Hyperbolic Casimir-like wormhole

We present exact solutions for a traversable wormhole geometry within a static, hyperbolically symmetric spacetime. While conventional wormholes require exotic matter to violate the null energy condition and keep the throat open, hyperbolic symmetry naturally sources the required negative energy density. Our construction is an interior solution, located entirely inside an event horizon and matched smoothly to an exterior anti-Schwarzschild vacuum without requiring a thin shell. To solve Einstein's field equations for an anisotropic fluid, we specify a generalized redshift function and a complexity factor, a quantity relating pressure anisotropy and density inhomogeneity. This strategy allows us to construct a specific "Casimir-like" traversable hyperbolic wormhole, whose properties are fully determined by its mass and boundary radius. We find that physically viable solutions, which satisfy the flaring-out condition and maintain tidal forces below one Earth gravity for a human traveler, are constrained to a compact region. Notably, the exotic matter supporting our wormhole is confined to this compact interior, a significant feature compared to asymptotically flat models where it must extend through all the spacetime.