wormhole is a tunnel through the fabric of spacetime, an idea expanded by John Wheeler and Kip Thorne. Just as a mountain passage tends to cave in, the throat of a wormhole wants to snap shut. Normally, it's propped open with exotic matter that has negative energy—a substance that pushes space apart, like dark energy. Only we don't have any.
Now, researchers have revisited gravity. Instead of hunting for nonexistent material, they tweaked the equations, adding extra spacetime curvature. Think of an arch bridge: to keep a span from falling, you could prop it with beams you lack, or you can design the arch's curve so it holds itself. Here, the geometry of space is the support. The math checks out: a traversable wormhole (a cousin of black holes) works without exotic matter, and the forces inside are no stronger than Earth's gravity. Sci-fi portals become a far-future engineering challenge.
🎯 Physicist John Wheeler coined the term "wormhole," comparing spacetime to an apple a worm bores through.
🎬 In the movie Interstellar, a wormhole let the heroes cross the galaxy in an instant.